Budgeted learning, part I The multi-armed bandit case. submitted
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名词解释中英文对比<using_information_sources> social networks 社会网络abductive reasoning 溯因推理action recognition(行为识别)active learning(主动学习)adaptive systems 自适应系统adverse drugs reactions(药物不良反应)algorithm design and analysis(算法设计与分析) algorithm(算法)artificial intelligence 人工智能association rule(关联规则)attribute value taxonomy 属性分类规范automomous agent 自动代理automomous systems 自动系统background knowledge 背景知识bayes methods(贝叶斯方法)bayesian inference(贝叶斯推断)bayesian methods(bayes 方法)belief propagation(置信传播)better understanding 内涵理解big data 大数据big data(大数据)biological network(生物网络)biological sciences(生物科学)biomedical domain 生物医学领域biomedical research(生物医学研究)biomedical text(生物医学文本)boltzmann machine(玻尔兹曼机)bootstrapping method 拔靴法case based reasoning 实例推理causual models 因果模型citation matching (引文匹配)classification (分类)classification algorithms(分类算法)clistering algorithms 聚类算法cloud computing(云计算)cluster-based retrieval (聚类检索)clustering (聚类)clustering algorithms(聚类算法)clustering 聚类cognitive science 认知科学collaborative filtering (协同过滤)collaborative filtering(协同过滤)collabrative ontology development 联合本体开发collabrative ontology engineering 联合本体工程commonsense knowledge 常识communication networks(通讯网络)community detection(社区发现)complex data(复杂数据)complex dynamical networks(复杂动态网络)complex network(复杂网络)complex network(复杂网络)computational biology 计算生物学computational biology(计算生物学)computational complexity(计算复杂性) computational intelligence 智能计算computational modeling(计算模型)computer animation(计算机动画)computer networks(计算机网络)computer science 计算机科学concept clustering 概念聚类concept formation 概念形成concept learning 概念学习concept map 概念图concept model 概念模型concept modelling 概念模型conceptual model 概念模型conditional random field(条件随机场模型) conjunctive quries 合取查询constrained least squares (约束最小二乘) convex programming(凸规划)convolutional neural networks(卷积神经网络) customer relationship management(客户关系管理) data analysis(数据分析)data analysis(数据分析)data center(数据中心)data clustering (数据聚类)data compression(数据压缩)data envelopment analysis (数据包络分析)data fusion 数据融合data generation(数据生成)data handling(数据处理)data hierarchy (数据层次)data integration(数据整合)data integrity 数据完整性data intensive computing(数据密集型计算)data management 数据管理data management(数据管理)data management(数据管理)data miningdata mining 数据挖掘data model 数据模型data models(数据模型)data partitioning 数据划分data point(数据点)data privacy(数据隐私)data security(数据安全)data stream(数据流)data streams(数据流)data structure( 数据结构)data structure(数据结构)data visualisation(数据可视化)data visualization 数据可视化data visualization(数据可视化)data warehouse(数据仓库)data warehouses(数据仓库)data warehousing(数据仓库)database management systems(数据库管理系统)database management(数据库管理)date interlinking 日期互联date linking 日期链接Decision analysis(决策分析)decision maker 决策者decision making (决策)decision models 决策模型decision models 决策模型decision rule 决策规则decision support system 决策支持系统decision support systems (决策支持系统) decision tree(决策树)decission tree 决策树deep belief network(深度信念网络)deep learning(深度学习)defult reasoning 默认推理density estimation(密度估计)design methodology 设计方法论dimension reduction(降维) dimensionality reduction(降维)directed graph(有向图)disaster management 灾害管理disastrous event(灾难性事件)discovery(知识发现)dissimilarity (相异性)distributed databases 分布式数据库distributed databases(分布式数据库) distributed query 分布式查询document clustering (文档聚类)domain experts 领域专家domain knowledge 领域知识domain specific language 领域专用语言dynamic databases(动态数据库)dynamic logic 动态逻辑dynamic network(动态网络)dynamic system(动态系统)earth mover's distance(EMD 距离) education 教育efficient algorithm(有效算法)electric commerce 电子商务electronic health records(电子健康档案) entity disambiguation 实体消歧entity recognition 实体识别entity recognition(实体识别)entity resolution 实体解析event detection 事件检测event detection(事件检测)event extraction 事件抽取event identificaton 事件识别exhaustive indexing 完整索引expert system 专家系统expert systems(专家系统)explanation based learning 解释学习factor graph(因子图)feature extraction 特征提取feature extraction(特征提取)feature extraction(特征提取)feature selection (特征选择)feature selection 特征选择feature selection(特征选择)feature space 特征空间first order logic 一阶逻辑formal logic 形式逻辑formal meaning prepresentation 形式意义表示formal semantics 形式语义formal specification 形式描述frame based system 框为本的系统frequent itemsets(频繁项目集)frequent pattern(频繁模式)fuzzy clustering (模糊聚类)fuzzy clustering (模糊聚类)fuzzy clustering (模糊聚类)fuzzy data mining(模糊数据挖掘)fuzzy logic 模糊逻辑fuzzy set theory(模糊集合论)fuzzy set(模糊集)fuzzy sets 模糊集合fuzzy systems 模糊系统gaussian processes(高斯过程)gene expression data 基因表达数据gene expression(基因表达)generative model(生成模型)generative model(生成模型)genetic algorithm 遗传算法genome wide association study(全基因组关联分析) graph classification(图分类)graph classification(图分类)graph clustering(图聚类)graph data(图数据)graph data(图形数据)graph database 图数据库graph database(图数据库)graph mining(图挖掘)graph mining(图挖掘)graph partitioning 图划分graph query 图查询graph structure(图结构)graph theory(图论)graph theory(图论)graph theory(图论)graph theroy 图论graph visualization(图形可视化)graphical user interface 图形用户界面graphical user interfaces(图形用户界面)health care 卫生保健health care(卫生保健)heterogeneous data source 异构数据源heterogeneous data(异构数据)heterogeneous database 异构数据库heterogeneous information network(异构信息网络) heterogeneous network(异构网络)heterogenous ontology 异构本体heuristic rule 启发式规则hidden markov model(隐马尔可夫模型)hidden markov model(隐马尔可夫模型)hidden markov models(隐马尔可夫模型) hierarchical clustering (层次聚类) homogeneous network(同构网络)human centered computing 人机交互技术human computer interaction 人机交互human interaction 人机交互human robot interaction 人机交互image classification(图像分类)image clustering (图像聚类)image mining( 图像挖掘)image reconstruction(图像重建)image retrieval (图像检索)image segmentation(图像分割)inconsistent ontology 本体不一致incremental learning(增量学习)inductive learning (归纳学习)inference mechanisms 推理机制inference mechanisms(推理机制)inference rule 推理规则information cascades(信息追随)information diffusion(信息扩散)information extraction 信息提取information filtering(信息过滤)information filtering(信息过滤)information integration(信息集成)information network analysis(信息网络分析) information network mining(信息网络挖掘) information network(信息网络)information processing 信息处理information processing 信息处理information resource management (信息资源管理) information retrieval models(信息检索模型) information retrieval 信息检索information retrieval(信息检索)information retrieval(信息检索)information science 情报科学information sources 信息源information system( 信息系统)information system(信息系统)information technology(信息技术)information visualization(信息可视化)instance matching 实例匹配intelligent assistant 智能辅助intelligent systems 智能系统interaction network(交互网络)interactive visualization(交互式可视化)kernel function(核函数)kernel operator (核算子)keyword search(关键字检索)knowledege reuse 知识再利用knowledgeknowledgeknowledge acquisitionknowledge base 知识库knowledge based system 知识系统knowledge building 知识建构knowledge capture 知识获取knowledge construction 知识建构knowledge discovery(知识发现)knowledge extraction 知识提取knowledge fusion 知识融合knowledge integrationknowledge management systems 知识管理系统knowledge management 知识管理knowledge management(知识管理)knowledge model 知识模型knowledge reasoningknowledge representationknowledge representation(知识表达) knowledge sharing 知识共享knowledge storageknowledge technology 知识技术knowledge verification 知识验证language model(语言模型)language modeling approach(语言模型方法) large graph(大图)large graph(大图)learning(无监督学习)life science 生命科学linear programming(线性规划)link analysis (链接分析)link prediction(链接预测)link prediction(链接预测)link prediction(链接预测)linked data(关联数据)location based service(基于位置的服务) loclation based services(基于位置的服务) logic programming 逻辑编程logical implication 逻辑蕴涵logistic regression(logistic 回归)machine learning 机器学习machine translation(机器翻译)management system(管理系统)management( 知识管理)manifold learning(流形学习)markov chains 马尔可夫链markov processes(马尔可夫过程)matching function 匹配函数matrix decomposition(矩阵分解)matrix decomposition(矩阵分解)maximum likelihood estimation(最大似然估计)medical research(医学研究)mixture of gaussians(混合高斯模型)mobile computing(移动计算)multi agnet systems 多智能体系统multiagent systems 多智能体系统multimedia 多媒体natural language processing 自然语言处理natural language processing(自然语言处理) nearest neighbor (近邻)network analysis( 网络分析)network analysis(网络分析)network analysis(网络分析)network formation(组网)network structure(网络结构)network theory(网络理论)network topology(网络拓扑)network visualization(网络可视化)neural network(神经网络)neural networks (神经网络)neural networks(神经网络)nonlinear dynamics(非线性动力学)nonmonotonic reasoning 非单调推理nonnegative matrix factorization (非负矩阵分解) nonnegative matrix factorization(非负矩阵分解) object detection(目标检测)object oriented 面向对象object recognition(目标识别)object recognition(目标识别)online community(网络社区)online social network(在线社交网络)online social networks(在线社交网络)ontology alignment 本体映射ontology development 本体开发ontology engineering 本体工程ontology evolution 本体演化ontology extraction 本体抽取ontology interoperablity 互用性本体ontology language 本体语言ontology mapping 本体映射ontology matching 本体匹配ontology versioning 本体版本ontology 本体论open government data 政府公开数据opinion analysis(舆情分析)opinion mining(意见挖掘)opinion mining(意见挖掘)outlier detection(孤立点检测)parallel processing(并行处理)patient care(病人医疗护理)pattern classification(模式分类)pattern matching(模式匹配)pattern mining(模式挖掘)pattern recognition 模式识别pattern recognition(模式识别)pattern recognition(模式识别)personal data(个人数据)prediction algorithms(预测算法)predictive model 预测模型predictive models(预测模型)privacy preservation(隐私保护)probabilistic logic(概率逻辑)probabilistic logic(概率逻辑)probabilistic model(概率模型)probabilistic model(概率模型)probability distribution(概率分布)probability distribution(概率分布)project management(项目管理)pruning technique(修剪技术)quality management 质量管理query expansion(查询扩展)query language 查询语言query language(查询语言)query processing(查询处理)query rewrite 查询重写question answering system 问答系统random forest(随机森林)random graph(随机图)random processes(随机过程)random walk(随机游走)range query(范围查询)RDF database 资源描述框架数据库RDF query 资源描述框架查询RDF repository 资源描述框架存储库RDF storge 资源描述框架存储real time(实时)recommender system(推荐系统)recommender system(推荐系统)recommender systems 推荐系统recommender systems(推荐系统)record linkage 记录链接recurrent neural network(递归神经网络) regression(回归)reinforcement learning 强化学习reinforcement learning(强化学习)relation extraction 关系抽取relational database 关系数据库relational learning 关系学习relevance feedback (相关反馈)resource description framework 资源描述框架restricted boltzmann machines(受限玻尔兹曼机) retrieval models(检索模型)rough set theroy 粗糙集理论rough set 粗糙集rule based system 基于规则系统rule based 基于规则rule induction (规则归纳)rule learning (规则学习)rule learning 规则学习schema mapping 模式映射schema matching 模式匹配scientific domain 科学域search problems(搜索问题)semantic (web) technology 语义技术semantic analysis 语义分析semantic annotation 语义标注semantic computing 语义计算semantic integration 语义集成semantic interpretation 语义解释semantic model 语义模型semantic network 语义网络semantic relatedness 语义相关性semantic relation learning 语义关系学习semantic search 语义检索semantic similarity 语义相似度semantic similarity(语义相似度)semantic web rule language 语义网规则语言semantic web 语义网semantic web(语义网)semantic workflow 语义工作流semi supervised learning(半监督学习)sensor data(传感器数据)sensor networks(传感器网络)sentiment analysis(情感分析)sentiment analysis(情感分析)sequential pattern(序列模式)service oriented architecture 面向服务的体系结构shortest path(最短路径)similar kernel function(相似核函数)similarity measure(相似性度量)similarity relationship (相似关系)similarity search(相似搜索)similarity(相似性)situation aware 情境感知social behavior(社交行为)social influence(社会影响)social interaction(社交互动)social interaction(社交互动)social learning(社会学习)social life networks(社交生活网络)social machine 社交机器social media(社交媒体)social media(社交媒体)social media(社交媒体)social network analysis 社会网络分析social network analysis(社交网络分析)social network(社交网络)social network(社交网络)social science(社会科学)social tagging system(社交标签系统)social tagging(社交标签)social web(社交网页)sparse coding(稀疏编码)sparse matrices(稀疏矩阵)sparse representation(稀疏表示)spatial database(空间数据库)spatial reasoning 空间推理statistical analysis(统计分析)statistical model 统计模型string matching(串匹配)structural risk minimization (结构风险最小化) structured data 结构化数据subgraph matching 子图匹配subspace clustering(子空间聚类)supervised learning( 有support vector machine 支持向量机support vector machines(支持向量机)system dynamics(系统动力学)tag recommendation(标签推荐)taxonmy induction 感应规范temporal logic 时态逻辑temporal reasoning 时序推理text analysis(文本分析)text anaylsis 文本分析text classification (文本分类)text data(文本数据)text mining technique(文本挖掘技术)text mining 文本挖掘text mining(文本挖掘)text summarization(文本摘要)thesaurus alignment 同义对齐time frequency analysis(时频分析)time series analysis( 时time series data(时间序列数据)time series data(时间序列数据)time series(时间序列)topic model(主题模型)topic modeling(主题模型)transfer learning 迁移学习triple store 三元组存储uncertainty reasoning 不精确推理undirected graph(无向图)unified modeling language 统一建模语言unsupervisedupper bound(上界)user behavior(用户行为)user generated content(用户生成内容)utility mining(效用挖掘)visual analytics(可视化分析)visual content(视觉内容)visual representation(视觉表征)visualisation(可视化)visualization technique(可视化技术) visualization tool(可视化工具)web 2.0(网络2.0)web forum(web 论坛)web mining(网络挖掘)web of data 数据网web ontology lanuage 网络本体语言web pages(web 页面)web resource 网络资源web science 万维科学web search (网络检索)web usage mining(web 使用挖掘)wireless networks 无线网络world knowledge 世界知识world wide web 万维网world wide web(万维网)xml database 可扩展标志语言数据库附录 2 Data Mining 知识图谱(共包含二级节点15 个,三级节点93 个)间序列分析)监督学习)领域 二级分类 三级分类。
Linear Algebra and its Applications432(2010)2089–2099Contents lists available at ScienceDirect Linear Algebra and its Applications j o u r n a l h o m e p a g e:w w w.e l s e v i e r.c o m/l o c a t e/l aaIntegrating learning theories and application-based modules in teaching linear algebraୋWilliam Martin a,∗,Sergio Loch b,Laurel Cooley c,Scott Dexter d,Draga Vidakovic ea Department of Mathematics and School of Education,210F Family Life Center,NDSU Department#2625,P.O.Box6050,Fargo ND 58105-6050,United Statesb Department of Mathematics,Grand View University,1200Grandview Avenue,Des Moines,IA50316,United Statesc Department of Mathematics,CUNY Graduate Center and Brooklyn College,2900Bedford Avenue,Brooklyn,New York11210, United Statesd Department of Computer and Information Science,CUNY Brooklyn College,2900Bedford Avenue Brooklyn,NY11210,United Statese Department of Mathematics and Statistics,Georgia State University,University Plaza,Atlanta,GA30303,United StatesA R T I C L E I N F O AB S T R AC TArticle history:Received2October2008Accepted29August2009Available online30September2009 Submitted by L.Verde-StarAMS classification:Primary:97H60Secondary:97C30Keywords:Linear algebraLearning theoryCurriculumPedagogyConstructivist theoriesAPOS–Action–Process–Object–Schema Theoretical frameworkEncapsulated process The research team of The Linear Algebra Project developed and implemented a curriculum and a pedagogy for parallel courses in (a)linear algebra and(b)learning theory as applied to the study of mathematics with an emphasis on linear algebra.The purpose of the ongoing research,partially funded by the National Science Foundation,is to investigate how the parallel study of learning theories and advanced mathematics influences the development of thinking of individuals in both domains.The researchers found that the particular synergy afforded by the parallel study of math and learning theory promoted,in some students,a rich understanding of both domains and that had a mutually reinforcing effect.Furthermore,there is evidence that the deeper insights will contribute to more effective instruction by those who become high school math teachers and,consequently,better learning by their students.The courses developed were appropriate for mathematics majors,pre-service secondary mathematics teachers, and practicing mathematics teachers.The learning seminar focused most heavily on constructivist theories,although it also examinedThe work reported in this paper was partially supported by funding from the National Science Foundation(DUE CCLI 0442574).∗Corresponding author.Address:NDSU School of Education,NDSU Department of Mathematics,210F Family Life Center, NDSU Department#2625,P.O.Box6050,Fargo ND58105-6050,United States.Tel.:+17012317104;fax:+17012317416.E-mail addresses:william.martin@(W.Martin),sloch@(S.Loch),LCooley@ (L.Cooley),SDexter@(S.Dexter),dvidakovic@(D.Vidakovic).0024-3795/$-see front matter©2009Elsevier Inc.All rights reserved.doi:10.1016/a.2009.08.0302090W.Martin et al./Linear Algebra and its Applications432(2010)2089–2099Thematicized schema Triad–intraInterTransGenetic decomposition Vector additionMatrixMatrix multiplication Matrix representation BasisColumn spaceRow spaceNull space Eigenspace Transformation socio-cultural and historical perspectives.A particular theory, Action–Process–Object–Schema(APOS)[10],was emphasized and examined through the lens of studying linear algebra.APOS has been used in a variety of studies focusing on student understanding of undergraduate mathematics.The linear algebra courses include the standard set of undergraduate topics.This paper reports the re-sults of the learning theory seminar and its effects on students who were simultaneously enrolled in linear algebra and students who had previously completed linear algebra and outlines how prior research has influenced the future direction of the project.©2009Elsevier Inc.All rights reserved.1.Research rationaleThe research team of the Linear Algebra Project(LAP)developed and implemented a curriculum and a pedagogy for parallel courses in linear algebra and learning theory as applied to the study of math-ematics with an emphasis on linear algebra.The purpose of the research,which was partially funded by the National Science Foundation(DUE CCLI0442574),was to investigate how the parallel study of learning theories and advanced mathematics influences the development of thinking of high school mathematics teachers,in both domains.The researchers found that the particular synergy afforded by the parallel study of math and learning theory promoted,in some teachers,a richer understanding of both domains that had a mutually reinforcing effect and affected their thinking about their identities and practices as teachers.It has been observed that linear algebra courses often are viewed by students as a collection of definitions and procedures to be learned by rote.Scanning the table of contents of many commonly used undergraduate textbooks will provide a common list of terms such as listed here(based on linear algebra texts by Strang[1]and Lang[2]).Vector space Kernel GaussianIndependence Image TriangularLinear combination Inverse Gram–SchmidtSpan Transpose EigenvectorBasis Orthogonal Singular valueSubspace Operator DecompositionProjection Diagonalization LU formMatrix Normal form NormDimension Eignvalue ConditionLinear transformation Similarity IsomorphismRank Diagonalize DeterminantThis is not something unique to linear algebra–a similar situation holds for many undergraduate mathematics courses.Certainly the authors of undergraduate texts do not share this student view of mathematics.In fact,the variety ways in which different authors organize their texts reflects the individual ways in which they have conceptualized introductory linear algebra courses.The wide vari-ability that can be seen in a perusal of the many linear algebra texts that are used is a reflection the many ways that mathematicians think about linear algebra and their beliefs about how students can come to make sense of the content.Instruction in a course is based on considerations of content,pedagogy, resources(texts and other materials),and beliefs about teaching and learning of mathematics.The interplay of these ideas shaped our research project.We deliberately mention two authors with clearly differing perspectives on an undergraduate linear algebra course:Strang’s organization of the material takes an applied or application perspective,while Lang views the material from more of a“pure mathematics”perspective.A review of the wide variety of textbooks to classify and categorize the different views of the subject would reveal a broad variety of perspectives on the teaching of the subject.We have taken a view that seeks to go beyond the mathe-matical content to integrate current theoretical perspectives on the teaching and learning of undergrad-uate mathematics.Our project used integration of mathematical content,applications,and learningW.Martin et al./Linear Algebra and its Applications432(2010)2089–20992091 theories to provide enhanced learning experiences using rich content,student meta cognition,and their own experience and intuition.The project also used co-teaching and collaboration among faculty with expertise in a variety of areas including mathematics,computer science and mathematics education.If one moves beyond the organization of the content of textbooks wefind that at their heart they do cover a common core of the key ideas of linear algebra–all including fundamental concepts such as vector space and linear transformation.These observations lead to our key question“How is one to think about this task of organizing instruction to optimize learning?”In our work we focus on the conception of linear algebra that is developed by the student and its relationship with what we reveal about our own understanding of the subject.It seems that even in cases where researchers consciously study the teaching and learning of linear algebra(or other mathematics topics)the questions are“What does it mean to understand linear algebra?”and“How do I organize instruction so that students develop that conception as fully as possible?”In broadest terms, our work involves(a)simultaneous study of linear algebra and learning theories,(b)having students connect learning theories to their study of linear algebra,and(c)the use of parallel mathematics and education courses and integrated workshops.As students simultaneously study mathematics and learning theory related to the study of mathe-matics,we expect that reflection or meta cognition on their own learning will enable them to construct deeper and more meaningful understanding in both domains.We chose linear algebra for several reasons:It has not been the focus of as much instructional research as calculus,it involves abstraction and proof,and it is taken by many students in different programs for a variety of reasons.It seems to us to involve important mathematical content along with rich applications,with abstraction that builds on experience and intuition.In our pilot study we taught parallel courses:The regular upper division undergraduate linear algebra course and a seminar in learning theories in mathematics education.Early in the project we also organized an intensive three-day workshop for teachers and prospective teachers that included topics in linear algebra and examination of learning theory.In each case(two sets of parallel courses and the workshop)we had students reflect on their learning of linear algebra content and asked them to use their own learning experiences to reflect on the ideas about teaching and learning of mathematics.Students read articles–in the case of the workshop,this reading was in advance of the long weekend session–drawn from mathematics education sources including[3–10].APOS(Action,Process,Object,Schema)is a theoretical framework that has been used by many researchers who study the learning of undergraduate and graduate mathematics[10,11].We include a sketch of the structure of this framework and refer the reader to the literature for more detailed descriptions.More detailed and specific illustrations of its use are widely available[12].The APOS Theoretical Framework involves four levels of understanding that can be described for a wide variety of mathematical concepts such as function,vector space,linear transformation:Action,Process,Object (either an encapsulated process or a thematicized schema),Schema(Intra,inter,trans–triad stages of schema formation).Genetic decomposition is the analysis of a particular concept in which developing understanding is described as a dynamic process of mental constructions that continually develop, abstract,and enrich the structural organization of an individual’s knowledge.We believe that students’simultaneous study of linear algebra along with theoretical examination of teaching and learning–particularly on what it means to develop conceptual understanding in a domain –will promote learning and understanding in both domains.Fundamentally,this reflects our view that conceptual understanding in any domain involves rich mental connections that link important ideas or facts,increasing the individual’s ability to relate new situations and problems to that existing cognitive framework.This view of conceptual understanding of mathematics has been described by various prominent math education researchers such as Hiebert and Carpenter[6]and Hiebert and Lefevre[7].2.Action–Process–Object–Schema theory(APOS)APOS theory is a theoretical perspective of learning based on an interpretation of Piaget’s construc-tivism and poses descriptions of mental constructions that may occur in understanding a mathematical concept.These constructions are called Actions,Processes,Objects,and Schema.2092W.Martin et al./Linear Algebra and its Applications432(2010)2089–2099 An action is a transformation of a mathematical object according to an explicit algorithm seen as externally driven.It may be a manipulation of objects or acting upon a memorized fact.When one reflects upon an action,constructing an internal operation for a transformation,the action begins to be interiorized.A process is this internal transformation of an object.Each step may be described or reflected upon without actually performing it.Processes may be transformed through reversal or coordination with other processes.There are two ways in which an individual may construct an object.A person may reflect on actions applied to a particular process and become aware of the process as a totality.One realizes that transformations(whether actions or processes)can act on the process,and is able to actually construct such transformations.At this point,the individual has reconstructed a process as a cognitive object. In this case we say that the process has been encapsulated into an object.One may also construct a cognitive object by reflecting on a schema,becoming aware of it as a totality.Thus,he or she is able to perform actions on it and we say the individual has thematized the schema into an object.With an object conception one is able to de-encapsulate that object back into the process from which it came, or,in the case of a thematized schema,unpack it into its various components.Piaget and Garcia[13] indicate that thematization has occurred when there is a change from usage or implicit application to consequent use and conceptualization.A schema is a collection of actions,processes,objects,and other previously constructed schemata which are coordinated and synthesized to form mathematical structures utilized in problem situations. Objects may be transformed by higher-level actions,leading to new processes,objects,and schemata. Hence,reconstruction continues in evolving schemata.To illustrate different conceptions of the APOS theory,imagine the following’teaching’scenario.We give students multi-part activities in a technology supported environment.In particular,we assume students are using Maple in the computer lab.The multi-part activities,focusing on vectors and operations,in Maple begin with a given Maple code and drawing.In case of scalar multiplication of the vector,students are asked to substitute one parameter in the Maple code,execute the code and observe what has happened.They are asked to repeat this activity with a different value of the parameter.Then students are asked to predict what will happen in a more general case and to explain their reasoning.Similarly,students may explore addition and subtraction of vectors.In the next part of activity students might be asked to investigate about the commutative property of vector addition.Based on APOS theory,in thefirst part of the activity–in which students are asked to perform certain operation and make observations–our intention is to induce each student’s action conception of that concept.By asking students to imagine what will happen if they make a certain change–but do not physically perform that change–we are hoping to induce a somewhat higher level of students’thinking, the process level.In order to predict what will happen students would have to imagine performing the action based on the actions they performed before(reflective abstraction).Activities designed to explore on vector addition properties require students to encapsulate the process of addition of two vectors into an object on which some other action could be performed.For example,in order for a student to conclude that u+v=v+u,he/she must encapsulate a process of adding two vectors u+v into an object(resulting vector)which can further be compared[action]with another vector representing the addition of v+u.As with all theories of learning,APOS has a limitation that researchers may only observe externally what one produces and discusses.While schemata are viewed as dynamic,the task is to attempt to take a snap shot of understanding at a point in time using a genetic decomposition.A genetic decomposition is a description by the researchers of specific mental constructions one may make in understanding a mathematical concept.As with most theories(economics,physics)that have restrictions,it can still be very useful in describing what is observed.3.Initial researchIn our preliminary study we investigated three research questions:•Do participants make connections between linear algebra content and learning theories?•Do participants reflect upon their own learning in terms of studied learning theories?W.Martin et al./Linear Algebra and its Applications432(2010)2089–20992093•Do participants connect their study of linear algebra and learning theories to the mathematics content or pedagogy for their mathematics teaching?In addition to linear algebra course activities designed to engage students in explorations of concepts and discussions about learning theories and connections between the two domains,we had students construct concept maps and describe how they viewed the connections between the two subjects. We found that some participants saw significant connections and were able to apply APOS theory appropriately to their learning of linear algebra.For example,here is a sketch outline of how one participant described the elements of the APOS framework late in the semester.The student showed a reasonable understanding of the theoretical framework and then was able to provide an example from linear algebra to illustrate the model.The student’s description of the elements of APOS:Action:“Students’approach is to apply‘external’rules tofind solutions.The rules are said to be external because students do not have an internalized understanding of the concept or the procedure tofind a solution.”Process:“At the process level,students are able to solve problems using an internalized understand-ing of the algorithm.They do not need to write out an equation or draw a graph of a function,for example.They can look at a problem and understand what is going on and what the solution might look like.”Object level as performing actions on a process:“At the object level,students have an integrated understanding of the processes used to solve problems relating to a particular concept.They un-derstand how a process can be transformed by different actions.They understand how different processes,with regard to a particular mathematical concept,are related.If a problem does not conform to their particular action-level understanding,they can modify the procedures necessary tofind a solution.”Schema as a‘set’of knowledge that may be modified:“Schema–At the schema level,students possess a set of knowledge related to a particular concept.They are able to modify this set of knowledge as they gain more experience working with the concept and solving different kinds of problems.They see how the concept is related to other concepts and how processes within the concept relate to each other.”She used the ideas of determinant and basis to illustrate her understanding of the framework. (Another student also described how student recognition of the recursive relationship of computations of determinants of different orders corresponded to differing levels of understanding in the APOS framework.)Action conception of determinant:“A student at the action level can use an algorithm to calculate the determinant of a matrix.At this level(at least for me),the formula was complicated enough that I would always check that the determinant was correct byfinding the inverse and multiplying by the original matrix to check the solution.”Process conception of determinant:“The student knows different methods to use to calculate a determinant and can,in some cases,look at a matrix and determine its value without calculations.”Object conception:“At the object level,students see the determinant as a tool for understanding and describing matrices.They understand the implications of the value of the determinant of a matrix as a way to describe a matrix.They can use the determinant of a matrix(equal to or not equal to zero)to describe properties of the elements of a matrix.”Triad development of a schema(intra,inter,trans):“A singular concept–basis.There is a basis for a space.The student can describe a basis without calculation.The student canfind different types of bases(column space,row space,null space,eigenspace)and use these values to describe matrices.”The descriptions of components of APOS along with examples illustrate that this student was able to make valid connections between the theoretical framework and the content of linear algebra.While the2094W.Martin et al./Linear Algebra and its Applications432(2010)2089–2099descriptions may not match those that would be given by scholars using APOS as a research framework, the student does demonstrate a recognition of and ability to provide examples of how understanding of linear algebra can be organized conceptually as more that a collection of facts.As would be expected,not all participants showed gains in either domain.We viewed the results of this study as a proof of concept,since there were some participants who clearly gained from the experience.We also recognized that there were problems associated with the implementation of our plan.To summarize ourfindings in relation to the research questions:•Do participants make connections between linear algebra content and learning theories?Yes,to widely varying degrees and levels of sophistication.•Do participants reflect upon their own learning in terms of studied learning theories?Yes,to the extent possible from their conception of the learning theories and understanding of linear algebra.•Do participants connect their study of linear algebra and learning theories to the mathematics content or pedagogy for their mathematics teaching?Participants describe how their experiences will shape their own teaching,but we did not visit their classes.Of the11students at one site who took the parallel courses,we identified three in our case studies (a detailed report of that study is presently under review)who demonstrated a significant ability to connect learning theories with their own learning of linear algebra.At another site,three teachers pursuing math education graduate studies were able to varying degrees to make these connections –two demonstrated strong ability to relate content to APOS and described important ways that the experience had affected their own thoughts about teaching mathematics.Participants in the workshop produced richer concept maps of linear algebra topics by the end of the weekend.Still,there were participants who showed little ability to connect material from linear algebra and APOS.A common misunderstanding of the APOS framework was that increasing levels cor-responded to increasing difficulty or complexity.For example,a student might suggest that computing the determinant of a2×2matrix was at the action level,while computation of a determinant in the 4×4case was at the object level because of the increased complexity of the computations.(Contrast this with the previously mentioned student who observed that the object conception was necessary to recognize that higher dimension determinants are computed recursively from lower dimension determinants.)We faced more significant problems than the extent to which students developed an understanding of the ideas that were presented.We found it very difficult to get students–especially undergraduates –to agree to take an additional course while studying linear algebra.Most of the participants in our pilot projects were either mathematics teachers or prospective mathematics teachers.Other students simply do not have the time in their schedules to pursue an elective seminar not directly related to their own area of interest.This problem led us to a new project in which we plan to integrate the material on learning theory–perhaps implicitly for the students–in the linear algebra course.Our focus will be on working with faculty teaching the course to ensure that they understand the theory and are able to help ensure that course activities reflect these ideas about learning.4.Continuing researchOur current Linear Algebra in New Environments(LINE)project focuses on having faculty work collaboratively to develop a series of modules that use applications to help students develop conceptual understanding of key linear algebra concepts.The project has three organizing concepts:•Promote enhanced learning of linear algebra through integrated study of mathematical content, applications,and the learning process.•Increase faculty understanding and application of mathematical learning theories in teaching linear algebra.•Promote and support improved instruction through co-teaching and collaboration among faculty with expertise in a variety of areas,such as education and STEM disciplines.W.Martin et al./Linear Algebra and its Applications432(2010)2089–20992095 For example,computer and video graphics involve linear transformations.Students will complete a series of activities that use manipulation of graphical images to illustrate and help them move from action and process conceptions of linear transformations to object conceptions and the development of a linear transformation schema.Some of these ideas were inspired by material in Judith Cederberg’s geometry text[14]and some software developed by David Meel,both using matrix representations of geometric linear transformations.The modules will have these characteristics:•Embed learning theory in linear algebra course for both the instructor and the students.•Use applied modules to illustrate the organization of linear algebra concepts.•Applications draw on student intuitions to aid their mental constructions and organization of knowledge.•Consciously include meta-cognition in the course.To illustrate,we sketch the outline of a possible series of activities in a module on geometric linear transformations.The faculty team–including individuals with expertise in mathematics,education, and computer science–will develop a series of modules to engage students in activities that include reflection and meta cognition about their learning of linear algebra.(The Appendix contains a more detailed description of a module that includes these activities.)Task1:Use Photoshop or GIMP to manipulate images(rotate,scale,flip,shear tools).Describe and reflect on processes.This activity uses an ACTION conception of transformation.Task2:Devise rules to map one vector to another.Describe and reflect on process.This activity involves both ACTION and PROCESS conceptions.Task3:Use a matrix representation to map vectors.This requires both PROCESS and OBJECT conceptions.Task4:Compare transform of sum with sum of transforms for matrices in Task3as compared to other non-linear functions.This involves ACTION,PROCESS,and OBJECT conceptions.Task5:Compare pre-image and transformed image of rectangles in the plane–identify software tool that was used(from Task1)and how it might be represented in matrix form.This requires OBJECT and SCHEMA conceptions.Education,mathematics and computer science faculty participating in this project will work prior to the semester to gain familiarity with the APOS framework and to identify and sketch potential modules for the linear algebra course.During the semester,collaborative teams of faculty continue to develop and refine modules that reflect important concepts,interesting applications,and learning theory:Modules will present activities that help students develop important concepts rather than simply presenting important concepts for students to absorb.The researchers will study the impact of project activities on student learning:We expect that students will be able to describe their knowledge of linear algebra in a more conceptual(structured) way during and after the course.We also will study the impact of the project on faculty thinking about teaching and learning:As a result of this work,we expect that faculty will be able to describe both the important concepts of linear algebra and how those concepts are mentally developed and organized by students.Finally,we will study the impact on instructional practice:Participating faculty should continue to use instructional practices that focus both on important content and how students develop their understanding of that content.5.SummaryOur preliminary study demonstrated that prospective and practicing mathematics teachers were able to make connections between their concurrent study of linear algebra and of learning theories relating to mathematics education,specifically the APOS theoretical framework.In cases where the participants developed understanding in both domains,it was apparent that this connected learning strengthened understanding in both areas.Unfortunately,we were unable to encourage undergraduate students to consider studying both linear algebra and learning theory in separate,parallel courses. Consequently,we developed a new strategy that embeds the learning theory in the linear algebra。
高等教育自学考试自考《英语二》模拟试题及答案指导一、阅读判断(共10分)First Question: Reading Comprehension and JudgementRead the following passage carefully and then decide whether the statements that follow are true or false. Mark your answers as “True (T)” or “False (F)”.Passage:In today’s globalized world, learning a second language has become more important than ever. Not only does it enhance personal development but it also opens up numerous career opportunities. Many experts agree that the best way to learn a new language is through immersion—living in a country where the language is spoken and using it daily. However, not everyone has this luxury. For those who cannot immerse themselves fully in another culture, there are other effective methods such as watching movies in the target language, practicing with native speakers online, or attending language classes at local community centers. Regardless of the method chosen, consistency and practice are key to mastering any language.Questions:1、Learning a second language is consi dered less important in today’s world. Answer: False (F)2、According to the passage, immersion is the most effective way to learna new language.Answer: True (T)3、The passage suggests that living in a foreign country is the only way to learn a new language.Answer: False (F)4、Watching movies in the target language is mentioned as an alternative method to full immersion.Answer: True (T)5、Consistency and practice are crucial for mastering a new language. Answer: True (T)This is a sample set of questions based on the given passage. Please note that actual examination questions would be more varied and challenging. Second Question: Reading Comprehension and JudgmentPassage:In the heart of the city stands an old library, known for its vast collection of rare books and historical manuscripts. Established in the early 19th century, it has been a beacon of learning and culture for generations. The library not only serves as a repository of knowledge but also hosts regular workshops and seminars to encourage literacy and academic research among the young and old. In recent years, due to the increasing use of digital media, the library has adapted by incorporating e-books and online databases into its resources. Despite these changes, the essence of the library remains the same—a place wherepeople can come together to learn, share ideas, and grow intellectually.Questions:1、The old library is primarily known for its modern architecture. Answer: False2、The library was established in the late 20th century.Answer: False3、The library offers workshops and seminars to promote literacy. Answer: True4、Recently, the library has begun to offer digital resources. Answer: True5、The library’s purpose has changed significantly with the introduction of e-books.Answer: False二、阅读理解(共10分)Title: The Digital Age and Its Impact on EducationIn the digital age, education has undergone significant transformations, reshaping the way we learn and access knowledge. With the widespread adoption of the internet, smartphones, and tablets, learning has become more accessible, interactive, and personalized than ever before. This revolution in education, often referred to as e-learning or online education, has opened doors to countless opportunities for learners worldwide.One of the most notable changes is the rise of massive open online courses (MOOCs). These platforms offer a wide range of courses, from introductory subjects to advanced specialties, for free or at a minimal cost. Students can enroll in courses from top universities around the globe, engaging with world-class professors and peers from diverse backgrounds. The flexibility of these courses allows learners to study at their own pace, fitting education into their busy schedules.Moreover, digital tools have enhanced the learning experience by providing interactive resources, such as simulations, videos, and virtual labs. These multimedia elements make abstract concepts more tangible, helping students grasp complex ideas more easily. Additionally, educational apps and software facilitate personalized learning, tailoring content and pace to each student’s needs and abilities.However, the digital age also poses challenges for education. The abundance of information online can be overwhelming, and the authenticity of sources needs to be carefully verified. Moreover, not everyone has access to the technology or the internet, creating a digital divide that exacerbates existing educational inequalities.Despite these challenges, the digital age has undeniably revolutionized education, making it more inclusive, accessible, and engaging. As we continue to navigate this digital landscape, it is crucial to harness its potential while addressing the challenges it presents, ensuring that everyone has theopportunity to benefit from this new era of learning.Questions:1.What is the main topic of the passage?A) The history of online education.B) The benefits and challenges of the digital age in education.C) The evolution of traditional classrooms.D) The role of technology in the workplace.Answer: B2.What are MOOCs?A) A type of online course offered by universities at no cost.B) A software program for creating educational videos.C) A method of assessing students’ understanding through tests.D) A tool for tracking students’ progress in traditional classrooms.Answer: A3.How do digital tools enhance the learning experience?A) By making education less accessible to students.B) By providing interactive resources like simulations and videos.C) By reducing the number of courses available online.D) By creating more opportunities for face-to-face interaction.Answer: B4.What is one challenge of the digital age in education?A) The lack of technology available to students.B) The ease of verifying the authenticity of online sources.C) The abundance of information available online.D) The inability to tailor content to individual students’ needs.Answer: C5.What is the author’s overall attitude towards the digital age in education?A) Negative, as it has created more problems than solutions.B) Neutral, as it has both advantages and disadvantages.C) Positive, as it has revolutionized education for the better.D) Undecided, as the impact is still unclear.Answer: C三、概况段落大意和补全句子(共10分)第一题Passage:The following passage is about the benefits and challenges of online learning. Please read the passage carefully and answer the questions below.Online learning has become increasingly popular in recent years, especially with the advancements in technology. It offers numerous benefits, such as flexibility, convenience, and cost-effectiveness. However, it also presents several challenges, including lack of face-to-face interaction, time management issues, and potential for distraction. Despite these challenges, many students have successfully completed their courses online and achieved academic success.Questions:1、What are some of the benefits of online learning?2、What challenges do students face when taking online courses?3、According to the passage, how have many students responded to the challenges of online learning?4、What is the author’s opinion about online learning?5、Choose the sentence that best summarizes the main idea of the passage.Answers:1、Flexibility, convenience, and cost-effectiveness.2、Lack of face-to-face interaction, time management issues, and potential for distraction.3、Many students have successfully completed their courses online and achieved academic success.4、The author believes that online learning offers numerous benefits but also presents several challenges.5.”Online learning has become increasingly popular due to its benefits, such as flexibility and convenience, but it also comes with challenges like lack of face-to-face interaction and time management issues.”第二题Passage:The history of the Great Wall of China is a testament to the ingenuity and perseverance of ancient Chinese engineers. Constructed over several centuries,the Great Wall was originally built to protect the Chinese Empire from invasions by nomadic tribes from the north. As time passed, the Wall became a symbol of China’s strength and unity. Its construction involved the labor of millions of workers, including soldiers, convicts, and civilians. The Wall stretches over 13,000 miles and is made primarily of stone, brick, wood, and earth, depending on the region. Despite its age, the Great Wall remains a marvel of human achievement and continues to attract tourists from around the world.1、The Great Wall of China was primarily built to __________.a) connect different provincesb) protect the Chinese Empire from northern invasionsc) serve as a road for traded) enhance the beauty of the Chinese landscape2、The construction of the Great Wall spanned over __________.a) a few decadesb) a few centuriesc) a few yearsd) a few months3、The Great Wall is a symbol of __________.a) Chinese agricultureb) Chinese strength and unityc) Chinese religiond) Chinese politics4、The Great Wall was built using various materials such as __________.a) only stone and brickb) only wood and earthc) stone, brick, wood, and earthd) only metal and glass5、Today, the Great Wall attracts __________.a) only local touristsb) a few tourists each yearc) millions of tourists from around the worldd) no tourists at allAnswers:1、b) protect the Chinese Empire from northern invasions2、b) a few centuries3、b) Chinese strength and unity4、c) stone, brick, wood, and earth5、c) millions of tourists from around the world四、填空补文(共10分)Section 4: Fill in the BlanksRead the following passage and choose the best word or phrase to complete each blank.Passage:In the modern world, the importance of learning a second language cannot be overstated. The ability to communicate in multiple languages has become a crucial skill for personal and professional development. One such language that has gained immense popularity is English. The demand for English proficiency is evident in various sectors, such as business, technology, and entertainment. To meet this demand, many individuals opt for self-study programs to improve their English skills. One of the most popular self-study programs is the Self-Taught Higher Education Self-Exam (Zhíxíng Zhíshì Gàokǎo, 简称自考) for English Level Two (Yīngyǔ Èr, 简称英语二).1.The ability to communicate in multiple languages has become a crucial skillfor_____________________and professional development.A. personalB. personalizationC. personallyD. personalizes2.The demand for English proficiency is evident in various sectors, such as______________ _______.A. businessB. businessesC. the businessD. businesses’3.One such language that has gained immense popularity is______________ _______.A. EnglishB. EnglishesC. EnglishsD. Englished4.To meet this demand, many individuals optfor_____________________programs to improve their English skills.A. self-studyB. self-studyingC. self-studiedD. self-studyingly5.The most popular self-study program is the Self-Taught Higher Education Self-Exam for English Level Two, also known as______________ _______.A. English Level TwoB. Yīngyǔ ÈrC. Zhíxíng Zhíshì GàokǎoD. Self-Taught Higher Education Self-ExamAnswers:1.A2.A3.A4.A5.B五、填词补文(共15分)First QuestionPlease read the following passage and choose the best word or phrase to complete each sentence. There is only one correct answer for each question.Passage:The world of technology has seen tremendous growth over the past few decades. With advancements in computing power and connectivity, the Internet has become an integral part of our daily lives, facilitating communication, commerce, education, and entertainment. From smartphones that keep us connected on the go, to software that makes our work more efficient, technology has transformed how we interact with the world around us.1、The rapid development in technology over the last few decades has been ________.A)astoundingB)decliningC)stagnantD)puzzlingAnswer: A) astounding2、With the increase in computing power and connectivity, the Internet has become ________.A)less relevantB)optionalC)essentialD)obsoleteAnswer: C) essential3、Smartphones allow us to stay connected while we are ________.A)stationaryB)disconnectedC)at homeD)on the moveAnswer: D) on the move4、Technology has________how we communicate and conduct business.A)hinderedB)complicatedC)transformedD)isolatedAnswer: C) transformed5、Software applications have made our work ________.A)less productiveB)more cumbersomeC)more efficientD)outdatedAnswer: C) more efficientThis completes the “First Question” section of the cloze test designed for the Higher Education Self-Study Examination’s English Course B. Eachquestion requires choosing the most appropriate word or phrase to fit into the context of the paragraph provided.第二题阅读下面的短文,并从每个空格后的四个选项中选择最佳答案填入空白处。
机器学习与人工智能领域中常用的英语词汇1.General Concepts (基础概念)•Artificial Intelligence (AI) - 人工智能1)Artificial Intelligence (AI) - 人工智能2)Machine Learning (ML) - 机器学习3)Deep Learning (DL) - 深度学习4)Neural Network - 神经网络5)Natural Language Processing (NLP) - 自然语言处理6)Computer Vision - 计算机视觉7)Robotics - 机器人技术8)Speech Recognition - 语音识别9)Expert Systems - 专家系统10)Knowledge Representation - 知识表示11)Pattern Recognition - 模式识别12)Cognitive Computing - 认知计算13)Autonomous Systems - 自主系统14)Human-Machine Interaction - 人机交互15)Intelligent Agents - 智能代理16)Machine Translation - 机器翻译17)Swarm Intelligence - 群体智能18)Genetic Algorithms - 遗传算法19)Fuzzy Logic - 模糊逻辑20)Reinforcement Learning - 强化学习•Machine Learning (ML) - 机器学习1)Machine Learning (ML) - 机器学习2)Artificial Neural Network - 人工神经网络3)Deep Learning - 深度学习4)Supervised Learning - 有监督学习5)Unsupervised Learning - 无监督学习6)Reinforcement Learning - 强化学习7)Semi-Supervised Learning - 半监督学习8)Training Data - 训练数据9)Test Data - 测试数据10)Validation Data - 验证数据11)Feature - 特征12)Label - 标签13)Model - 模型14)Algorithm - 算法15)Regression - 回归16)Classification - 分类17)Clustering - 聚类18)Dimensionality Reduction - 降维19)Overfitting - 过拟合20)Underfitting - 欠拟合•Deep Learning (DL) - 深度学习1)Deep Learning - 深度学习2)Neural Network - 神经网络3)Artificial Neural Network (ANN) - 人工神经网络4)Convolutional Neural Network (CNN) - 卷积神经网络5)Recurrent Neural Network (RNN) - 循环神经网络6)Long Short-Term Memory (LSTM) - 长短期记忆网络7)Gated Recurrent Unit (GRU) - 门控循环单元8)Autoencoder - 自编码器9)Generative Adversarial Network (GAN) - 生成对抗网络10)Transfer Learning - 迁移学习11)Pre-trained Model - 预训练模型12)Fine-tuning - 微调13)Feature Extraction - 特征提取14)Activation Function - 激活函数15)Loss Function - 损失函数16)Gradient Descent - 梯度下降17)Backpropagation - 反向传播18)Epoch - 训练周期19)Batch Size - 批量大小20)Dropout - 丢弃法•Neural Network - 神经网络1)Neural Network - 神经网络2)Artificial Neural Network (ANN) - 人工神经网络3)Deep Neural Network (DNN) - 深度神经网络4)Convolutional Neural Network (CNN) - 卷积神经网络5)Recurrent Neural Network (RNN) - 循环神经网络6)Long Short-Term Memory (LSTM) - 长短期记忆网络7)Gated Recurrent Unit (GRU) - 门控循环单元8)Feedforward Neural Network - 前馈神经网络9)Multi-layer Perceptron (MLP) - 多层感知器10)Radial Basis Function Network (RBFN) - 径向基函数网络11)Hopfield Network - 霍普菲尔德网络12)Boltzmann Machine - 玻尔兹曼机13)Autoencoder - 自编码器14)Spiking Neural Network (SNN) - 脉冲神经网络15)Self-organizing Map (SOM) - 自组织映射16)Restricted Boltzmann Machine (RBM) - 受限玻尔兹曼机17)Hebbian Learning - 海比安学习18)Competitive Learning - 竞争学习19)Neuroevolutionary - 神经进化20)Neuron - 神经元•Algorithm - 算法1)Algorithm - 算法2)Supervised Learning Algorithm - 有监督学习算法3)Unsupervised Learning Algorithm - 无监督学习算法4)Reinforcement Learning Algorithm - 强化学习算法5)Classification Algorithm - 分类算法6)Regression Algorithm - 回归算法7)Clustering Algorithm - 聚类算法8)Dimensionality Reduction Algorithm - 降维算法9)Decision Tree Algorithm - 决策树算法10)Random Forest Algorithm - 随机森林算法11)Support Vector Machine (SVM) Algorithm - 支持向量机算法12)K-Nearest Neighbors (KNN) Algorithm - K近邻算法13)Naive Bayes Algorithm - 朴素贝叶斯算法14)Gradient Descent Algorithm - 梯度下降算法15)Genetic Algorithm - 遗传算法16)Neural Network Algorithm - 神经网络算法17)Deep Learning Algorithm - 深度学习算法18)Ensemble Learning Algorithm - 集成学习算法19)Reinforcement Learning Algorithm - 强化学习算法20)Metaheuristic Algorithm - 元启发式算法•Model - 模型1)Model - 模型2)Machine Learning Model - 机器学习模型3)Artificial Intelligence Model - 人工智能模型4)Predictive Model - 预测模型5)Classification Model - 分类模型6)Regression Model - 回归模型7)Generative Model - 生成模型8)Discriminative Model - 判别模型9)Probabilistic Model - 概率模型10)Statistical Model - 统计模型11)Neural Network Model - 神经网络模型12)Deep Learning Model - 深度学习模型13)Ensemble Model - 集成模型14)Reinforcement Learning Model - 强化学习模型15)Support Vector Machine (SVM) Model - 支持向量机模型16)Decision Tree Model - 决策树模型17)Random Forest Model - 随机森林模型18)Naive Bayes Model - 朴素贝叶斯模型19)Autoencoder Model - 自编码器模型20)Convolutional Neural Network (CNN) Model - 卷积神经网络模型•Dataset - 数据集1)Dataset - 数据集2)Training Dataset - 训练数据集3)Test Dataset - 测试数据集4)Validation Dataset - 验证数据集5)Balanced Dataset - 平衡数据集6)Imbalanced Dataset - 不平衡数据集7)Synthetic Dataset - 合成数据集8)Benchmark Dataset - 基准数据集9)Open Dataset - 开放数据集10)Labeled Dataset - 标记数据集11)Unlabeled Dataset - 未标记数据集12)Semi-Supervised Dataset - 半监督数据集13)Multiclass Dataset - 多分类数据集14)Feature Set - 特征集15)Data Augmentation - 数据增强16)Data Preprocessing - 数据预处理17)Missing Data - 缺失数据18)Outlier Detection - 异常值检测19)Data Imputation - 数据插补20)Metadata - 元数据•Training - 训练1)Training - 训练2)Training Data - 训练数据3)Training Phase - 训练阶段4)Training Set - 训练集5)Training Examples - 训练样本6)Training Instance - 训练实例7)Training Algorithm - 训练算法8)Training Model - 训练模型9)Training Process - 训练过程10)Training Loss - 训练损失11)Training Epoch - 训练周期12)Training Batch - 训练批次13)Online Training - 在线训练14)Offline Training - 离线训练15)Continuous Training - 连续训练16)Transfer Learning - 迁移学习17)Fine-Tuning - 微调18)Curriculum Learning - 课程学习19)Self-Supervised Learning - 自监督学习20)Active Learning - 主动学习•Testing - 测试1)Testing - 测试2)Test Data - 测试数据3)Test Set - 测试集4)Test Examples - 测试样本5)Test Instance - 测试实例6)Test Phase - 测试阶段7)Test Accuracy - 测试准确率8)Test Loss - 测试损失9)Test Error - 测试错误10)Test Metrics - 测试指标11)Test Suite - 测试套件12)Test Case - 测试用例13)Test Coverage - 测试覆盖率14)Cross-Validation - 交叉验证15)Holdout Validation - 留出验证16)K-Fold Cross-Validation - K折交叉验证17)Stratified Cross-Validation - 分层交叉验证18)Test Driven Development (TDD) - 测试驱动开发19)A/B Testing - A/B 测试20)Model Evaluation - 模型评估•Validation - 验证1)Validation - 验证2)Validation Data - 验证数据3)Validation Set - 验证集4)Validation Examples - 验证样本5)Validation Instance - 验证实例6)Validation Phase - 验证阶段7)Validation Accuracy - 验证准确率8)Validation Loss - 验证损失9)Validation Error - 验证错误10)Validation Metrics - 验证指标11)Cross-Validation - 交叉验证12)Holdout Validation - 留出验证13)K-Fold Cross-Validation - K折交叉验证14)Stratified Cross-Validation - 分层交叉验证15)Leave-One-Out Cross-Validation - 留一法交叉验证16)Validation Curve - 验证曲线17)Hyperparameter Validation - 超参数验证18)Model Validation - 模型验证19)Early Stopping - 提前停止20)Validation Strategy - 验证策略•Supervised Learning - 有监督学习1)Supervised Learning - 有监督学习2)Label - 标签3)Feature - 特征4)Target - 目标5)Training Labels - 训练标签6)Training Features - 训练特征7)Training Targets - 训练目标8)Training Examples - 训练样本9)Training Instance - 训练实例10)Regression - 回归11)Classification - 分类12)Predictor - 预测器13)Regression Model - 回归模型14)Classifier - 分类器15)Decision Tree - 决策树16)Support Vector Machine (SVM) - 支持向量机17)Neural Network - 神经网络18)Feature Engineering - 特征工程19)Model Evaluation - 模型评估20)Overfitting - 过拟合21)Underfitting - 欠拟合22)Bias-Variance Tradeoff - 偏差-方差权衡•Unsupervised Learning - 无监督学习1)Unsupervised Learning - 无监督学习2)Clustering - 聚类3)Dimensionality Reduction - 降维4)Anomaly Detection - 异常检测5)Association Rule Learning - 关联规则学习6)Feature Extraction - 特征提取7)Feature Selection - 特征选择8)K-Means - K均值9)Hierarchical Clustering - 层次聚类10)Density-Based Clustering - 基于密度的聚类11)Principal Component Analysis (PCA) - 主成分分析12)Independent Component Analysis (ICA) - 独立成分分析13)T-distributed Stochastic Neighbor Embedding (t-SNE) - t分布随机邻居嵌入14)Gaussian Mixture Model (GMM) - 高斯混合模型15)Self-Organizing Maps (SOM) - 自组织映射16)Autoencoder - 自动编码器17)Latent Variable - 潜变量18)Data Preprocessing - 数据预处理19)Outlier Detection - 异常值检测20)Clustering Algorithm - 聚类算法•Reinforcement Learning - 强化学习1)Reinforcement Learning - 强化学习2)Agent - 代理3)Environment - 环境4)State - 状态5)Action - 动作6)Reward - 奖励7)Policy - 策略8)Value Function - 值函数9)Q-Learning - Q学习10)Deep Q-Network (DQN) - 深度Q网络11)Policy Gradient - 策略梯度12)Actor-Critic - 演员-评论家13)Exploration - 探索14)Exploitation - 开发15)Temporal Difference (TD) - 时间差分16)Markov Decision Process (MDP) - 马尔可夫决策过程17)State-Action-Reward-State-Action (SARSA) - 状态-动作-奖励-状态-动作18)Policy Iteration - 策略迭代19)Value Iteration - 值迭代20)Monte Carlo Methods - 蒙特卡洛方法•Semi-Supervised Learning - 半监督学习1)Semi-Supervised Learning - 半监督学习2)Labeled Data - 有标签数据3)Unlabeled Data - 无标签数据4)Label Propagation - 标签传播5)Self-Training - 自训练6)Co-Training - 协同训练7)Transudative Learning - 传导学习8)Inductive Learning - 归纳学习9)Manifold Regularization - 流形正则化10)Graph-based Methods - 基于图的方法11)Cluster Assumption - 聚类假设12)Low-Density Separation - 低密度分离13)Semi-Supervised Support Vector Machines (S3VM) - 半监督支持向量机14)Expectation-Maximization (EM) - 期望最大化15)Co-EM - 协同期望最大化16)Entropy-Regularized EM - 熵正则化EM17)Mean Teacher - 平均教师18)Virtual Adversarial Training - 虚拟对抗训练19)Tri-training - 三重训练20)Mix Match - 混合匹配•Feature - 特征1)Feature - 特征2)Feature Engineering - 特征工程3)Feature Extraction - 特征提取4)Feature Selection - 特征选择5)Input Features - 输入特征6)Output Features - 输出特征7)Feature Vector - 特征向量8)Feature Space - 特征空间9)Feature Representation - 特征表示10)Feature Transformation - 特征转换11)Feature Importance - 特征重要性12)Feature Scaling - 特征缩放13)Feature Normalization - 特征归一化14)Feature Encoding - 特征编码15)Feature Fusion - 特征融合16)Feature Dimensionality Reduction - 特征维度减少17)Continuous Feature - 连续特征18)Categorical Feature - 分类特征19)Nominal Feature - 名义特征20)Ordinal Feature - 有序特征•Label - 标签1)Label - 标签2)Labeling - 标注3)Ground Truth - 地面真值4)Class Label - 类别标签5)Target Variable - 目标变量6)Labeling Scheme - 标注方案7)Multi-class Labeling - 多类别标注8)Binary Labeling - 二分类标注9)Label Noise - 标签噪声10)Labeling Error - 标注错误11)Label Propagation - 标签传播12)Unlabeled Data - 无标签数据13)Labeled Data - 有标签数据14)Semi-supervised Learning - 半监督学习15)Active Learning - 主动学习16)Weakly Supervised Learning - 弱监督学习17)Noisy Label Learning - 噪声标签学习18)Self-training - 自训练19)Crowdsourcing Labeling - 众包标注20)Label Smoothing - 标签平滑化•Prediction - 预测1)Prediction - 预测2)Forecasting - 预测3)Regression - 回归4)Classification - 分类5)Time Series Prediction - 时间序列预测6)Forecast Accuracy - 预测准确性7)Predictive Modeling - 预测建模8)Predictive Analytics - 预测分析9)Forecasting Method - 预测方法10)Predictive Performance - 预测性能11)Predictive Power - 预测能力12)Prediction Error - 预测误差13)Prediction Interval - 预测区间14)Prediction Model - 预测模型15)Predictive Uncertainty - 预测不确定性16)Forecast Horizon - 预测时间跨度17)Predictive Maintenance - 预测性维护18)Predictive Policing - 预测式警务19)Predictive Healthcare - 预测性医疗20)Predictive Maintenance - 预测性维护•Classification - 分类1)Classification - 分类2)Classifier - 分类器3)Class - 类别4)Classify - 对数据进行分类5)Class Label - 类别标签6)Binary Classification - 二元分类7)Multiclass Classification - 多类分类8)Class Probability - 类别概率9)Decision Boundary - 决策边界10)Decision Tree - 决策树11)Support Vector Machine (SVM) - 支持向量机12)K-Nearest Neighbors (KNN) - K最近邻算法13)Naive Bayes - 朴素贝叶斯14)Logistic Regression - 逻辑回归15)Random Forest - 随机森林16)Neural Network - 神经网络17)SoftMax Function - SoftMax函数18)One-vs-All (One-vs-Rest) - 一对多(一对剩余)19)Ensemble Learning - 集成学习20)Confusion Matrix - 混淆矩阵•Regression - 回归1)Regression Analysis - 回归分析2)Linear Regression - 线性回归3)Multiple Regression - 多元回归4)Polynomial Regression - 多项式回归5)Logistic Regression - 逻辑回归6)Ridge Regression - 岭回归7)Lasso Regression - Lasso回归8)Elastic Net Regression - 弹性网络回归9)Regression Coefficients - 回归系数10)Residuals - 残差11)Ordinary Least Squares (OLS) - 普通最小二乘法12)Ridge Regression Coefficient - 岭回归系数13)Lasso Regression Coefficient - Lasso回归系数14)Elastic Net Regression Coefficient - 弹性网络回归系数15)Regression Line - 回归线16)Prediction Error - 预测误差17)Regression Model - 回归模型18)Nonlinear Regression - 非线性回归19)Generalized Linear Models (GLM) - 广义线性模型20)Coefficient of Determination (R-squared) - 决定系数21)F-test - F检验22)Homoscedasticity - 同方差性23)Heteroscedasticity - 异方差性24)Autocorrelation - 自相关25)Multicollinearity - 多重共线性26)Outliers - 异常值27)Cross-validation - 交叉验证28)Feature Selection - 特征选择29)Feature Engineering - 特征工程30)Regularization - 正则化2.Neural Networks and Deep Learning (神经网络与深度学习)•Convolutional Neural Network (CNN) - 卷积神经网络1)Convolutional Neural Network (CNN) - 卷积神经网络2)Convolution Layer - 卷积层3)Feature Map - 特征图4)Convolution Operation - 卷积操作5)Stride - 步幅6)Padding - 填充7)Pooling Layer - 池化层8)Max Pooling - 最大池化9)Average Pooling - 平均池化10)Fully Connected Layer - 全连接层11)Activation Function - 激活函数12)Rectified Linear Unit (ReLU) - 线性修正单元13)Dropout - 随机失活14)Batch Normalization - 批量归一化15)Transfer Learning - 迁移学习16)Fine-Tuning - 微调17)Image Classification - 图像分类18)Object Detection - 物体检测19)Semantic Segmentation - 语义分割20)Instance Segmentation - 实例分割21)Generative Adversarial Network (GAN) - 生成对抗网络22)Image Generation - 图像生成23)Style Transfer - 风格迁移24)Convolutional Autoencoder - 卷积自编码器25)Recurrent Neural Network (RNN) - 循环神经网络•Recurrent Neural Network (RNN) - 循环神经网络1)Recurrent Neural Network (RNN) - 循环神经网络2)Long Short-Term Memory (LSTM) - 长短期记忆网络3)Gated Recurrent Unit (GRU) - 门控循环单元4)Sequence Modeling - 序列建模5)Time Series Prediction - 时间序列预测6)Natural Language Processing (NLP) - 自然语言处理7)Text Generation - 文本生成8)Sentiment Analysis - 情感分析9)Named Entity Recognition (NER) - 命名实体识别10)Part-of-Speech Tagging (POS Tagging) - 词性标注11)Sequence-to-Sequence (Seq2Seq) - 序列到序列12)Attention Mechanism - 注意力机制13)Encoder-Decoder Architecture - 编码器-解码器架构14)Bidirectional RNN - 双向循环神经网络15)Teacher Forcing - 强制教师法16)Backpropagation Through Time (BPTT) - 通过时间的反向传播17)Vanishing Gradient Problem - 梯度消失问题18)Exploding Gradient Problem - 梯度爆炸问题19)Language Modeling - 语言建模20)Speech Recognition - 语音识别•Long Short-Term Memory (LSTM) - 长短期记忆网络1)Long Short-Term Memory (LSTM) - 长短期记忆网络2)Cell State - 细胞状态3)Hidden State - 隐藏状态4)Forget Gate - 遗忘门5)Input Gate - 输入门6)Output Gate - 输出门7)Peephole Connections - 窥视孔连接8)Gated Recurrent Unit (GRU) - 门控循环单元9)Vanishing Gradient Problem - 梯度消失问题10)Exploding Gradient Problem - 梯度爆炸问题11)Sequence Modeling - 序列建模12)Time Series Prediction - 时间序列预测13)Natural Language Processing (NLP) - 自然语言处理14)Text Generation - 文本生成15)Sentiment Analysis - 情感分析16)Named Entity Recognition (NER) - 命名实体识别17)Part-of-Speech Tagging (POS Tagging) - 词性标注18)Attention Mechanism - 注意力机制19)Encoder-Decoder Architecture - 编码器-解码器架构20)Bidirectional LSTM - 双向长短期记忆网络•Attention Mechanism - 注意力机制1)Attention Mechanism - 注意力机制2)Self-Attention - 自注意力3)Multi-Head Attention - 多头注意力4)Transformer - 变换器5)Query - 查询6)Key - 键7)Value - 值8)Query-Value Attention - 查询-值注意力9)Dot-Product Attention - 点积注意力10)Scaled Dot-Product Attention - 缩放点积注意力11)Additive Attention - 加性注意力12)Context Vector - 上下文向量13)Attention Score - 注意力分数14)SoftMax Function - SoftMax函数15)Attention Weight - 注意力权重16)Global Attention - 全局注意力17)Local Attention - 局部注意力18)Positional Encoding - 位置编码19)Encoder-Decoder Attention - 编码器-解码器注意力20)Cross-Modal Attention - 跨模态注意力•Generative Adversarial Network (GAN) - 生成对抗网络1)Generative Adversarial Network (GAN) - 生成对抗网络2)Generator - 生成器3)Discriminator - 判别器4)Adversarial Training - 对抗训练5)Minimax Game - 极小极大博弈6)Nash Equilibrium - 纳什均衡7)Mode Collapse - 模式崩溃8)Training Stability - 训练稳定性9)Loss Function - 损失函数10)Discriminative Loss - 判别损失11)Generative Loss - 生成损失12)Wasserstein GAN (WGAN) - Wasserstein GAN(WGAN)13)Deep Convolutional GAN (DCGAN) - 深度卷积生成对抗网络(DCGAN)14)Conditional GAN (c GAN) - 条件生成对抗网络(c GAN)15)Style GAN - 风格生成对抗网络16)Cycle GAN - 循环生成对抗网络17)Progressive Growing GAN (PGGAN) - 渐进式增长生成对抗网络(PGGAN)18)Self-Attention GAN (SAGAN) - 自注意力生成对抗网络(SAGAN)19)Big GAN - 大规模生成对抗网络20)Adversarial Examples - 对抗样本•Encoder-Decoder - 编码器-解码器1)Encoder-Decoder Architecture - 编码器-解码器架构2)Encoder - 编码器3)Decoder - 解码器4)Sequence-to-Sequence Model (Seq2Seq) - 序列到序列模型5)State Vector - 状态向量6)Context Vector - 上下文向量7)Hidden State - 隐藏状态8)Attention Mechanism - 注意力机制9)Teacher Forcing - 强制教师法10)Beam Search - 束搜索11)Recurrent Neural Network (RNN) - 循环神经网络12)Long Short-Term Memory (LSTM) - 长短期记忆网络13)Gated Recurrent Unit (GRU) - 门控循环单元14)Bidirectional Encoder - 双向编码器15)Greedy Decoding - 贪婪解码16)Masking - 遮盖17)Dropout - 随机失活18)Embedding Layer - 嵌入层19)Cross-Entropy Loss - 交叉熵损失20)Tokenization - 令牌化•Transfer Learning - 迁移学习1)Transfer Learning - 迁移学习2)Source Domain - 源领域3)Target Domain - 目标领域4)Fine-Tuning - 微调5)Domain Adaptation - 领域自适应6)Pre-Trained Model - 预训练模型7)Feature Extraction - 特征提取8)Knowledge Transfer - 知识迁移9)Unsupervised Domain Adaptation - 无监督领域自适应10)Semi-Supervised Domain Adaptation - 半监督领域自适应11)Multi-Task Learning - 多任务学习12)Data Augmentation - 数据增强13)Task Transfer - 任务迁移14)Model Agnostic Meta-Learning (MAML) - 与模型无关的元学习(MAML)15)One-Shot Learning - 单样本学习16)Zero-Shot Learning - 零样本学习17)Few-Shot Learning - 少样本学习18)Knowledge Distillation - 知识蒸馏19)Representation Learning - 表征学习20)Adversarial Transfer Learning - 对抗迁移学习•Pre-trained Models - 预训练模型1)Pre-trained Model - 预训练模型2)Transfer Learning - 迁移学习3)Fine-Tuning - 微调4)Knowledge Transfer - 知识迁移5)Domain Adaptation - 领域自适应6)Feature Extraction - 特征提取7)Representation Learning - 表征学习8)Language Model - 语言模型9)Bidirectional Encoder Representations from Transformers (BERT) - 双向编码器结构转换器10)Generative Pre-trained Transformer (GPT) - 生成式预训练转换器11)Transformer-based Models - 基于转换器的模型12)Masked Language Model (MLM) - 掩蔽语言模型13)Cloze Task - 填空任务14)Tokenization - 令牌化15)Word Embeddings - 词嵌入16)Sentence Embeddings - 句子嵌入17)Contextual Embeddings - 上下文嵌入18)Self-Supervised Learning - 自监督学习19)Large-Scale Pre-trained Models - 大规模预训练模型•Loss Function - 损失函数1)Loss Function - 损失函数2)Mean Squared Error (MSE) - 均方误差3)Mean Absolute Error (MAE) - 平均绝对误差4)Cross-Entropy Loss - 交叉熵损失5)Binary Cross-Entropy Loss - 二元交叉熵损失6)Categorical Cross-Entropy Loss - 分类交叉熵损失7)Hinge Loss - 合页损失8)Huber Loss - Huber损失9)Wasserstein Distance - Wasserstein距离10)Triplet Loss - 三元组损失11)Contrastive Loss - 对比损失12)Dice Loss - Dice损失13)Focal Loss - 焦点损失14)GAN Loss - GAN损失15)Adversarial Loss - 对抗损失16)L1 Loss - L1损失17)L2 Loss - L2损失18)Huber Loss - Huber损失19)Quantile Loss - 分位数损失•Activation Function - 激活函数1)Activation Function - 激活函数2)Sigmoid Function - Sigmoid函数3)Hyperbolic Tangent Function (Tanh) - 双曲正切函数4)Rectified Linear Unit (Re LU) - 矩形线性单元5)Parametric Re LU (P Re LU) - 参数化Re LU6)Exponential Linear Unit (ELU) - 指数线性单元7)Swish Function - Swish函数8)Softplus Function - Soft plus函数9)Softmax Function - SoftMax函数10)Hard Tanh Function - 硬双曲正切函数11)Softsign Function - Softsign函数12)GELU (Gaussian Error Linear Unit) - GELU(高斯误差线性单元)13)Mish Function - Mish函数14)CELU (Continuous Exponential Linear Unit) - CELU(连续指数线性单元)15)Bent Identity Function - 弯曲恒等函数16)Gaussian Error Linear Units (GELUs) - 高斯误差线性单元17)Adaptive Piecewise Linear (APL) - 自适应分段线性函数18)Radial Basis Function (RBF) - 径向基函数•Backpropagation - 反向传播1)Backpropagation - 反向传播2)Gradient Descent - 梯度下降3)Partial Derivative - 偏导数4)Chain Rule - 链式法则5)Forward Pass - 前向传播6)Backward Pass - 反向传播7)Computational Graph - 计算图8)Neural Network - 神经网络9)Loss Function - 损失函数10)Gradient Calculation - 梯度计算11)Weight Update - 权重更新12)Activation Function - 激活函数13)Optimizer - 优化器14)Learning Rate - 学习率15)Mini-Batch Gradient Descent - 小批量梯度下降16)Stochastic Gradient Descent (SGD) - 随机梯度下降17)Batch Gradient Descent - 批量梯度下降18)Momentum - 动量19)Adam Optimizer - Adam优化器20)Learning Rate Decay - 学习率衰减•Gradient Descent - 梯度下降1)Gradient Descent - 梯度下降2)Stochastic Gradient Descent (SGD) - 随机梯度下降3)Mini-Batch Gradient Descent - 小批量梯度下降4)Batch Gradient Descent - 批量梯度下降5)Learning Rate - 学习率6)Momentum - 动量7)Adaptive Moment Estimation (Adam) - 自适应矩估计8)RMSprop - 均方根传播9)Learning Rate Schedule - 学习率调度10)Convergence - 收敛11)Divergence - 发散12)Adagrad - 自适应学习速率方法13)Adadelta - 自适应增量学习率方法14)Adamax - 自适应矩估计的扩展版本15)Nadam - Nesterov Accelerated Adaptive Moment Estimation16)Learning Rate Decay - 学习率衰减17)Step Size - 步长18)Conjugate Gradient Descent - 共轭梯度下降19)Line Search - 线搜索20)Newton's Method - 牛顿法•Learning Rate - 学习率1)Learning Rate - 学习率2)Adaptive Learning Rate - 自适应学习率3)Learning Rate Decay - 学习率衰减4)Initial Learning Rate - 初始学习率5)Step Size - 步长6)Momentum - 动量7)Exponential Decay - 指数衰减8)Annealing - 退火9)Cyclical Learning Rate - 循环学习率10)Learning Rate Schedule - 学习率调度11)Warm-up - 预热12)Learning Rate Policy - 学习率策略13)Learning Rate Annealing - 学习率退火14)Cosine Annealing - 余弦退火15)Gradient Clipping - 梯度裁剪16)Adapting Learning Rate - 适应学习率17)Learning Rate Multiplier - 学习率倍增器18)Learning Rate Reduction - 学习率降低19)Learning Rate Update - 学习率更新20)Scheduled Learning Rate - 定期学习率•Batch Size - 批量大小1)Batch Size - 批量大小2)Mini-Batch - 小批量3)Batch Gradient Descent - 批量梯度下降4)Stochastic Gradient Descent (SGD) - 随机梯度下降5)Mini-Batch Gradient Descent - 小批量梯度下降6)Online Learning - 在线学习7)Full-Batch - 全批量8)Data Batch - 数据批次9)Training Batch - 训练批次10)Batch Normalization - 批量归一化11)Batch-wise Optimization - 批量优化12)Batch Processing - 批量处理13)Batch Sampling - 批量采样14)Adaptive Batch Size - 自适应批量大小15)Batch Splitting - 批量分割16)Dynamic Batch Size - 动态批量大小17)Fixed Batch Size - 固定批量大小18)Batch-wise Inference - 批量推理19)Batch-wise Training - 批量训练20)Batch Shuffling - 批量洗牌•Epoch - 训练周期1)Training Epoch - 训练周期2)Epoch Size - 周期大小3)Early Stopping - 提前停止4)Validation Set - 验证集5)Training Set - 训练集6)Test Set - 测试集7)Overfitting - 过拟合8)Underfitting - 欠拟合9)Model Evaluation - 模型评估10)Model Selection - 模型选择11)Hyperparameter Tuning - 超参数调优12)Cross-Validation - 交叉验证13)K-fold Cross-Validation - K折交叉验证14)Stratified Cross-Validation - 分层交叉验证15)Leave-One-Out Cross-Validation (LOOCV) - 留一法交叉验证16)Grid Search - 网格搜索17)Random Search - 随机搜索18)Model Complexity - 模型复杂度19)Learning Curve - 学习曲线20)Convergence - 收敛3.Machine Learning Techniques and Algorithms (机器学习技术与算法)•Decision Tree - 决策树1)Decision Tree - 决策树2)Node - 节点3)Root Node - 根节点4)Leaf Node - 叶节点5)Internal Node - 内部节点6)Splitting Criterion - 分裂准则7)Gini Impurity - 基尼不纯度8)Entropy - 熵9)Information Gain - 信息增益10)Gain Ratio - 增益率11)Pruning - 剪枝12)Recursive Partitioning - 递归分割13)CART (Classification and Regression Trees) - 分类回归树14)ID3 (Iterative Dichotomiser 3) - 迭代二叉树315)C4.5 (successor of ID3) - C4.5(ID3的后继者)16)C5.0 (successor of C4.5) - C5.0(C4.5的后继者)17)Split Point - 分裂点18)Decision Boundary - 决策边界19)Pruned Tree - 剪枝后的树20)Decision Tree Ensemble - 决策树集成•Random Forest - 随机森林1)Random Forest - 随机森林2)Ensemble Learning - 集成学习3)Bootstrap Sampling - 自助采样4)Bagging (Bootstrap Aggregating) - 装袋法5)Out-of-Bag (OOB) Error - 袋外误差6)Feature Subset - 特征子集7)Decision Tree - 决策树8)Base Estimator - 基础估计器9)Tree Depth - 树深度10)Randomization - 随机化11)Majority Voting - 多数投票12)Feature Importance - 特征重要性13)OOB Score - 袋外得分14)Forest Size - 森林大小15)Max Features - 最大特征数16)Min Samples Split - 最小分裂样本数17)Min Samples Leaf - 最小叶节点样本数18)Gini Impurity - 基尼不纯度19)Entropy - 熵20)Variable Importance - 变量重要性•Support Vector Machine (SVM) - 支持向量机1)Support Vector Machine (SVM) - 支持向量机2)Hyperplane - 超平面3)Kernel Trick - 核技巧4)Kernel Function - 核函数5)Margin - 间隔6)Support Vectors - 支持向量7)Decision Boundary - 决策边界8)Maximum Margin Classifier - 最大间隔分类器9)Soft Margin Classifier - 软间隔分类器10) C Parameter - C参数11)Radial Basis Function (RBF) Kernel - 径向基函数核12)Polynomial Kernel - 多项式核13)Linear Kernel - 线性核14)Quadratic Kernel - 二次核15)Gaussian Kernel - 高斯核16)Regularization - 正则化17)Dual Problem - 对偶问题18)Primal Problem - 原始问题19)Kernelized SVM - 核化支持向量机20)Multiclass SVM - 多类支持向量机•K-Nearest Neighbors (KNN) - K-最近邻1)K-Nearest Neighbors (KNN) - K-最近邻2)Nearest Neighbor - 最近邻3)Distance Metric - 距离度量4)Euclidean Distance - 欧氏距离5)Manhattan Distance - 曼哈顿距离6)Minkowski Distance - 闵可夫斯基距离7)Cosine Similarity - 余弦相似度8)K Value - K值9)Majority Voting - 多数投票10)Weighted KNN - 加权KNN11)Radius Neighbors - 半径邻居12)Ball Tree - 球树13)KD Tree - KD树14)Locality-Sensitive Hashing (LSH) - 局部敏感哈希15)Curse of Dimensionality - 维度灾难16)Class Label - 类标签17)Training Set - 训练集18)Test Set - 测试集19)Validation Set - 验证集20)Cross-Validation - 交叉验证•Naive Bayes - 朴素贝叶斯1)Naive Bayes - 朴素贝叶斯2)Bayes' Theorem - 贝叶斯定理3)Prior Probability - 先验概率4)Posterior Probability - 后验概率5)Likelihood - 似然6)Class Conditional Probability - 类条件概率7)Feature Independence Assumption - 特征独立假设8)Multinomial Naive Bayes - 多项式朴素贝叶斯9)Gaussian Naive Bayes - 高斯朴素贝叶斯10)Bernoulli Naive Bayes - 伯努利朴素贝叶斯11)Laplace Smoothing - 拉普拉斯平滑12)Add-One Smoothing - 加一平滑13)Maximum A Posteriori (MAP) - 最大后验概率14)Maximum Likelihood Estimation (MLE) - 最大似然估计15)Classification - 分类16)Feature Vectors - 特征向量17)Training Set - 训练集18)Test Set - 测试集19)Class Label - 类标签20)Confusion Matrix - 混淆矩阵•Clustering - 聚类1)Clustering - 聚类2)Centroid - 质心3)Cluster Analysis - 聚类分析4)Partitioning Clustering - 划分式聚类5)Hierarchical Clustering - 层次聚类6)Density-Based Clustering - 基于密度的聚类7)K-Means Clustering - K均值聚类8)K-Medoids Clustering - K中心点聚类9)DBSCAN (Density-Based Spatial Clustering of Applications with Noise) - 基于密度的空间聚类算法10)Agglomerative Clustering - 聚合式聚类11)Dendrogram - 系统树图12)Silhouette Score - 轮廓系数13)Elbow Method - 肘部法则14)Clustering Validation - 聚类验证15)Intra-cluster Distance - 类内距离16)Inter-cluster Distance - 类间距离17)Cluster Cohesion - 类内连贯性18)Cluster Separation - 类间分离度19)Cluster Assignment - 聚类分配20)Cluster Label - 聚类标签•K-Means - K-均值1)K-Means - K-均值2)Centroid - 质心3)Cluster - 聚类4)Cluster Center - 聚类中心5)Cluster Assignment - 聚类分配6)Cluster Analysis - 聚类分析7)K Value - K值8)Elbow Method - 肘部法则9)Inertia - 惯性10)Silhouette Score - 轮廓系数11)Convergence - 收敛12)Initialization - 初始化13)Euclidean Distance - 欧氏距离14)Manhattan Distance - 曼哈顿距离15)Distance Metric - 距离度量16)Cluster Radius - 聚类半径17)Within-Cluster Variation - 类内变异18)Cluster Quality - 聚类质量19)Clustering Algorithm - 聚类算法20)Clustering Validation - 聚类验证•Dimensionality Reduction - 降维1)Dimensionality Reduction - 降维2)Feature Extraction - 特征提取3)Feature Selection - 特征选择4)Principal Component Analysis (PCA) - 主成分分析5)Singular Value Decomposition (SVD) - 奇异值分解6)Linear Discriminant Analysis (LDA) - 线性判别分析7)t-Distributed Stochastic Neighbor Embedding (t-SNE) - t-分布随机邻域嵌入8)Autoencoder - 自编码器9)Manifold Learning - 流形学习10)Locally Linear Embedding (LLE) - 局部线性嵌入11)Isomap - 等度量映射12)Uniform Manifold Approximation and Projection (UMAP) - 均匀流形逼近与投影13)Kernel PCA - 核主成分分析14)Non-negative Matrix Factorization (NMF) - 非负矩阵分解15)Independent Component Analysis (ICA) - 独立成分分析16)Variational Autoencoder (VAE) - 变分自编码器17)Sparse Coding - 稀疏编码18)Random Projection - 随机投影19)Neighborhood Preserving Embedding (NPE) - 保持邻域结构的嵌入20)Curvilinear Component Analysis (CCA) - 曲线成分分析•Principal Component Analysis (PCA) - 主成分分析1)Principal Component Analysis (PCA) - 主成分分析2)Eigenvector - 特征向量3)Eigenvalue - 特征值4)Covariance Matrix - 协方差矩阵。
第45卷 第5期 包 装 工 程2024年3月PACKAGING ENGINEERING ·263·收稿日期:2023-09-28基金项目:国家自然科学基金(72371044,71871035);重庆市教委科学技术研究重大项目(KJZD-M202300704);重庆市基于时间窗和多仓温控的生鲜商品配送车辆路径优化问题王勇,王静媛,苟梦圆,罗思妤(重庆交通大学,重庆 400074)摘要:目的 针对当前生鲜商品配送效率低和成本高等问题,采用车仓温度可控的多仓车辆作为配送装备,并结合时间窗等约束,研究基于时间窗和多仓温控的生鲜商品配送车辆路径优化问题。
方法 建立最小化物流运营成本和车辆使用数量的双目标模型,然后设计基于Clarke-Wright 节约算法的非支配排序遗传算法(CW-NSGA-Ⅱ)求解该模型。
利用CW 节约算法生成初始配送路径,以提高初始解的质量,并设计精英迭代策略,以提高算法的寻优性能。
结果 基于改进的Solomon 算例,将文中所提算法与多目标粒子群算法、多目标蚁群算法、多目标遗传算法进行了对比,验证了CW-NSGA-Ⅱ算法的求解性能。
结合实例,对多仓车辆使用数量、温控成本和运营成本等指标进行对比分析,结果表明,经优化后多仓车辆使用数量减少了35.7%,温控成本减少了39.2%,物流运营总成本减少了47.7%。
结论 文中所提模型和算法能够有效优化配送路径,降低运营成本,为构建高效率、低成本的生鲜配送网络提供了理论支持和决策参考。
关键词:生鲜商品配送;多仓温控;时间窗;CW-NSGA-Ⅱ中图分类号:F570;TB485.3 文献标志码:A 文章编号:1001-3563(2024)05-0263-13 DOI :10.19554/ki.1001-3563.2024.05.032Fresh Commodity Distribution Vehicle Routing Optimization Based on TimeWindows and Multi-compartment Temperature ControlWANG Yong , WANG Jingyuan , GOU Mengyuan , LUO Siyu(Chongqing Jiaotong University, Chongqing 400074, China)ABSTRACT: Aiming at the inefficient and high-cost fresh commodity distribution, the work aims to study the fresh commodity distribution route optimization based on time windows and multi-compartment temperature control by adopting multi-compartment vehicles with temperature controlled compartments as distribution equipment and applying time windows and other constraints. Firstly, the bi-objective model was established to minimize logistics operating cost and the number of vehicles. Then, the non-dominated sorting genetic algorithm based on the Clarke-Wright saving algorithm (CW-NSGA-Ⅱ) was designed to solve the model. Among them, the initial population was generated by the Clarke-Wright saving algorithm, which improved the quality of the initial solution, and an elite iterative strategy was designed to improve the optimization performance. Based on the improved Solomon example, the proposed algorithm was compared with the multi-objective particle swarm algorithm, multi-target ant colony algorithm and multi-target genetic algorithm, verifying the solution performance of the CW-NSGA-Ⅱ. Combined with a casestudy, the indicators such as the number of multi-compartment vehicles, temperature control costs and operating costs·264·包装工程2024年3月were compared and analyzed. The results showed that the number of optimized multi-compartment vehicles was reduced by 35.7%, the temperature control cost was reduced by 39.2%, and the total operating cost was reduced by47.7%. The proposed model and algorithm can effectively optimize the distribution route, reduce the total operatingcost, and provide theoretical support and decision-making reference for the construction of the efficient and low-cost fresh distribution network.KEY WORDS: fresh commodity distribution; multi-compartment temperature control; time window; CW-NSGA-Ⅱ近年来,随着电子商务的发展和人民生活水平的提高,生鲜商品配送服务逐步向高品质、精细化、个性化方向发展,客户不再局限于单一的商品需求[1]。
常用英语词汇 -andrew Ng课程average firing rate均匀激活率intensity强度average sum-of-squares error均方差Regression回归backpropagation后向流传Loss function损失函数basis 基non-convex非凸函数basis feature vectors特点基向量neural network神经网络batch gradient ascent批量梯度上涨法supervised learning监察学习Bayesian regularization method贝叶斯规则化方法regression problem回归问题办理的是连续的问题Bernoulli random variable伯努利随机变量classification problem分类问题bias term偏置项discreet value失散值binary classfication二元分类support vector machines支持向量机class labels种类标记learning theory学习理论concatenation级联learning algorithms学习算法conjugate gradient共轭梯度unsupervised learning无监察学习contiguous groups联通地区gradient descent梯度降落convex optimization software凸优化软件linear regression线性回归convolution卷积Neural Network神经网络cost function代价函数gradient descent梯度降落covariance matrix协方差矩阵normal equations DC component直流重量linear algebra线性代数decorrelation去有关superscript上标degeneracy退化exponentiation指数demensionality reduction降维training set训练会合derivative导函数training example训练样本diagonal对角线hypothesis假定,用来表示学习算法的输出diffusion of gradients梯度的弥散LMS algorithm “least mean squares最小二乘法算eigenvalue特点值法eigenvector特点向量batch gradient descent批量梯度降落error term残差constantly gradient descent随机梯度降落feature matrix特点矩阵iterative algorithm迭代算法feature standardization特点标准化partial derivative偏导数feedforward architectures前馈构造算法contour等高线feedforward neural network前馈神经网络quadratic function二元函数feedforward pass前馈传导locally weighted regression局部加权回归fine-tuned微调underfitting欠拟合first-order feature一阶特点overfitting过拟合forward pass前向传导non-parametric learning algorithms无参数学习算forward propagation前向流传法Gaussian prior高斯先验概率parametric learning algorithm参数学习算法generative model生成模型activation激活值gradient descent梯度降落activation function激活函数Greedy layer-wise training逐层贪心训练方法additive noise加性噪声grouping matrix分组矩阵autoencoder自编码器Hadamard product阿达马乘积Autoencoders自编码算法Hessian matrix Hessian矩阵hidden layer隐含层hidden units隐蔽神经元Hierarchical grouping层次型分组higher-order features更高阶特点highly non-convex optimization problem高度非凸的优化问题histogram直方图hyperbolic tangent双曲正切函数hypothesis估值,假定identity activation function恒等激励函数IID 独立同散布illumination照明inactive克制independent component analysis独立成份剖析input domains输入域input layer输入层intensity亮度/灰度intercept term截距KL divergence相对熵KL divergence KL分别度k-Means K-均值learning rate学习速率least squares最小二乘法linear correspondence线性响应linear superposition线性叠加line-search algorithm线搜寻算法local mean subtraction局部均值消减local optima局部最优解logistic regression逻辑回归loss function损失函数low-pass filtering低通滤波magnitude幅值MAP 极大后验预计maximum likelihood estimation极大似然预计mean 均匀值MFCC Mel 倒频系数multi-class classification多元分类neural networks神经网络neuron 神经元Newton’s method牛顿法non-convex function非凸函数non-linear feature非线性特点norm 范式norm bounded有界范数norm constrained范数拘束normalization归一化numerical roundoff errors数值舍入偏差numerically checking数值查验numerically reliable数值计算上稳固object detection物体检测objective function目标函数off-by-one error缺位错误orthogonalization正交化output layer输出层overall cost function整体代价函数over-complete basis超齐备基over-fitting过拟合parts of objects目标的零件part-whole decompostion部分-整体分解PCA 主元剖析penalty term处罚因子per-example mean subtraction逐样本均值消减pooling池化pretrain预训练principal components analysis主成份剖析quadratic constraints二次拘束RBMs 受限 Boltzman 机reconstruction based models鉴于重构的模型reconstruction cost重修代价reconstruction term重构项redundant冗余reflection matrix反射矩阵regularization正则化regularization term正则化项rescaling缩放robust 鲁棒性run 行程second-order feature二阶特点sigmoid activation function S型激励函数significant digits有效数字singular value奇怪值singular vector奇怪向量smoothed L1 penalty光滑的L1 范数处罚Smoothed topographic L1 sparsity penalty光滑地形L1 稀少处罚函数smoothing光滑Softmax Regresson Softmax回归sorted in decreasing order降序摆列source features源特点Adversarial Networks抗衡网络sparse autoencoder消减归一化Affine Layer仿射层Sparsity稀少性Affinity matrix亲和矩阵sparsity parameter稀少性参数Agent 代理 /智能体sparsity penalty稀少处罚Algorithm 算法square function平方函数Alpha- beta pruningα - β剪枝squared-error方差Anomaly detection异样检测stationary安稳性(不变性)Approximation近似stationary stochastic process安稳随机过程Area Under ROC Curve/ AUC Roc 曲线下边积step-size步长值Artificial General Intelligence/AGI通用人工智supervised learning监察学习能symmetric positive semi-definite matrix Artificial Intelligence/AI人工智能对称半正定矩阵Association analysis关系剖析symmetry breaking对称无效Attention mechanism注意力体制tanh function双曲正切函数Attribute conditional independence assumptionthe average activation均匀活跃度属性条件独立性假定the derivative checking method梯度考证方法Attribute space属性空间the empirical distribution经验散布函数Attribute value属性值the energy function能量函数Autoencoder自编码器the Lagrange dual拉格朗日对偶函数Automatic speech recognition自动语音辨别the log likelihood对数似然函数Automatic summarization自动纲要the pixel intensity value像素灰度值Average gradient均匀梯度the rate of convergence收敛速度Average-Pooling均匀池化topographic cost term拓扑代价项Backpropagation Through Time经过时间的反向流传topographic ordered拓扑次序Backpropagation/BP反向流传transformation变换Base learner基学习器translation invariant平移不变性Base learning algorithm基学习算法trivial answer平庸解Batch Normalization/BN批量归一化under-complete basis不齐备基Bayes decision rule贝叶斯判断准则unrolling组合扩展Bayes Model Averaging/ BMA 贝叶斯模型均匀unsupervised learning无监察学习Bayes optimal classifier贝叶斯最优分类器variance 方差Bayesian decision theory贝叶斯决议论vecotrized implementation向量化实现Bayesian network贝叶斯网络vectorization矢量化Between-class scatter matrix类间散度矩阵visual cortex视觉皮层Bias 偏置 /偏差weight decay权重衰减Bias-variance decomposition偏差 - 方差分解weighted average加权均匀值Bias-Variance Dilemma偏差–方差窘境whitening白化Bi-directional Long-Short Term Memory/Bi-LSTMzero-mean均值为零双向长短期记忆Accumulated error backpropagation积累偏差逆传Binary classification二分类播Binomial test二项查验Activation Function激活函数Bi-partition二分法Adaptive Resonance Theory/ART自适应谐振理论Boltzmann machine玻尔兹曼机Addictive model加性学习Bootstrap sampling自助采样法/可重复采样Bootstrapping自助法Break-Event Point/ BEP 均衡点Calibration校准Cascade-Correlation级联有关Categorical attribute失散属性Class-conditional probability类条件概率Classification and regression tree/CART分类与回归树Classifier分类器Class-imbalance类型不均衡Closed -form闭式Cluster簇/ 类/ 集群Cluster analysis聚类剖析Clustering聚类Clustering ensemble聚类集成Co-adapting共适应Coding matrix编码矩阵COLT 国际学习理论会议Committee-based learning鉴于委员会的学习Competitive learning竞争型学习Component learner组件学习器Comprehensibility可解说性Computation Cost计算成本Computational Linguistics计算语言学Computer vision计算机视觉Concept drift观点漂移Concept Learning System /CLS观点学习系统Conditional entropy条件熵Conditional mutual information条件互信息Conditional Probability Table/ CPT 条件概率表Conditional random field/CRF条件随机场Conditional risk条件风险Confidence置信度Confusion matrix混杂矩阵Connection weight连结权Connectionism 连结主义Consistency一致性/相合性Contingency table列联表Continuous attribute连续属性Convergence收敛Conversational agent会话智能体Convex quadratic programming凸二次规划Convexity凸性Convolutional neural network/CNN卷积神经网络Co-occurrence同现Correlation coefficient有关系数Cosine similarity余弦相像度Cost curve成本曲线Cost Function成本函数Cost matrix成本矩阵Cost-sensitive成本敏感Cross entropy交错熵Cross validation交错考证Crowdsourcing众包Curse of dimensionality维数灾害Cut point截断点Cutting plane algorithm割平面法Data mining数据发掘Data set数据集Decision Boundary决议界限Decision stump决议树桩Decision tree决议树/判断树Deduction演绎Deep Belief Network深度信念网络Deep Convolutional Generative Adversarial NetworkDCGAN深度卷积生成抗衡网络Deep learning深度学习Deep neural network/DNN深度神经网络Deep Q-Learning深度Q 学习Deep Q-Network深度Q 网络Density estimation密度预计Density-based clustering密度聚类Differentiable neural computer可微分神经计算机Dimensionality reduction algorithm降维算法Directed edge有向边Disagreement measure不合胸怀Discriminative model鉴别模型Discriminator鉴别器Distance measure距离胸怀Distance metric learning距离胸怀学习Distribution散布Divergence散度Diversity measure多样性胸怀/差别性胸怀Domain adaption领域自适应Downsampling下采样D-separation( Directed separation)有向分别Dual problem对偶问题Dummy node 哑结点General Problem Solving通用问题求解Dynamic Fusion 动向交融Generalization泛化Dynamic programming动向规划Generalization error泛化偏差Eigenvalue decomposition特点值分解Generalization error bound泛化偏差上界Embedding 嵌入Generalized Lagrange function广义拉格朗日函数Emotional analysis情绪剖析Generalized linear model广义线性模型Empirical conditional entropy经验条件熵Generalized Rayleigh quotient广义瑞利商Empirical entropy经验熵Generative Adversarial Networks/GAN生成抗衡网Empirical error经验偏差络Empirical risk经验风险Generative Model生成模型End-to-End 端到端Generator生成器Energy-based model鉴于能量的模型Genetic Algorithm/GA遗传算法Ensemble learning集成学习Gibbs sampling吉布斯采样Ensemble pruning集成修剪Gini index基尼指数Error Correcting Output Codes/ ECOC纠错输出码Global minimum全局最小Error rate错误率Global Optimization全局优化Error-ambiguity decomposition偏差 - 分歧分解Gradient boosting梯度提高Euclidean distance欧氏距离Gradient Descent梯度降落Evolutionary computation演化计算Graph theory图论Expectation-Maximization希望最大化Ground-truth实情/真切Expected loss希望损失Hard margin硬间隔Exploding Gradient Problem梯度爆炸问题Hard voting硬投票Exponential loss function指数损失函数Harmonic mean 调解均匀Extreme Learning Machine/ELM超限学习机Hesse matrix海塞矩阵Factorization因子分解Hidden dynamic model隐动向模型False negative假负类Hidden layer隐蔽层False positive假正类Hidden Markov Model/HMM 隐马尔可夫模型False Positive Rate/FPR假正例率Hierarchical clustering层次聚类Feature engineering特点工程Hilbert space希尔伯特空间Feature selection特点选择Hinge loss function合页损失函数Feature vector特点向量Hold-out 留出法Featured Learning特点学习Homogeneous 同质Feedforward Neural Networks/FNN前馈神经网络Hybrid computing混杂计算Fine-tuning微调Hyperparameter超参数Flipping output翻转法Hypothesis假定Fluctuation震荡Hypothesis test假定考证Forward stagewise algorithm前向分步算法ICML 国际机器学习会议Frequentist频次主义学派Improved iterative scaling/IIS改良的迭代尺度法Full-rank matrix满秩矩阵Incremental learning增量学习Functional neuron功能神经元Independent and identically distributed/独Gain ratio增益率立同散布Game theory博弈论Independent Component Analysis/ICA独立成分剖析Gaussian kernel function高斯核函数Indicator function指示函数Gaussian Mixture Model高斯混杂模型Individual learner个体学习器Induction归纳Inductive bias归纳偏好Inductive learning归纳学习Inductive Logic Programming/ ILP归纳逻辑程序设计Information entropy信息熵Information gain信息增益Input layer输入层Insensitive loss不敏感损失Inter-cluster similarity簇间相像度International Conference for Machine Learning/ICML国际机器学习大会Intra-cluster similarity簇内相像度Intrinsic value固有值Isometric Mapping/Isomap等胸怀映照Isotonic regression平分回归Iterative Dichotomiser迭代二分器Kernel method核方法Kernel trick核技巧Kernelized Linear Discriminant Analysis/KLDA核线性鉴别剖析K-fold cross validation k折交错考证/k 倍交错考证K-Means Clustering K–均值聚类K-Nearest Neighbours Algorithm/KNN K近邻算法Knowledge base 知识库Knowledge Representation知识表征Label space标记空间Lagrange duality拉格朗日对偶性Lagrange multiplier拉格朗日乘子Laplace smoothing拉普拉斯光滑Laplacian correction拉普拉斯修正Latent Dirichlet Allocation隐狄利克雷散布Latent semantic analysis潜伏语义剖析Latent variable隐变量Lazy learning懒散学习Learner学习器Learning by analogy类比学习Learning rate学习率Learning Vector Quantization/LVQ学习向量量化Least squares regression tree最小二乘回归树Leave-One-Out/LOO留一法linear chain conditional random field线性链条件随机场Linear Discriminant Analysis/ LDA 线性鉴别剖析Linear model线性模型Linear Regression线性回归Link function联系函数Local Markov property局部马尔可夫性Local minimum局部最小Log likelihood对数似然Log odds/ logit对数几率Logistic Regression Logistic回归Log-likelihood对数似然Log-linear regression对数线性回归Long-Short Term Memory/LSTM 长短期记忆Loss function损失函数Machine translation/MT机器翻译Macron-P宏查准率Macron-R宏查全率Majority voting绝对多半投票法Manifold assumption流形假定Manifold learning流形学习Margin theory间隔理论Marginal distribution边沿散布Marginal independence边沿独立性Marginalization边沿化Markov Chain Monte Carlo/MCMC马尔可夫链蒙特卡罗方法Markov Random Field马尔可夫随机场Maximal clique最大团Maximum Likelihood Estimation/MLE极大似然预计/极大似然法Maximum margin最大间隔Maximum weighted spanning tree最大带权生成树Max-Pooling 最大池化Mean squared error均方偏差Meta-learner元学习器Metric learning胸怀学习Micro-P微查准率Micro-R微查全率Minimal Description Length/MDL最小描绘长度Minimax game极小极大博弈Misclassification cost误分类成本Mixture of experts混杂专家Momentum 动量Moral graph道德图/正直图Multi-class classification多分类Multi-document summarization多文档纲要One shot learning一次性学习Multi-layer feedforward neural networks One-Dependent Estimator/ ODE 独依靠预计多层前馈神经网络On-Policy在策略Multilayer Perceptron/MLP多层感知器Ordinal attribute有序属性Multimodal learning多模态学习Out-of-bag estimate包外预计Multiple Dimensional Scaling多维缩放Output layer输出层Multiple linear regression多元线性回归Output smearing输出调制法Multi-response Linear Regression/ MLR Overfitting过拟合/过配多响应线性回归Oversampling 过采样Mutual information互信息Paired t-test成对 t查验Naive bayes 朴实贝叶斯Pairwise 成对型Naive Bayes Classifier朴实贝叶斯分类器Pairwise Markov property成对马尔可夫性Named entity recognition命名实体辨别Parameter参数Nash equilibrium纳什均衡Parameter estimation参数预计Natural language generation/NLG自然语言生成Parameter tuning调参Natural language processing自然语言办理Parse tree分析树Negative class负类Particle Swarm Optimization/PSO粒子群优化算法Negative correlation负有关法Part-of-speech tagging词性标明Negative Log Likelihood负对数似然Perceptron感知机Neighbourhood Component Analysis/NCA Performance measure性能胸怀近邻成分剖析Plug and Play Generative Network即插即用生成网Neural Machine Translation神经机器翻译络Neural Turing Machine神经图灵机Plurality voting相对多半投票法Newton method牛顿法Polarity detection极性检测NIPS 国际神经信息办理系统会议Polynomial kernel function多项式核函数No Free Lunch Theorem/ NFL 没有免费的午饭定理Pooling池化Noise-contrastive estimation噪音对照预计Positive class正类Nominal attribute列名属性Positive definite matrix正定矩阵Non-convex optimization非凸优化Post-hoc test后续查验Nonlinear model非线性模型Post-pruning后剪枝Non-metric distance非胸怀距离potential function势函数Non-negative matrix factorization非负矩阵分解Precision查准率/正确率Non-ordinal attribute无序属性Prepruning 预剪枝Non-Saturating Game非饱和博弈Principal component analysis/PCA主成分剖析Norm 范数Principle of multiple explanations多释原则Normalization归一化Prior 先验Nuclear norm核范数Probability Graphical Model概率图模型Numerical attribute数值属性Proximal Gradient Descent/PGD近端梯度降落Letter O Pruning剪枝Objective function目标函数Pseudo-label伪标记Oblique decision tree斜决议树Quantized Neural Network量子化神经网络Occam’s razor奥卡姆剃刀Quantum computer 量子计算机Odds 几率Quantum Computing量子计算Off-Policy离策略Quasi Newton method拟牛顿法Radial Basis Function/ RBF 径向基函数Random Forest Algorithm随机丛林算法Random walk随机闲步Recall 查全率/召回率Receiver Operating Characteristic/ROC受试者工作特点Rectified Linear Unit/ReLU线性修正单元Recurrent Neural Network循环神经网络Recursive neural network递归神经网络Reference model 参照模型Regression回归Regularization正则化Reinforcement learning/RL加强学习Representation learning表征学习Representer theorem表示定理reproducing kernel Hilbert space/RKHS重生核希尔伯特空间Re-sampling重采样法Rescaling再缩放Residual Mapping残差映照Residual Network残差网络Restricted Boltzmann Machine/RBM受限玻尔兹曼机Restricted Isometry Property/RIP限制等距性Re-weighting重赋权法Robustness稳重性 / 鲁棒性Root node根结点Rule Engine规则引擎Rule learning规则学习Saddle point鞍点Sample space样本空间Sampling采样Score function评分函数Self-Driving自动驾驶Self-Organizing Map/ SOM自组织映照Semi-naive Bayes classifiers半朴实贝叶斯分类器Semi-Supervised Learning半监察学习semi-Supervised Support Vector Machine半监察支持向量机Sentiment analysis感情剖析Separating hyperplane分别超平面Sigmoid function Sigmoid函数Similarity measure相像度胸怀Simulated annealing模拟退火Simultaneous localization and mapping同步定位与地图建立Singular Value Decomposition奇怪值分解Slack variables废弛变量Smoothing光滑Soft margin软间隔Soft margin maximization软间隔最大化Soft voting软投票Sparse representation稀少表征Sparsity稀少性Specialization特化Spectral Clustering谱聚类Speech Recognition语音辨别Splitting variable切分变量Squashing function挤压函数Stability-plasticity dilemma可塑性 - 稳固性窘境Statistical learning统计学习Status feature function状态特点函Stochastic gradient descent随机梯度降落Stratified sampling分层采样Structural risk构造风险Structural risk minimization/SRM构造风险最小化Subspace子空间Supervised learning监察学习/有导师学习support vector expansion支持向量展式Support Vector Machine/SVM支持向量机Surrogat loss代替损失Surrogate function代替函数Symbolic learning符号学习Symbolism符号主义Synset同义词集T-Distribution Stochastic Neighbour Embeddingt-SNE T–散布随机近邻嵌入Tensor 张量Tensor Processing Units/TPU张量办理单元The least square method最小二乘法Threshold阈值Threshold logic unit阈值逻辑单元Threshold-moving阈值挪动Time Step时间步骤Tokenization标记化Training error训练偏差Training instance训练示例/训练例Transductive learning直推学习Transfer learning迁徙学习Treebank树库algebra线性代数Tria-by-error试错法asymptotically无症状的True negative真负类appropriate适合的True positive真切类bias 偏差True Positive Rate/TPR真切例率brevity简洁,简洁;短暂Turing Machine图灵机[800 ] broader宽泛Twice-learning二次学习briefly简洁的Underfitting欠拟合/欠配batch 批量Undersampling欠采样convergence收敛,集中到一点Understandability可理解性convex凸的Unequal cost非均等代价contours轮廓Unit-step function单位阶跃函数constraint拘束Univariate decision tree单变量决议树constant常理Unsupervised learning无监察学习/无导师学习commercial商务的Unsupervised layer-wise training无监察逐层训练complementarity增补Upsampling上采样coordinate ascent同样级上涨Vanishing Gradient Problem梯度消逝问题clipping剪下物;剪报;修剪Variational inference变分推测component重量;零件VC Theory VC维理论continuous连续的Version space版本空间covariance协方差Viterbi algorithm维特比算法canonical正规的,正则的Von Neumann architecture冯· 诺伊曼架构concave非凸的Wasserstein GAN/WGAN Wasserstein生成抗衡网络corresponds相切合;相当;通讯Weak learner弱学习器corollary推论Weight权重concrete详细的事物,实在的东西Weight sharing权共享cross validation交错考证Weighted voting加权投票法correlation互相关系Within-class scatter matrix类内散度矩阵convention商定Word embedding词嵌入cluster一簇Word sense disambiguation词义消歧centroids质心,形心Zero-data learning零数据学习converge收敛Zero-shot learning零次学习computationally计算(机)的approximations近似值calculus计算arbitrary任意的derive获取,获得affine仿射的dual 二元的arbitrary任意的duality二元性;二象性;对偶性amino acid氨基酸derivation求导;获取;发源amenable 经得起查验的denote预示,表示,是的标记;意味着,[逻]指称axiom 公义,原则divergence散度;发散性abstract提取dimension尺度,规格;维数architecture架构,系统构造;建筑业dot 小圆点absolute绝对的distortion变形arsenal军械库density概率密度函数assignment分派discrete失散的人工智能词汇discriminative有辨别能力的indicator指示物,指示器diagonal对角interative重复的,迭代的dispersion分别,散开integral积分determinant决定要素identical相等的;完整同样的disjoint不订交的indicate表示,指出encounter碰到invariance不变性,恒定性ellipses椭圆impose把强加于equality等式intermediate中间的extra 额外的interpretation解说,翻译empirical经验;察看joint distribution结合概率ennmerate例举,计数lieu 代替exceed超出,越出logarithmic对数的,用对数表示的expectation希望latent潜伏的efficient奏效的Leave-one-out cross validation留一法交错考证endow 给予magnitude巨大explicitly清楚的mapping 画图,制图;映照exponential family指数家族matrix矩阵equivalently等价的mutual互相的,共同的feasible可行的monotonically单一的forary首次试试minor较小的,次要的finite有限的,限制的multinomial多项的forgo 摒弃,放弃multi-class classification二分类问题fliter过滤nasty厌烦的frequentist最常发生的notation标记,说明forward search前向式搜寻na?ve 朴实的formalize使定形obtain获取generalized归纳的oscillate摇动generalization归纳,归纳;广泛化;判断(依据不optimization problem最优化问题足)objective function目标函数guarantee保证;抵押品optimal最理想的generate形成,产生orthogonal(矢量,矩阵等 ) 正交的geometric margins几何界限orientation方向gap 裂口ordinary一般的generative生产的;有生产力的occasionally有时的heuristic启迪式的;启迪法;启迪程序partial derivative偏导数hone 怀恋;磨property性质hyperplane超平面proportional成比率的initial最先的primal原始的,最先的implement履行permit同意intuitive凭直觉获知的pseudocode 伪代码incremental增添的permissible可同意的intercept截距polynomial多项式intuitious直觉preliminary预备instantiation例子precision精度人工智能词汇perturbation不安,搅乱theorem定理poist 假定,假想tangent正弦positive semi-definite半正定的unit-length vector单位向量parentheses圆括号valid 有效的,正确的posterior probability后验概率variance方差plementarity增补variable变量;变元pictorially图像的vocabulary 词汇parameterize确立的参数valued经估价的;可贵的poisson distribution柏松散布wrapper 包装pertinent有关的总计 1038 词汇quadratic二次的quantity量,数目;重量query 疑问的regularization使系统化;调整reoptimize从头优化restrict限制;限制;拘束reminiscent回想旧事的;提示的;令人联想的( of )remark 注意random 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英语流利说的ai学习计划IntroductionArtificial Intelligence (AI) is one of the most exciting and rapidly evolving fields in technology today. With the potential to revolutionize industries and improve countless aspects of our daily lives, AI is a field that offers tremendous opportunities for those who have the skills and expertise to work in it. As someone who is passionate about AI and its potential, I have developed a comprehensive learning plan to help me acquire the knowledge and skills necessary to excel in this field.GoalsMy main goal in pursuing AI learning is to become a proficient and knowledgeable AI professional, capable of understanding the latest technological advancements and applying them to real-world problems. In order to achieve this goal, I have set a number of specific learning objectives, including:1. Acquiring a solid foundational understanding of the principles and techniques of artificial intelligence, including machine learning, deep learning, and neural networks.2. Mastering programming languages and tools commonly used in AI, such as Python, TensorFlow, and Keras.3. Gaining hands-on experience with AI projects and applications, in order to develop practical skills and expertise.4. Keeping abreast of the latest developments in AI through ongoing education and professional development.Learning PlanTo achieve my learning objectives, I have developed a comprehensive learning plan that is divided into several key areas of study. These areas include:1. Basic Concepts and Principles of AIThe first step in my learning plan is to acquire a solid foundation in the basic concepts and principles of AI. This includes understanding the history of AI, its current state of development, and its potential future directions. I will also study the main principles and techniques of AI, including machine learning, deep learning, and neural networks, as well as the ethical and societal implications of AI.To achieve this goal, I will use a variety of resources, including online courses, academic textbooks, and scholarly articles. I will also seek out opportunities to engage with experts in the field, such as attending lectures and conferences, and participating in online forums and discussion groups.2. Programming Languages and ToolsIn order to work effectively in AI, it is essential to have a strong foundation in programming languages and tools commonly used in AI research and development. To this end, I will focus on mastering Python, which is widely considered to be the language of choice for AI due to its simplicity and efficiency. I will also gain proficiency in specific AI-related tools and frameworks, such as TensorFlow, Keras, and scikit-learn.To achieve this goal, I will take online courses and tutorials focused on Python and AI-related tools. I will also work on practical projects and assignments to gain hands-on experience with these tools.3. Hands-on Experience and ProjectsOne of the most important aspects of my learning plan is gaining hands-on experience with AI projects and applications. This will allow me to apply the knowledge and skills I have acquired in a real-world setting, and develop the practical expertise necessary to succeed in the field.To achieve this goal, I will seek out opportunities to work on AI projects, either independently or as part of a team. I will also engage in internships or work placements in organizations that are involved in AI research and development, in order to gain practical experience and mentorship from experts in the field.4. Ongoing Education and Professional DevelopmentFinally, I recognize that AI is a rapidly evolving field, and that in order to stay current and competitive, I will need to engage in ongoing education and professional development. This will involve staying informed about the latest developments in AI, as well as seeking out opportunities for advanced training and certification in specific areas of AI.To achieve this goal, I will regularly participate in conferences, workshops, and seminars focused on AI. I will also seek out opportunities for advanced training and certification in specific areas of AI, such as machine learning, deep learning, or reinforcement learning.Timeline and EvaluationIn order to ensure that my learning plan is effective and on track, I have developed a timeline and evaluation process to monitor my progress and make adjustments as needed. This timeline includes specific milestones and deadlines for each area of study, as well as regular checkpoints to evaluate my progress and make adjustments to my learning plan. For example, I have set a six-month deadline to acquire a foundational understanding of the principles and techniques of AI, and a one-year deadline to gain proficiency in programming languages and tools. I will also regularly evaluate my progress by reviewing my work, seeking feedback from mentors and peers, and reflecting on my learning experience.ConclusionIn conclusion, I am excited to embark on my AI learning plan, and I am confident that with dedication and hard work, I will achieve my learning objectives and become a proficient and knowledgeable AI professional. I am committed to staying current and competitive in the field of AI, and I am eager to contribute to the ongoing advancement of this exciting and rapidly evolving field. I look forward to the challenges and opportunities that lie ahead, and to the fulfillment of my goals as an AI professional.。
如何在课堂充分利用人工智能英语作文全文共3篇示例,供读者参考篇1How to Fully Utilize Artificial Intelligence in the ClassroomArtificial Intelligence (AI) is really cool technology that is becoming more and more a part of our lives! It's kind of like having a super smart robot friend that can help you with all sorts of tasks. I think AI has lots of potential to make learning at school way more fun and interactive. Here are some ideas on how we can use AI to its fullest in the classroom:Personal AI TutorsImagine having your own customized AI tutor that could provide one-on-one assistance anytime you need it. This AI tutor would be able to explain concepts in a way that makes sense specifically for you based on your learning style and pace. It could give you extra practice exercises on topics you're struggling with and provide encouragement to keep you motivated.The AI tutor could even use games, stories, and interactive activities to reinforce the lessons in an engaging way. No moregetting bored during lessons or feeling lost! With an AI tutor, you'd always have a friendly guide to ensure you truly understand what's being taught.Immersive Learning ExperiencesRegular classroom lessons can sometimes feel a bit dry and disconnected from the real world. But with AI, we could take virtual field trips to any place or time period we're learning about in vivid detail! Want to visit Ancient Rome or walk alongside dinosaurs? No problem!The AI could generate incredibly realistic simulations with smart AI characters we could interact with. Learning about the American Revolution? We could talk to Benjamin Franklin and Thomas Jefferson like they were really there. This immersive, firsthand experience would make the lessons come alive and stick in our memories far better than just reading about it from a textbook.AI Teacher AssistantsIt can be hard for teachers to give each student all the personalized attention they need, especially in crowded classrooms. But what if they had an AI assistant to help out? The AI could keep track of each student's individual progress andstrugglingpoints, then provide customized materials and activities for extra practice or review.The AI teacher's assistant could automate grading assignments for teachers and give real-time feedback to students on their work. It could even have one-on-one conversations with students to ensure they understand concepts and provide tutoring when needed. With an AI assistant to share the workload, our human teachers could spend more quality time focusing on the creative and interpersonal elements of teaching.AI-Enhanced Lesson PlanningTeachers have to spend so much time researching, preparing materials, and planning creative lessons. An AI could be an incredible tool for streamlining this whole process. The AI could instantly analyze curriculum requirements across different subjects and grade levels. Then it could generate comprehensive lesson plans and create all the worksheets, activities, and multimedia materials needed with just a few prompts from the teacher.The AI could even customize each lesson for different learning abilities and incorporate the latest effective teaching strategies. It could trawl online resources for relevant videos,games, and other engaging content to include. Having an AI handle all the busy work would allow teachers to focus on the high-level planning and adding their own creative spin.AI-Powered research AssistantsWhenever we get assigned research projects or essays to write, an AI assistant could be incredibly helpful for gathering information from trustworthy sources across the internet. The AI could compile all the relevant facts and insights on our topic in an easy-to-understand way. It could even generate outlinesand initial drafts for our paper which we could then edit and put in our own words.The AI could serve as a knowledgeable research buddy we could bounce ideas off of. It could poke holes in our logic and push us to explore different perspectives on our topic. Having this kind of AI assistant would make research projects so much richer and easier to tackle.AI Language TutorsFor students learning another language, having an AI tutor with conversational abilities in that language could be agame-changer. We could practice speaking and listening comprehension by having natural conversations with the AI. Itcould use games to make learning vocabulary more fun and memorable.The AI tutor would be an endless font of patience, never getting frustrated with repeated mistakes. It could provide constructive feedback in a kind way to help improve our skills. Being able to practice a new language anytime with a supportive AI partner could really accelerate the learning process.There are so many possibilities for how AI could supercharge our education! Of course, AI won't completely replace our human teachers. But it could be an incredibly useful aid to enhance lessons and provide personalized learning experiences. With the right AI tools, every student could learn in whatever style works best for them at their own pace.I, for one, can't wait for AI to become a bigger part of our daily classroom experience. School would be a lot more fun, hands-on, and productive with the assistance of these super smart AI technologies. They could open up amazing new worlds of learning for us that just isn't possible with traditional classroom methods. The future of AI in education is bright!篇2How to Fully Utilize Artificial Intelligence in the ClassroomHey there! I'm sure you've heard about artificial intelligence (AI) and how it's changing the world. Well, get ready because AI is also making learning way more fun and engaging in our classrooms!What exactly is AI? It's like having a super smart robot helper that can understand our language, see pictures and videos, and even create things like stories, artwork, and computer code. Pretty neat, right? With AI assistants becoming more advanced each year, there are so many awesome ways we can use them to learn better.One of the coolest things about AI is how it can explain complex topics in simple terms that make sense to us kids. You know how sometimes the lessons can get really confusing with all those big fancy words? AI tutors can break it down into easy-to-understand language and even provide fun examples to help the concepts click. No more getting lost or zoning out during class!Plus, AI is a whiz at answering our questions on any subject you can imagine. Have a burning question about dinosaurs, outer space, or why the sky is blue? Just ask the AI assistant and it'll give you all the details in a way that's super engaging and interactive. No more waiting for the teacher or scramblingthrough books and websites. The knowledge is right at our fingertips!Another stellar way AI can help is by being our personal writing buddy. We all know how tough it can be to come up with ideas for stories, essays, and poems. But AI can actually help spark our creativity by suggesting creative storylines, descriptions, and even funky new words to spice things up. Of course, we still have to put in the hard work of writing. But with AI's help, putting our ideas into words becomes way more fun.And get this – AI can also lend a hand with math, the subject that gives many of us nightmares! Those confusing word problems and multi-step equations suddenly become a lot less scary when you have an AI math tutor walking you through each step. No more feeling like you want to pull your hair out. AI has our backs!But AI's skills go far beyond just academics. It can also teach us super cool tricks like coding, graphic design, music production – you name it! We're the generation that's going to grow up completely fluent in technology. And having an AI assistant to guide us as we explore these future skills? That's an opportunity no kid before us has ever had!Now, I know what you might be thinking: "Doesn't using AI assistants mean we won't have to think for ourselves anymore?" That's a totally fair question! The teachers make sure we don't become too dependent on AI and that we're still exercising our brains. The AI helpers are just there to support us, not do all the work.For example, when we're working on a big research project, the teacher might say we can use AI to gather information and get an overview of the topic. But then it's our job to read through everything, analyze it ourselves, and put it all together in our own words with our own unique perspectives. The AI gives us a head start, but we still have to do all the heavy lifting of processing the info and forming our own ideas.Same goes for getting AI to help with writing assignments. We can use it for brainstorming sessions or to get unstuck if we have writer's block. But at the end of the day, the entire story or essay has to be written by us. The teachers are really strict about making sure we're not just copying and pasting from the AI. That's considered cheating, and it defeats the whole purpose of learning how to express ourselves through writing.There are also a lot of fun AI tools built just for engaging classroom activities and games. My favorite is the AI storytellingapp where you start a story, and then the AI continues it with unexpected plot twists and turns. Then you get to respond to what the AI came up with by adding the next part of the story yourself. It's like an incredible writing adventure that never goes the way you'd expect! The teachers use it to get our creative juices flowing before we have to write our own original stories.I could go on and on about the awesome AI tools we're using at school nowadays. But I think you get the main idea – AI is truly revolutionizing how we learn and interact with knowledge. It makes lessons way more fun and motivates us to be curious about any topic we can dream up. While the teachers are still the ones driving our education, AI acts as this incredibly supportive co-pilot that helps us learn in whole new ways.Of course, there's always the possibility that AI could go a little too far and start doing more harm than good if we rely on it too much. That's why our teachers are really wise about setting limits for how we use AI. They make sure we're still building our critical thinking abilities and not just blindly accepting everything the AI tells us. After all, nobody's perfect – not even crazy smart robots!But as long as we use AI responsibly as a supporting tool, I'm confident it will only continue to open more doors for how welearn and grow. Who knows what genius new ways to use AI will pop up next year or five years from now? The possibilities are endless when you combine human creativity with artificial intelligence. I can't wait to see what sort of AI adventures are still in store for us!So, what do you think? Are you as excited as I am to make the most of AI and take our learning experiences to awesome new heights? Let me know! I'm always eager to hear other kids' perspectives on the latest tech innovations happening in our schools. The future of education is looking brighter than ever, and I'm just thrilled to be along for the incredibly coolAI-enhanced ride.篇3How to Fully Utilize Artificial Intelligence in the ClassroomArtificial Intelligence (AI) is really cool technology that can help us learn better in the classroom! AI refers to computer systems that can think and learn kind of like humans. Instead of just following a set of instructions, AI can look at information, figure out patterns, and make decisions on its own. It's almost like having a super smart robot assistant!I think AI has a lot of awesome potential to improve our education experience. We just have to be creative in finding ways to use it. Here are some of my ideas on how we can fully utilize AI in the classroom:AI Tutors and Personalized LearningOne amazing way AI could help is by providing personalized tutoring and learning for each student. Current classroom setups have one teacher trying to teach 20-30 kids at once. But we all learn at different paces and have different strengths and weaknesses.With an AI tutor program, it could look at each student's performance and learning style to customize the lessons perfectly for them. The AI could give extra practice on areas I'm struggling with, skip over concepts I've already mastered, and present the information in the format that works best for how my brain learns. Maybe I'm a visual learner, so the AI gives me more videos, diagrams and animations. Or maybe I'm an auditory learner, so it uses more spoken explanations.The AI tutor could also be available 24/7 to give me unlimited practice problems and explanations whenever I need it outside of class. It would be so awesome to have my own personal tutor always there to help whenever I'm stuck onhomework or need extra lessons. No more waiting for limited office hours or appointments!Interactive AI Learning GamesSpeaking of making learning fun, AI could also create super engaging educational games and activities. Math, spelling, reading, you name it – AI systems could generate unlimited novel games to drill those skills in a really entertaining way.For example, maybe an AI could create an open-world adventure game where I'm a knight going on quests. But to progress through the game, I have to solve math problems or spelling challenges along the way. The AI could customize all the game content to focus on the specific areas I need to practice. As I master concepts, it would automatically level up the difficulty. And it could create endless new worlds, characters, and storylines so I never get bored.The games could also have realistic speech recognition so I could practice language skills just by talking out loud to AI characters. Or it could integrate educational video/TV shows that are interactive, where the AI characters ask me questions and I have to respond correctly to move the story forward.Those kinds of immersive, gamified learning experiences would make practicing skills so much more motivating and less tedious than just doing problem sets over and over. I'd be so engaged that it wouldn't even feel like I was studying! Plus, the AI could use my gameplay data to identify my exact sticking points and provide custom feedback.Augmented Writing AssistanceI think AI could also give us super cool augmented writing capabilities to improve our skills. We could use AI writing assistants to help brainstorm ideas, pick out grammatical mistakes, suggest better vocabulary, and more.For example, if I was writing an essay and got stuck on my introduction paragraph, I could ask the AI for help. It could rapidly generate a bunch of potential intro paragraphs for me to pick from or combine ideas. As I continued writing, it could suggest sentence revisions and better word choices to elevate my writing in real-time.The AI could also help by automatically detecting areas where I tend to make common errors, like run-on sentences or comma splices. Then it could provide focused practice drills generated specifically for improving those weak areas in my writing mechanics.Even cooler, the AI writing aid could be a speech-to-text system. So I could just talk out my essay ideas, and the AI would transcribe it while cleaning up my spoken language into proper written English. For kids like me who struggle with writing and typing, being able to just discuss my thoughts freely while the AI translates it into an essay could be a total game-changer!Research AssistanceAI could also make our research projects so much easier and more efficient. Instead of just searching for basic keyword matches, we could interact with an AI research assistant using natural language queries.For example, if I was doing a report on photosynthesis, I could ask the AI open-ended questions like "What are the key steps involved in photosynthesis and how do they work?" Or "What are the most important factors that impact photosynthetic rates?"The AI could then rapidly scan through all available information sources and provide a nicely synthesized summary responding to my specific questions. It could pull in relevant quotes, data visualizations, videos, and more to create a rich research paper starter pack customized for my needs.As I reviewed the information, I could ask follow-up questions to clarify any confusing areas. The AI could even generate sample report outlines and spot any contradictory or potentially inaccurate information for me.Having an AI research buddy would save me so much time from getting lost down internet rabbit holes or struggling to comprehend complex topics from just static web pages and books. The AI could tailor all the information at an appropriate level for my understanding while filling in knowledge gaps through our back-and-forth dialogue.General Classroom AssistanceFinally, I can also envision AI assistants being helpful for teachers in managing our classroom activities. Maybe there could be an AI monitoring system that keeps track of things like student engagement levels, confusion zones where many students are getting stuck, and instances of potentialbullying/disruption.The AI could alert the teacher when it detects an issue like a student zoning out or looking frustrated for too long. Then the teacher would know to provide that student some extra attention or a learning intervention.For classroom discussions, an AI system could transcribe everything and do real-time sentiment analysis to gauge student reactions and highlight insightful comments to circle back on. Or it could compile all the main points and questions at the end to ensure key takeaways weren't missed.An AI assistant could be really helpful for things like tracking assignments, managing the queue for students to getone-on-one teacher time, and automating routine tasks so the teacher can focus more on hands-on instruction.So those are some of my ideas for using AI to upgrade our classroom experience! Of course, we'd still need awesome teachers too. AI would just be a tool to make their jobs easier while providing us students with powerful customized learning capabilities.By leveraging the power of AI for personalized tutoring, interactive educational activities, writing assistance, research help, and smart classroom orchestration, I think we could transform our education into something much more engaging and effective. We'd enjoy learning, cut down on dull busy work, and ensure no students get left behind or bored.Technology is supposed to make our lives easier – so let's make sure we fully utilize these incredible AI innovations toupgrade our classroom and equip the future generation with the best education possible! I'm really excited about the potential of AI to revolutionize how we learn.。
2024智能版艾斯英语高中英语听力模拟试题精编全文共3篇示例,供读者参考篇12024智能版艾斯英语高中英语听力模拟试题精编Section 1: Listen to the conversation and answer the questions.1. What does the woman want to do this weekend?A. Go campingB. Visit a museumC. Watch a movie2. Why does the man suggest going to the beach?A. It’s a beautiful dayB. They can swim and relaxC. There’s a volleyball tournament3. What time will they meet on Saturday?A. 10:00 amB. 11:00 amC. 12:00 pmSection 2: Listen to the monologue and answer the questions.4. What information does the speaker provide about the history project?A. The due dateB. The topic optionsC. The grading criteria5. What advice does the speaker give for choosing a topic?A. Pick something easyB. Select a topic that interests youC. Avoid controversial subjects6. How long should the presentation be?A. 5 minutesB. 10 minutesC. 15 minutesSection 3: Listen to the dialogue and answer the questions.7. What is the man’s problem?A. He has lost his walletB. He needs a ride homeC. He forgot his homework8. Why can’t the woman give the man a ride?A. She has to study for a testB. She has to meet a friendC. She doesn’t have a car9. Where does the man promise to meet the woman later?A. In front of the libraryB. By the student centerC. At the cafeteriaSection 4: Listen to the passage and answer the questions.10. What does the speaker say about learning a new language?A. It’s easy for everyoneB. It requires time and practiceC. It’s impossible to master11. How many languages does the speaker speak fluently?A. 2B. 3C. 412. What advice does the speaker give for improving language skills?A. Watch movies in the languageB. Take a classC. Travel to the countryNow, check your answers and see how well you did on the simulation test. Good luck on your English language learning journey!篇2Title: 2024 Intelligent Version Eis English High School English Listening Simulation Test CompilationIntroduction:The 2024 Intelligent Version Eis English High School English Listening Simulation Test is designed to assess students' listening skills in a high school English environment. This test includes a variety of listening tasks that require students to listen to conversations, lectures, and other spoken materials and answer questions based on what they have heard.Section 1: Listening ComprehensionIn this section, students will listen to a series of short conversations and answer multiple-choice questions about the content. These conversations will cover topics such as daily routines, school life, and social activities, and will test students' ability to understand spoken English in various contexts.Sample Question:You will hear a conversation between two friends discussing their plans for the weekend. What are the speakers planning to do?A. Go shoppingB. Play soccerC. Study togetherD. Attend a concertSection 2: Listening PracticeIn this section, students will listen to a longer passage, such as a lecture or a radio broadcast, and answer multiple-choice questions or fill in the blanks with the missing information. These tasks will test students' ability to understand more complex spoken English and extract key information from extended listening materials.Sample Question:You will hear a lecture about the history of the English language. According to the speaker, which of the following languages has had the least influence on English?A. FrenchB. LatinC. GermanD. ChineseSection 3: Listening InterpretationIn this section, students will listen to a recorded dialogue or monologue and answer questions that require them to interpret the speakers' intentions, emotions, or opinions. These tasks willtest students' ability to infer meaning from tone of voice, choice of words, and other subtle cues in spoken English.Sample Question:You will hear a monologue in which a student talks about her experience studying abroad. What is the speaker's attitude towards her host family?A. IndifferentB. GratefulC. DisappointedD. AnnoyedConclusion:The 2024 Intelligent Version Eis English High School English Listening Simulation Test is a valuable tool for assessing students' listening skills in a high school English environment. By practicing with this test, students can improve their ability to understand spoken English and succeed in their English studies.篇3Title: 2024 Intelligent Edition AIS English High School English Listening Simulation Test CompilationIntroduction:The 2024 Intelligent Edition AIS English High School English Listening Simulation Test Compilation is designed to help students improve their listening skills and prepare for exams. This compilation includes a variety of listening exercises that cover different topics and difficulty levels, helping students to enhance their listening comprehension and language proficiency.Section 1: Short Dialogues1. You will hear a short dialogue between two people. Listen carefully and then choose the best answer to the question.Example:- Boy: Can you help me with my homework?- Girl: Sorry, I’m busy right now.Question: What does the girl say?A. She can help him with his homework.B. She is not able to help him with his homework.C. She will help him later.Section 2: Long Dialogues2. You will hear a longer dialogue between two people. Listen carefully and then answer the questions that follow.Example:- Woman: How was your trip to Paris?- Man: It was amazing! The Eiffel Tower was breathtaking.Question 1: What did the man think of the Eiffel Tower?Question 2: Where did the man go on his trip?Section 3: News Reports3. You will hear a news report. Listen carefully and then answer the questions that follow.Example:News Report: A new study suggests that drinking tea can improve brain function.Question 1: What does the news report suggest about drinking tea?Question 2: What benefit does tea have on brain function?Conclusion:The 2024 Intelligent Edition AIS English High School English Listening Simulation Test Compilation is a valuable resource for students looking to improve their listening skills in English. By practicing with these listening exercises, students can enhance their comprehension abilities and perform better in listening tests and exams. We encourage students to use this compilation regularly to build their confidence and proficiency in listening to English.。
Omid Madani Daniel J.LizotteDept.of Computing ScienceUniversity of AlbertaEdmonton,T6J2E8madani dlizotte greiner@cs.ualberta.caRussell GreinerAbstractWe introduce and motivate the task of learningunder a budget.We focus on a basic problem inthis space:selecting the optimal bandit after a pe-riod of experimentation in a multi-armed banditsetting,where each experiment is costly,our to-tal costs cannot exceed afixed pre-specified bud-get,and there is no reward collection during thelearning period.We address the computationalcomplexity of the problem,propose a number ofalgorithms,and report on the performance of thealgorithms,including their(worst-case)approxi-mation properties,as well as their empirical per-formance on various different problem instances.Our results show that several obvious algorithms,such as round robin and random,can performpoorly;we also propose new types of algorithmsthat often work significantly better.1IntroductionLearning tasks typically begin with a data sample—e.g., symptoms and test results for a set of patients,together with their clinical outcomes.By contrast,many real-world stud-ies begin with no actual data,but instead with a budget—funds that can be used to collect the relevant information. For example,one study has allocated$2million to develop a system to diagnose cancer,based on a battery of patient tests,each with its own(known)costs and(unknown)dis-criminative powers.Given our goal of identifying the most accurate classifier,what is the best way to spend the$2 million?Should we indiscriminately run every test on ev-ery patient,until exhausting the budget?...or selectively, and dynamically,determining which tests to run on which patients?We call this problem budgeted learning.An initial step in any learning task is identifying the most discriminative features.Our present work studies the bud-geted learning problem in the following“coins problems”, closely related to feature selection:We are given(distin-guishable)coins with unknown head probabilities.We are allowed to sequentially specify a coin to toss,then observe the outcome of this toss,but only for a known,fixed num-ber of tosses.After this trial period,we have to declare a winner coin.Our goal is to pick the coin with the highest head probability from among the coins.However,consid-ering the limits on our trial period,we seek a strategy for coin tossing that,on average,leads to picking a coin that is as close to the best coin as possible.There is a tight relation between identifying the best coin and the most discriminative feature:the head probability of a coin is a measure of quality,and corresponds to the discrimination power in the feature selection problem.Our companion paper[LMG03]develops the theory and prob-lem definitions for the more general learning problems; here we remark that the hardness results and the algorith-mic issues that we identify in this work also apply to these more general budgeted learning problems,while the latter introduce extra challenges as well.Thefirst challenge in defining the budgeted problem is to formulate the objective to obtain a well-defined and satis-factory notion of optimality for the complete range of bud-gets.We do this by assigning priors over coin quality,and by defining a measure of regret for choosing a coin as a winner.We describe strategies(for determining which coin to toss in each situation),and extend the definition of re-gret to strategies.The computational task is then reduced to identifying a strategy with minimum regret,among all strategies that respect the budget.We address the computational complexity of the problem, showing that it is in PSPACE,but also NP-hard under dif-ferent coin costs.We establish a few properties of optimal strategies,and also explore where some of the difficulties may lie in computing optimal strategies,e.g.,the need for contingency in the strategy,even when all coins have the same cost(the unit-cost case).We investigate the perfor-mance of a number of algorithms empirically and theoreti-cally,by defining and motivating constant-ratio approxima-bility.The algorithms include the obvious ones,such as round-robin and random,as well as novel ones that we pro-pose based on our knowledge of problem structure.One such algorithm,“biased-robin”,works well,especially for the special case of identical priors and unit costs.The paper also raises a number of intriguing open problems.The main contributions of this paper are:Introducing the budgeted learning task and precisely defining a basic problem instance in this space(the “coins problem”)as a problem of sequential decision making under uncertainty.Addressing the computational complexity of the prob-lem,highlighting important issues both for optimality and approximability.Empirically comparing a num-ber of obvious,and not so obvious,algorithms,to-wards determining which work most effectively.Providing in closed-form the expected regret of using one of the most obvious algorithms:round-robin. The paper is organized as follows.A discussion of re-lated work and notational overview ends this section.Sec-tion2describes and precisely defines the coins problem, and Section3presents its computational complexity.Sec-tion4begins by showing that the objective function has an equivalent and simplified form.This simplification allows us to explore aspects of the problem that are significant in designing optimal and approximation algorithms.This section also defines the constant-ratio approximation prop-erty,and describes the algorithms we study,and addresses whether they are approximation algorithms.Section5em-pirically investigate the performance of the algorithms over a range of inputs.For a complete listing of the data,to-gether with additional empirical and analytic results,please see[Gre].1.1Related workThere is a vast literature on sequential decision making, sample complexity of learning,active learning,and exper-iment design,all somewhat related to our work;of which we can only cite a few here.Our“coins problem”is an instance of the general class of multi-armed bandit prob-lems[BF85],which typically involve a trade-off between exploration(learning)and exploitation.In our budgeted problem,there is a pure learning phase(determined by a fixed budget)followed by a pure exploitation phase;This difference in the objective changes the nature of the task significantly,and sets it apart from typicalfinite or infinite-horizon bandit problems and their analyses(e.g.,[KL00]). To the best of our knowledge(and to our surprise)our bud-geted problem has not been studied in the bandit literature before1.Our coins problem is also a special Markov de-cision problem(MDP)[Put94],but the state space in the direct formulation is too large to allow us to use stan-dard MDP solution techniques.While the research on2The Coins ProblemPerhaps the simplest budgeted learning problem is the fol-lowing“coins”problem:You are given a collection of coins with different and unknown head probabilities.As-sume the tail and the head outcomes correspond to receiv-ing no reward and afixed reward(1unit)respectively.You are given a trial/learning period for experimenting with thecoins only,i.e.,you cannot collect rewards in this period. At the end of the period,you are allowed to pick only a sin-gle coin for all your future tosses(reward collection).The trial period is defined as follows:Each toss incurs a cost (e.g.,monetary or time cost),and your total experimental costs may not exceed a budget.Therefore the problem is tofind the best coin possible subject to the budget.Let us now define the problem precisely.The input is:A collection of coins,indexed by the set,whereeach coin is specified by a query(toss)cost and a prob-ability density function over its head probability.We assume that the priors of the different coins are inde-pendent.(Note that these distributions can be different for different coins.)A budget on the total cost of querying.We let the random variable.denote the head probabil-ity of a coin,and let be the density over. Both discrete and continuous densities are useful in our exposition and for our results;Figure1illustrates exam-ples with both types of priors.The family of Beta densities are particularly convenient for representing and updating priors[Dev95].A Beta density is a two-parameter func-tion,Beta,whose pdf has the form,where and are positive integers in this pa-per,and is a normalizing constant,so that the density in-tegrates to.Beta has expectation. Note that the expectation is also the probability that the outcome of tossing such a coin is heads.If the outcome is heads(resp.tails),the density is updated(using Bayes rule)to Beta(resp.Beta).Thus a coin with the uniform prior Beta,that was tossed 5times,and gave4heads and1tail,now has the den-sity Beta,and the probability that its next toss gives heads is.Let usfirst address the question of which coin to pick at the end of the learning period,i.e.,when the budget allows no more tosses.The expected head probability of coin, aka the mean of coin,is:. The coin to pick is the one with the highest mean,which we denote by.Note that coin may be different from the coin whose density has the high-est mode or the coin whose density has the highest prob-ability of having head probability that is no less than any other(e.g.,see Figure1a).The motivation for picking coin is that tossing such a coin gives an expected reward no(a)c2:c1:0.70.60.20.9(b)1.0c3: Beta(1,1), ω(Θ)=10 1.0ω(Θ)=30 Θ (1−Θ)4c4: Beta(5,2),0.30.4Figure1:(a)Coins with discrete distributions.Coin,with0.3 probability has head probability of0.2,and otherwise(with prob-ability0.7)has head probability0.9.The mean(expected head probability)of coin is,while for coin it is,thus coin is the coin to pick with0budget..There-fore the regret from picking coin is.(b)Coins with Beta priors.Coin has the higher mean at. Here(computed by numerical integration). less than the expected reward obtained from tossing any other coin.We will now define a measure of error which we aim to minimize.Let be the actual coin with the high-est head probability,and let,the max random variable,be the random variable correspond-ing to the head probability of.(Note.)The(expected)regret from picking coin,,is then,i.e.,the average amount by which we would have done better had we chosen coin instead of coin.Observe that to minimize regret,2 we also should pick coin.Thus the(expected)mini-mum regret is.Note that the(mini-mum)regret is the difference between two quantities that differ in the order of taking maximum and expectation:,and.2.1StrategiesAssume now that we are allowed to experiment with the coins before having to rmally,a strategy is a prescription of which coin to query at a given time point.In general,such a prescription depends on the objective(min-imizing regret in our case),the outcomes of the previous tosses or equivalently the current densities over head prob-abilities(i.e.,the current belief state),and the remaining budget.Note that after each toss of a coin,the density over its head probability is updated using Bayes formula based on the toss outcome.In the most general form,a strategy may be viewed as afinite rooted-directed tree,(or actually,DAG)where each leaf node is a special leaf(stop) node,and each internal node corresponds to tossing a par-(a)c1r=0.143r=0.095(b)c4r=0r=0maxmax maxmax µ = 6/8µ = 5/8µ = 3/4µ = 5/7Figure 2:Example strategy trees for the coins of Figure 1a and1b respectively.Upper edges correspond to the head outcome of the coin tossed,and the leaf nodes box the coin to pick.(a)Theregret from tossing coin(resp.coin )is 0under either node (resp.0.95and 0.143),and therefore the expected regret is 0(resp.).Tossing coin is optimal.(b)The highest mean is shown by each leaf (by Proposition 4.1,minimizing regret is equivalent to maximizing expected highest mean).In this case,tossing either coin once does not change the (expected)regret.Hence the optimal strategy when two tosses are allowed is to toss coin twice.ticular coin,whose two children are also strategy trees,one for each outcome of the toss (see Figure 2).We will only consider strategies respecting the budget,i.e.,the total cost of coin tosses along any branch may not exceed the budget.Thus the set of strategies to consider is finite though huge (e.g.,assuming unit costs).Associated with each leaf node of a strategy is the regret ,computed using the belief state at that node,and the probability of reaching that leaf ,where is the product of the transition prob-abilities along the path from root to that leaf.We therefore define the regret of a strategy to be the expected regret over the different outcomes,or equivalently the expectation of regret conditioned on execution of ,or :Tree LeafsAn optimal strategyis then one with minimum regret:.Figure 3shows the optimalstrategy for the case of coins with uniform priors,and a budget of.We have observed that optimal strategies for identical priors enjoy a similar pattern (with some exceptions):their top branch (i.e.,as long as the out-comes are all heads)consists of tossing the same coin,and the bottom branch (i.e.,as long as the outcomes are all tails)consists of tossing the coins in a round-robin fashion;see biased-robin (Section 4.2.3below).2.2The Computational ProblemOur overall goal is to execute tosses according to some op-timal strategy .Three relevant computational problems are outputting (1)an optimal strategy,(2)the best coin to toss now (the first action of the optimal strategy),or (3)the minimum regret.As the optimal strategy may be expo-nential in the input size,whenever we talk about thecoinsc1Figure 3:The optimal strategy tree for budget of where all thecoins have uniform priors,and there are at least 4coins.Note thatsome branches terminal after only 2tosses;here the outcome is already determined.problem in a formal sense (e.g.,Theorem 3.1),we shall mean the problem of computing the first action of an opti-mal strategy.3Computational ComplexityThe coins problem is a problem of sequential decision mak-ing under uncertainty,and similar to many other such prob-lems [Pap85],one can verify that it is in PSPACE,as long as we make the assumption that the budget is bounded by a polynomial function of the number of coins 3.The problem is also NP-hard:Theorem 3.1The coins problem is in PSPACE and NP-hard.Proof (sketch).In PSPACE:It takes space polynomial in the budget to compute the value of an optimal policy or the first ac-tion of such a policy:fix an action and compute the regret given the outcome is positive (recursively),and reuse the space to do the same for the negative outcome.Fix another action and reuse the space.The space used is no more than a constant multiple of the budget.NP-Hardness:Assume the priors have non-zero probability at head probability values of 0or 1only:.In this case,strategies are different only with respect to the col-lection of coins they query,and not the order:as soon as a coin returns heads,the regret is 0,and otherwise the coin is discarded.We reduce the KNAPSACK problem to this coins problem.In the KNAPSACK problem [GJ79],given a knapsack with capac-ity ,and a collection of objectswith cost and reward ,the problem is to choose a subsetsof the objects that fit in the knapsack and maximize the total reward among all subsets:subject toObjectwill be coin with cost and probability,so that ,and,i.e.,maximizing the total rewardwould be equivalent to minimizing the failure probability.There-fore success probability of such a coin collection is maximized iff the total reward of the corresponding object set is maximized.Maximizing the success probability is in turn equivalent to mini-mizing the (expected)regret.Our reduction reveals the packing aspect of the budgeted problem.It remains open whether the problem is NP-hard when coins have unit costs and/or uni-modal distributions.The next section discusses the related issue of approxima-bility.4Problem Structure and Algorithm Design It is fairly intuitive that the expectation over the mean of a coin given the coin is tossed should not be different from the current mean of the coin,as we are taking a sum over the possible outcomes.Here,we observe that the expec-tation enjoys the same property:.This allows us to observe the following simpli-fying and perhaps intuitive properties:Proposition4.1We have,1.,therefore,the regret of astrategy is:(1)where denotes the conditional expectation of maximum mean,conditioned on the execution of strategy(i.e.,the expectation of the highest mean over all the outcomes of executing strategy).2.Strategies are harmless:For any strategy,,therefore regret from using any strategy is not greater than the current regret.3.(no need to query useless coins)Assume that underany outcome(i.e.,the execution of any strategy re-specting the budget),there is some coin whose mean is at least as high as coin.Then there exists an optimal strategy tree that never queries coin.Proof(sketch).Part1:We consider tossing a single coin(event ),and we can establish the identity for by summing over the different outcomes.The result generalizes to strategies by induction on tree height.Parts2and3are also established by induction on strategy tree height,byfirst showing that querying a single coin can only in-crease the highest mean,using the fact that the expectation over the mean of a coin if the coin is queried remains the same.Fur-thermore,tossing a coin is useless if the coin cannot affect the highest mean within a single toss.For the induction step for part3, we observe that no optimal strategy of smaller height may query the coin(by induction),and no leaf reports the coin(by the stated assumption).Therefore the relative merit of strategiesremains the same whether or not the coin is queried atfirst.Con-sequently,the optimal strategy is identical whether or not the coin is queried,implying that the regret also remains the same whether or not the coin is queried.We conclude that the optimization problem boils down to computing a strategy that maximizes the expectation over the highest mean;.In se-lecting the coin to query,it is fairly intuitive that two sig-nificant properties of a coin are the magnitude of its current mean,and the spread of its density,that is how changeable its density is if it is queried:if a coin’s mean is too low,it can be ignored by the above result,and if its density is too peaked(imagine no uncertainty),then querying may yield little or no information(the expectation may not be significantly higher than).However,it is fairly surprising that,for the purpose of computing an opti-mal policy,we cannot make further immediate use of these properties.For example,assume coin has Beta prior,and coin has Beta,thus has a higher mean and a lower spread than.But the optimal strategy for a budget of one(and two)starts by querying.The main reason in this case remains that querying does not change our decision under either of its two outcomes( will be the winner),and thus the equals the cur-rent highest mean value of,while querying affects the decision,and the expectation of the given is queried is slightly higher().The optimal strategy may also be contingent.For example,in Figure2b,the policy may simply toss coin twice.How-ever,if we add a third coin with Beta,then if the outcome of thefirst toss is tails,the next optimal action is to toss coin.These observations suggest that optimization may be hard even in the unit-cost case.4.1ApproximabilityConsider an algorithm that given the input,outputs the next action to execute.We call algorithm a constant-ratio approximation algorithm if there is a constant(inde-pendent of problem size),such that given any problem in-stance,if is the optimal regret for the problem,the regret ,from executing actions prescribed by,is bounded by.Of course we seek an approximation algorithm (preferably with low)that is also efficient(polynomial time in input size).A constant-ratio approximation is es-pecially desirable,as the quality of the approximation does not degrade with problem size.4.2AlgorithmsWe describe a number of plausible strategies and algo-rithms,and explore whether or not they are approximation algorithms for the unit-cost case.In the process,we also gain insight into the types of considerations that are signif-icant for designing approximation algorithms.4.2.1Round-Robin,Random,and Greedy Algorithms The round-robin algorithm simply tosses coins in a round-robin fashion,and the random algorithm simply queries the coins uniformly at random.These algorithms are plausible algorithms,at least initially in the trial period,and they are typically used in practice.The third algorithm we consider is the constant-budget algorithm:For a small constant (independent of and),it computes the optimal strategy for that smaller budget,and tosses thefirst coin of such a strategy.(Given the outcome,it then computes the optimal strategy from this new state,etc.)We shall refer to the algorithm as simply greedy in the case of.Perhaps itis not hard to see these algorithms are suboptimal,but we can say more:Proposition4.2For each algorithm that is round-robin, random-strategy,or constant-budget:For any constant ,there is a problem with minimum regret,on which .Proof(sketch).On problems with uniform priors,large,and relatively smaller budget,round-robin and random strategies are unlikely to query a coin more than once,and are therefore expected to get a highest mean of not much more than,from a coin with Beta.On the other hand,with large,and more targeted algorithms(such as envision-single, defined below)find a coin with mean close to this. For the case of the constant-budget algorithm,assume without loss of generality.Assume all coins have uniform pri-ors except for two that have almost completely peaked priors and that their mean is high enough that even if querying either one gives all tails,the rest of the coins cannot catch them within one toss.Then the greedy algorithm may waste tosses on these two coins to identify a winner,but the optimal would explore the rest of the coins,given enough budget,and would have a good chance of discovering a significantly better coin.4.2.2Look-ahead and Allocational StrategiesThe single-coin look-ahead,or simply the look-ahead al-gorithm,takes the budget into account:at each time point, for each coin,it considers allocating all of the remaining tosses to coin,computes the expected regret from such al-location,and tosses a coin that gives the lowest such regret. As there are distinguishable outcomes for tossing a single coin times(where is the number of remaining tosses),this computation can be done in polynomial time (at every time point).The algorithm tosses a coin that is expected to reduce the regret more than others.As this algorithm considers each coin alone,it fails in query-ing the right coins,at least initially,in the following type of scenarios:there are two kindes of coins(i.e.,two different priors are used):Type1coins have probability of hav-ing head probability at(e.g.,)and otherwise their head probability is.With a budget of,the optimal algorithm would toss such coins and would obtain a re-gret close to.Coins of type2are used to“distract”the look-ahead:in each step the increase in maximum mean from tossing any one of them is higher than tossing type1 coins,but their highest mean is bounded away from.We have seen empirically that in such scenarios the regret ra-tio of look-ahead to optimal can exceed a factor of6for example,but the priors are carefully designed.In the next section,we will see that look-ahead is one of the top two algorithms,in the case of identical priors.The argument suggesting that the look-ahead algorithm is not an approximation algorithm,sheds another insight into problem structure.It tells us that in designing an approx-imation(or an optimal)algorithm,it is important to know not only the current budget and the characteristics of the in-dividual coin,but also whether we have sufficiently many other coins similar to:while the(expected)reduction in regret from tossing a single coin may be low,there may be sufficiently many such coins and the budget may be large enough,that spending and spreading tosses over such coins is justified.This observation motivates the following gen-eralization of the look-ahead algorithm:compute the(ap-proximately)optimal allocational strategy:An allocational strategy is specified by the number of tosses assigned to each coin.For example,given a budget of,an alloca-tion may specify that coin1should be tossed twice,coin2 tossed once,and coin3twice(and all other coins0times). Notice this allocation does not specify which coin to query first(any coin with positive allocation may be queried),and it is not contingent,i.e.,it does not change the allocation given the previous outcomes,and therefore it is subopti-mal.However,two interesting questions are:whether the expected regret of an optimal allocational strategy is a con-stant approximation to the minimum regret(of the unre-stricted optimal strategy),and whether an(approximately) optimal allocational strategy can be computed efficiently. Section5addresses thefirst question.The attraction of al-locational strategies is that they are compactly represented and efficiently evaluated:the expected highest mean of an allocational strategy can be computed in time polynomial in the number of coins and the budget.In the special case of round-robin,with coins,and an equal allocation of tosses to every coin(when the budget is a multiple of), the expression for the expected highest mean,, further simplifies to:low;the optimal action may be to toss a previous coin:Suppose after a few tosses,three coins have the distribu-tions Beta Beta Beta,and we haveone more toss.The optimal action is to toss the coin withBeta rather than the untouched Beta.We have implemented this basic algorithm,and for the cases when ,the algorithm simply wraps around when there are no more untouched coins.We call it biased-robin as it canbe viewed as a variant of round-robin,and similar to round-robin,it is budget independent and any-time.5Empirical PerformanceWe report on the performance of the algorithms on the im-portant special case of identical priors and unit costs.Fig-ure4shows the performance of round-robin,random strat-egy,(single-coin)look-ahead,allocational,and the biased-robin algorithms,when,,and the priors are respectively uniform,skewed to the right,Beta, and skewed to the left Beta.Each time point is the average of1000trials,where at the beginning of each trial every coin’s head probability is drawn from the prior.We computed the regrets at every intermediate time point to il-lustrate the performance of the algorithms as the budget is reached.The expectation of the actual maximum valued coin,,is about in the case of uniform priors, and as a randomly picked coin has expected head probabil-ity of,the initial regret for each algorithm is aroundin this case,as expected.The biased-robin and envision-single strategies consis-tently outperform the rest of the strategies tested,while theenvision-single is the most costly algorithm.The biased-robin algorithm has performed the best over the many other parameter settings that we have tested.The reason for the poor performance of greedy is simple:it leads to startva-tion,i.e.,due to its myopic property,as soon as some coin gets ahead,a single toss of any coin does not change the leader,and yields to equal expected regret.In this case, ties are broken by tossing thefirst coin in the list,which may not change the status.If we add a randomization com-ponent to greedy,its performance improves,and becomes slightly better than random(not shown),and still inferior to biased-robin.As observed,looking ahead improves the performance significantly.The allocational strategy computes the optimal allocation at the outset,and sticks to that allocation.For example,for a budget of40,uniform priors and10coins,8of the10 coins are allocated5tosses each.The allocational strategy tosses them in a round-robin fashion.Here,as the priors are identical,we need only search the space of equal allo-cations(many)tofind the optimal(initial)allocation. The relative performance of the round-robin(and random) strategy compared to biased-robin,i.e.,the ratio of the re-gret of round-robin to the regret of biased-robin,gets worseavg.regrettimeFigure5:The performance of the algorithms versus optimal with,and unifrom priors,over4000trials.The regret of biased-robin appears lower than that of optimal at several time points due to inaccuracies of averaging.initially with increasing budget andfixed,but eventually begins to improve(not shown).The worst ratio is a func-tion of however,and the relative performance of round-robin gets worse with increasing(as suggested by the proof of Proposition4.1).For example,with,the worst ratio is below3,while with,it surpasses4. Withfixed and,the relative performance worsens as we increase thefirst Beta parameter,skewing the prior to the right;and improves by increasing the second Beta param-eter(Figure4).The behavior of the allocational strategy approaches the round-robin strategy with increasing bud-get(and with identical priors),eventually allocating equal tosses to all the coins.We have observed empirically that the ratio of the allocational regret to that of biased-robin also degrades with increasing,e.g.,at,the ratio is about,at,it is over,and at,it is over.Therefore,periodic realloca-tion,i.e.,dynamic versus static allocation,appears to be necessary if such a technique is to yield an approximation algorithm.We computed the optimal regret for and, on different types of identical priors.Figure5shows the performance of the optimal strategy against the other al-gorithms on uniform priors.On these problems,the perfor-mances of look-ahead and biased-robin algorithms are very close to that of optimal,suggesting that these algorithms may be approximation algorithms for the special case of identical priors.Due to its performance,efficiency,and simplicity,the biased-robin algorithm is the algorithm of choice among the algorithms we have tested,for the case of identical pri-ors and costs.6Summary and Future WorkThere are a number of directions for future work,in addi-tion to the open problems we have raised.An immediate extension of the problem is to selecting classifiers,which。