Idea Collect Dictionary of Treelet Pairs
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二叉排序树(也被称为二叉搜索树)是一种特殊的树结构,它的每个节点都有一个可以比较的值,以及指向其两个子节点的指针。
在这样的树上进行单词查找的基本思路如下:1. 插入单词:首先,将所有的待查找单词都插入到二叉搜索树中。
你可以根据单词的字典序或自然顺序来插入它们。
如果单词已经在树中,则保持不变。
2. 查找单词:一旦插入完所有的单词,就可以进行查找操作。
查找的逻辑和在常规数组中的查找逻辑相似,使用二叉搜索树的特性来进行快速查找。
你可以通过遍历二叉搜索树来找到包含给定单词的节点。
3. 删除节点:在找到包含给定单词的节点后,你可能需要进行删除操作。
这需要从二叉搜索树中删除该节点,并保持树的平衡。
删除操作可能会更复杂一些,取决于你的具体实现和你的二叉搜索树的数据结构。
这里是一个简单的Python示例代码,用于展示如何在二叉搜索树中查找单词:```pythonclass Node:def __init__(self, word):self.word = wordself.left = Noneself.right = Nonedef insert(root, word):if root is None:return Node(word)else:if root.word < word:root.right = insert(root.right, word) else:root.left = insert(root.left, word) return rootdef search(root, word):if root is None or root.word == word:return Trueif root.word < word:return search(root.right, word)else:return search(root.left, word)# 测试代码root = Nonewords = ["apple", "banana", "orange", "grape"]for word in words:root = insert(root, word)print(search(root, "banana")) # 输出 Trueprint(search(root, "grape")) # 输出 Trueprint(search(root, "pear")) # 输出 False```这个代码示例展示了如何在二叉搜索树中插入和查找单词。
collectionutils permutations方法【原创版4篇】目录(篇1)1.引言2.介绍collectionutils和permutations方法3.使用collectionutils和permutations方法的方法和步骤4.讨论使用collectionutils和permutations方法的优点和缺点5.结论正文(篇1)在现代编程中,集合(Collection)是一种常用的数据结构,用于存储一组对象。
在Python中,有一个名为collectionutils的模块,其中包含了许多有用的集合操作方法。
其中之一是permutations方法,用于生成给定集合的所有排列。
使用collectionutils和permutations方法的方法和步骤如下:1.首先,导入collectionutils模块:```pythonfrom collectionutils import permutations```2.然后,定义一个集合,例如一个列表:```pythonmy_list = [1, 2, 3]```3.接下来,使用permutations方法生成该集合的所有排列:```pythonpermutations = permutations(my_list)```4.最后,可以使用for循环遍历所有排列:```pythonfor permutation in permutations:print(permutation)```使用collectionutils和permutations方法的优点是它可以快速生成给定集合的所有排列,并且可以用于各种编程任务。
然而,缺点是它生成的所有排列都是列表对象,如果需要其他类型的排列,需要将其转换为所需的类型。
目录(篇2)I.介绍A.什么是collectionutilsB.什么是permutations方法II.permutations方法的使用A.语法B.参数C.返回值D.示例III.使用permutations方法的注意事项A.参数顺序B.参数类型C.返回值的处理正文(篇2)collectionutils permutations方法是一种用于生成集合中所有可能排列的Python库。
小学六年级上册英语第4单元期测验题(含答案含解析)英语试题一、综合题(本题有50小题,每小题2分,共100分.每小题不选、错误,均不给分)1.Which of these is a place?A. SchoolB. ChairC. BookD. Pen2.Today is a __________ (1) day. The sky __________ (2) clear, and the sun__________ (3) shining brightly. I __________ (4) my sunglasses because it __________ (5) very hot. I __________ (6) to the park later and __________ (7) a picnic with my family. We __________ (8) to play some games after eating.3.Which of these is a means of transport?A. AirplaneB. HatC. PillowD. Shoe4.Which of these is a toy?A. BallB. SpoonC. PlateD. Car5.Which of these is a type of animal?A. GiraffeB. TreeC. TableD. Car6.I am getting ready for my school talent show. I will sing a song, and my friend is going to play the __ to accompany me. We are both practicing a lot so that we can give a great __.7.What is the opposite of "big"?A. TallB. SmallC. HappyD. Soft8.Which of these is used to clean your teeth?A. ToothbrushB. SpoonC. PlateD. Fork9.David is learning how to play the guitar. His teacher shows him how to play a few__________. David practices strumming the strings with his __________ and learns to play a simple __________. He is excited because he can now play a small song. His goal is to be able to play a full __________ in the future.10.What is the opposite of happy?A. SadB. AngryC. FunnyD. Tired11.Which of these is a season?A. JanuaryB. SpringC. SundayD. October12.David is at the zoo with his family. He is looking at the __________ in the lion’s cage. The lion is walking around and roaring loudly. David’s sister is taking pictures of the __________, which are jumping and playing in the trees. After that, they go to see the __________, which has long necks and is eating leaves from a tall tree. It’s a fun day at the zoo!13.Where do you sleep?A. KitchenB. BathroomC. BedroomD. Living room14.I ______ (not like) to go shopping. My mother ______ (love) it, so she ______ (ask) me to go with her every weekend. I usually ______ (stay) at home and ______ (play) video games instead.15.Which one is a mode of transportation?A. BusB. PlateC. ForkD. Chair16.Which of these is a fruit?A. GrapeB. PotatoC. CarrotD. Onion17.Which one is a type of weather?A. DogB. RainC. ChairD. Car18.Which animal is known for saying "meow"?A. dogB. catC. horseD. cow19.Which one is a mode of transport?A. CarB. TableC. ChairD. Book20.I ______ (not/like) to do my homework in the evening. I always ______ (do) it after school. Yesterday, I ______ (finish) my homework earlier than usual because I ______ (have) more free time.21.What is the color of an apple?A. RedB. GreenC. BlueD. Purple22.Which of these is a season?A. TuesdayB. SummerC. GreenD. March23.What is the opposite of "new"?A. OldB. BigC. SmallD. Heavy24.Which of these is a classroom item?A. PillowB. ChairC. BedD. Spoon25.I went to the zoo last weekend. I saw many animals there, including lions, tigers, and elephants. The __ was very big, and it looked so strong. It was standing near a tree, eating leaves. I took a picture of it because it was my favorite animal.26.Which of these is used for writing?A. EraserB. PenC. KnifeD. Spoon27.On Sundays, my family __________ (visit) my grandparents. We __________ (have) lunch together, and after that, we __________ (go) for a walk in the park. My brother __________ (love) playing with the dogs in the park, and I __________ (enjoy) reading under a tree.28.Yesterday, we __________ (go) to the zoo. We __________ (see) many animals, such as lions, elephants, and monkeys. It __________ (be) very hot, but we __________ (have) a great time. My sister __________ (take) a lot of photos.29.Which of these is a number?A. CarB. 10C. BallD. Chair30.She ________ (write) a letter to her friend now.31.What color is a banana?A. BlueB. GreenC. YellowD. Red32.I _______ a letter to my friend last week.33.What do we use to drink?A. KnifeB. SpoonC. CupD. Plate34.Where do we keep books in a classroom?A. DeskB. ShelfC. WindowD. Door35.We _______ (be) very happy today.36.What do we use to open a door?A. PenB. KnifeC. KeyD. Spoon37.Lily is going to her grandmother’s house for the weekend. She packs a __________, some __________, and her favorite __________. When she arrives, her grandmother gives her a big hug and takes her to the __________. After dinner, they watch a__________ together before going to bed. Lily loves spending time with her grandmother.38.Which of these animals can fly?A. ElephantB. TigerC. BirdD. Fish39.During the holiday, my family and I went camping in the mountains. We stayed in a tent and cooked food over a campfire. At night, we looked at the stars and told stories. It was a fun and memorable trip.40.We _______ (not, go) to the beach today.41.What is the opposite of "up"?A. DownB. SideC. LeftD. Right42.I __________ (1) very excited today because it __________ (2) my birthday! I__________ (3) invite my friends to my party. We __________ (4) have a lot of fun. We __________ (5) play games and __________ (6) eat cake. It __________ (7) the best birthday ever!43.My mother always ______ (cook) dinner in the evening. Yesterday, she ______ (make) my favorite dish. I ______ (help) her set the table, and we ______ (eat) together as a family.44.Which one is a vegetable?A. LettuceB. BananaC. AppleD. Orange45.What is the plural form of "book"?A. BookiesB. BooksC. BookesD. Bookes46.Which of these is a tool used for writing?A. PenB. SpoonC. PlateD. Knife47.I have a pet ______. It is very ______ and likes to play with me every day. In the morning, I give it some ______ to eat. After that, we go for a walk in the ______. It loves to chase after the ______ and run around. It’s my favorite an imal.48.Which one is a vegetable?A. OrangeB. TomatoC. BananaD. Cucumber49.My father ______ (drive) me to school every day. Yesterday, he ______ (not/drive) me because he ______ (have) a meeting. I ______ (take) the bus instead. Today, he______ (drive) me again.50.Which shape has 4 equal sides?A. RectangleB. TriangleC. SquareD. Circle(答案及解释)。
idea列举类的所有方法(最新版3篇)目录(篇1)1.概述2.idea 列举类的概念3.idea 列举类的方法分类4.举例说明 idea 列举类的方法5.结论正文(篇1)1.概述在编程中,我们经常需要对一些数据进行列举,以便进行不同的处理。
在 Java 中,idea 列举类为我们提供了这样的功能。
本文将详细介绍idea 列举类的所有方法,帮助大家更好地理解和使用这一类。
2.idea 列举类的概念idea 列举类,全称“Idea Enumeration”,是 Java 中的一个类,用于表示列举。
它继承自 ng.Object 类,实现了java.util.Enumeration 接口,提供了一系列的方法来操作列举。
3.idea 列举类的方法分类idea 列举类提供了以下几类方法:(1)构造方法:用于创建列举对象。
(2)遍历方法:用于遍历列举中的元素。
(3)获取元素方法:用于获取当前列举的元素。
(4)修改元素方法:用于修改当前列举的元素。
(5)其他方法:包括 hasMoreElements() 等。
4.举例说明 idea 列举类的方法下面我们通过一个例子来说明 idea 列举类的一些常用方法:```java// 创建一个 idea 列举对象idea<String> enumExample = new idea<String>();// 添加元素enumExample.add("元素 1");enumExample.add("元素 2");enumExample.add("元素 3");// 遍历列举while (enumExample.hasMoreElements()) {System.out.println(enumExample.nextElement()); }// 获取当前元素System.out.println(enumExample.currentElement());// 修改当前元素enumExample.set(1, "新元素 1");// 输出修改后的列举while (enumExample.hasMoreElements()) {System.out.println(enumExample.nextElement()); }```5.结论idea 列举类为我们提供了方便的列举操作,可以简化编程过程。
小学上册英语第1单元期末试卷考试时间:80分钟(总分:100)A卷一、综合题(共计100题共100分)1. 听力题:The park is very ________.2. 选择题:How many wheels does a bicycle have?A. 2B. 3C. 4D. 53. 选择题:What is the name of the famous children's book character who is a mouse?A. Stuart LittleB. BambiC. Peter RabbitD. The Tale of Despereaux4. 听力题:The train is ______ on time. (arriving)5. 填空题:My friend is very __________ (友好).6. 听力题:You can find _______ in a garden or park.7. 选择题:What do we call an animal that only eats plants?A. CarnivoreB. HerbivoreC. OmnivoreD. Insectivore答案:B8. 选择题:What is a common way to greet someone?A. GoodbyeB. HelloC. SorryD. Thanks9. 填空题:The city of Sydney is famous for its ________ (歌剧院).10. 听力题:The flowers are _____ in the garden. (blooming)11. 听力题:The _____ (护士) helps patients.12. 选择题:What do you call a story that explains how something came to be?A. MythB. LegendC. FableD. Tale答案: A13. 填空题:The newt has a long ______ (尾巴).14. 填空题:The __________ (植物的分类) system is complex.15. 选择题:What is the main ingredient in ice cream?A. MilkB. WaterC. JuiceD. Soda16. 听力题:The monkey is ______ in the tree. (swinging)17. 选词填空,将词语写在四线三格内。
小学上册英语第4单元真题英语试题一、综合题(本题有100小题,每小题1分,共100分.每小题不选、错误,均不给分)1.My favorite animal is a ______ (海豹) because they are playful.2.How many wheels does a bicycle have?A. TwoB. ThreeC. FourD. FiveA3.I like to make ______ for special occasions.4.The process of using heat to separate components is called ______.5.ai were warriors in ________ (日本). The Silk6.My collection of _________ (玩具车) includes a red sports car and a blue truck.7.我的朋友喜欢 _______ (活动). 她觉得这很 _______ (形容词)8.What is the main source of energy for the Earth?A. MoonB. SunC. StarsD. WindB9.Which of these is a popular video game?A. MonopolyB. MinecraftC. ChessD. ScrabbleB10.__________ are used in the cosmetic industry for moisturizing.11.What do you call the place where you go to learn?A. ParkB. SchoolC. HospitalD. Store12.The ____ is a tiny creature that can be found in almost every garden.13.I love the __________ (夜空) filled with stars.14.What do we call the study of insects?A. OrnithologyB. EntomologyC. ZoologyD. BiologyB15.What is the name of the famous painting by Leonardo da Vinci?A. The Last SupperB. Mona LisaC. The Starry NightD. The ScreamB16.I like to collect __________ after a storm. (雨水)17.What is the name of the famous ancient city in Greece?A. AthensB. MycenaeC. DelphiD. All of the above18.What do you call a place where animals are kept for people to see?A. FarmB. ZooC. ParkD. AquariumB19.What do we call the time when the sun is highest in the sky?A. MorningB. NoonC. EveningD. Night20.The _____ (草地) is green and soft where we play.21.I enjoy learning about different ______ (历史事件) and how they shaped the world. It’s fascinating!22.My friend is ______ (tall) and smart.23.What do we call the process of moving from one place to another?A. TransportationB. TravelC. CommuteD. MigrationB24.She is ___ (picking/choosing) flowers.25.The chemical symbol for xenon is ______.26.My sister loves to __________ (学习) new languages.27.What do we call the study of the movement of the Earth’s plates?A. Plate tectonicsB. GeologyC. MetrologyD. CartographyA28.Which of these is a type of tree?A. RoseB. OakC. DaisyD. Tulip29.There are many _____ (books) on the shelf.30.The _______ (海马) is a unique fish.31.What is the primary color made by mixing blue and yellow?A. GreenB. OrangeC. PurpleD. Brown32. A physical change does not produce a new ______.33.I love to play _______ (棋) with my family.34.The cat lounges in a _____ sunny spot.35. A ____ is a tiny creature that can build intricate webs.36.I have a ___ (surprise) for you.37.The hamster stores food in its _______ (脸颊).38.I have a toy ________ that can bounce.39.Carbon dioxide is produced during ______.40.What do we call the place where animals live in the wild?A. HabitatB. SanctuaryC. ZooD. ParkA41.What do we call a young chicken?A. DucklingB. CalfC. ChickD. Foal42.We have a _____ (演出) next week.43.The _______ (Plymouth Rock) is a symbol of the Pilgrims’ landing in America.44.The stars are ________ at night.45.I enjoy creating art with my toy ________ (玩具名称).46.The puppy is _____ in the yard. (playing)47.The ________ was a significant event in the history of global relations.48.Which animal lives in the Arctic?A. LionB. PenguinC. Polar bearD. KangarooC49.What is the name of the famous mountain in Oceania?A. Mount CookB. Mount KosciuszkoC. Mount TaranakiD. All of the above50.We celebrate New Year in ______ (一月).51.I enjoy _______ (参加) environmental activities.52.I enjoy ________ (读书) in the evening.53.The goldfish swims in a _________. (圆形池)54. A kitten pounces on ______ (玩具).55.The _____ (forest/park) is quiet.56.What do we call the main ingredient in a salad?A. DressingB. LettuceC. CroutonsD. CheeseB57.The _____ is a group of stars that form a picture in the sky.58. A ______ (猴子) is fun to watch at the zoo.59.The process of refining metals involves removing _______.60.We can grow __________ (蔬菜) like tomatoes and carrots.61.What do we call the practice of growing plants for food?A. AgricultureB. HorticultureC. GardeningD. All of the aboveD All of the above62.The ________ (历史文化) shapes our identity.63.What is the opposite of 'big'?'大'的反义词是什么?A. SmallB. TallC. LongD. WideA64.The chemical formula for sodium dichromate is _____.65.This is my best . (这是我最好的。
idea 抽取方法Idea Extraction Methods。
When it comes to generating new ideas, many people struggle to find the right method that works for them. Whether you are a writer, a designer, an entrepreneur, or simply someone looking to spark creativity in your daily life, having a reliable idea extraction method can make a world of difference. In this document, we will explore some effective ways to extract ideas and unleash your creative potential.1. Mind Mapping。
One popular method for idea extraction is mind mapping. This technique involves creating a visual representation of your thoughts and ideas, allowing you to see theconnections between different concepts. To start a mind map, simply write down a central idea or theme and then branch out with related subtopics. You can use colors, images, andsymbols to enhance your mind map and make it more engaging. Mind mapping can help you explore new angles and perspectives on a particular topic, leading to fresh and innovative ideas.2. Brainstorming。
单词查找树树—基本概念2010-05-19 16:02:32 阅读184 评论0 字号:大中小订阅在进行文法分析的时候,通常需要检测一个单词是否在我们的单词列表里。
为了提高查找和定位的速度,通常都要画出与单词列表所对应的单词查找树,其特点如下:(1)根节点不包含字母,除根节点外每一个节点都仅包含一个大写英文字母;(2)从根节点到某一节点,路径上经过的字母依次连起来所构成的字母序列,称为该节点对应的单词。
单词列表中的每个词,都是该单词查找树某个节点所对应的单词;(3)在满足上述条件下,该单词查找树的节点数最少。
例:图一的单词列表对应图二的单词查找树对一个确定的单词列表,请统计对应的单词查找树的节点数(包括根节点)输入格式:一个单词列表,每一行仅包含一个单词和一个换行/回车符。
每个单词仅由大写的英文字符组成,长度不超过63个字符。
文件总长度不超过32K,至少有一行数据。
输出格式:仅包含一个整数和一个换行/回车符。
该整数为单词列表对应的单词查找树的节点数。
样例输入AANASPASASCASCIIBASBASIC样例输出13分析:这里让我们对建树的过程有一个了解,就像上述过程描述的方式一样,每插入一个字符串,我们从根开始往下搜索,找到一条尽量长的与插入串前缀相吻的路径,最后搜到找不到吻合的时候,插入串的最后部分在树中生成一条独立的路径。
上述算法是可以AC的。
还有一个优化。
我们发现前缀相同的字串,他们在根据最长前缀在树中插入或走的路径大致吻合,这样我们把前缀尽量相同的字串放在一起,对比处理,不用建树就可以通过路径区别做到,没有公共前缀的字串他们是不关联的。
这种摆放需要排序,保证按字符串大小排升序,然后模拟迭代配对。
Program word;Vara:array[1..6700]of string; tmp:string;last:string;n,i,j,ans:longint;Beginassign(input,'word.in');reset(input); assign(output,'word.out');rewrite(output);while not eof dobegin inc(n);readln(a[n]);end;for i:=1 to n-1 dofor j:=i+1 to n doif a[i]>a[j] thenbegin tmp:=a[i];a[i]:=a[j];a[j]:=tmp;end;last:=a[1];inc(ans,length(a[1]));for i:=2 to n dobeginj:=1;while (j<=length(last))and(j<=length(a[i])) and(last[j]=a[i][j]) do inc(j);inc(ans,length(a[i])-j+1);last:=a[i];end;inc(ans);writeln(ans);close(input);close(output);End.{找到另人题解/muyunhai/blog/item/58779dc292103130e5dd3bc4.html} {我的题解}vart,i,j:integer;a:array[0..100] of string;max,l,n:integer;procedure pai;vari,j:integer;s:string;beginfor i:=1 to n-1 dofor j:=i to n doif a[i]>a[j] thenbegins:=a[i];a[i]:=a[j];a[j]:=s;end;end;procedure int;vari,j,w:integer;begini:=1; readln(w);readln(a[i]);l:=length(a[i]);max:=l;repeatinc(i);readln(a[i]);l:=length(a[i]);if max<l then max:=l;until i=w;n:=w;end;procedure main;var i,j:integer;k:integer;beginfor i:=1 to max dofor j:=1 to n dobeginl:=length(a[j]);if l>=i then beginif a[j][i]<>a[j-1][i] then inc(t);if (a[j][i]=a[j-1][i]) then begink:=i;while (a[j][k]=a[j-1][k])and(k>0) dodec(k);if k<>0 theninc(t);end;end;end; end;beginassign(input,'int.txt');reset(input);int;close(input);pai;main;write(t+1);end.tree.inAANASPASASCASCIIBASBASICtree.out13Trie树就是字符树,其核心思想就是空间换时间。
idea提取方法Idea Extraction Methods。
When it comes to generating new ideas, it can be challenging to know where to start. However, there are several effective methods for extracting ideas that can help you overcome creative blocks and come up with innovative solutions. In this document, we will explore some of the most powerful idea extraction methods that you can use to fuel your creativity and generate fresh concepts.One of the most popular idea extraction methods is brainstorming. This involves gathering a group of people together to generate ideas through open discussion and free thinking. By allowing everyone to share their thoughts and build upon each other's ideas, brainstorming can lead to the creation of unique and innovative concepts. It is important to create a non-judgmental environment during the brainstorming process to encourage the free flow of ideas.Another effective idea extraction method is mind mapping. This technique involves creating a visual representation of ideas and their connections. By starting with a central concept and branching out to related ideas, mind mapping can help you explore different angles and connections between ideas. This visual approach can often lead to unexpected insights and new perspectives.Furthermore, conducting research and gathering inspiration from a variety of sources can also be a powerful idea extraction method. By immersing yourself in different topics and exploring diverse perspectives, you can uncover new ideas and approaches that can inform your own creative process. Reading books, watching documentaries, and attending lectures or workshops can all provide valuable input for idea generation.Additionally, taking a step back and allowing yourself to daydream and engage in free association can be an effective idea extraction method. By giving your mind the freedom to wander and make unexpected connections, you can stumble upon unique and innovative ideas that may not have emerged through more structured methods.Moreover, seeking feedback from others can also be a valuable idea extraction method. By sharing your ideas with trusted colleagues, friends, or mentors, you can gain new insights and perspectives that can help you refine and develop your ideas further. Constructive feedback can often lead to the improvement and evolution of initial concepts.In conclusion, there are many effective idea extraction methods that you can use to fuel your creativity and generate fresh concepts. Whether it's through brainstorming, mind mapping, research, daydreaming, or seeking feedback, there are numerous approaches that can help you overcome creative blocks and come up with innovative solutions. By incorporating these methods into your creative process, you can enhance your ability to generate and develop new ideas.。
idea 快速生成项目结构的文档树形式标题:如何利用idea快速生成项目结构的文档树形式在软件开发过程中,项目结构的清晰性对于团队合作和代码维护都至关重要。
而在通过IDE进行代码编写时,如何快速生成项目结构的文档树形式,可以帮助开发者更好地理解项目的架构和关系。
本文将介绍如何利用IDEA快速生成项目结构的文档树形式,以及如何充分利用这一功能来提高开发效率。
一、概念理解在软件开发中,项目结构的文档树形式指的是以树状结构展示项目中各个文件、文件夹之间的关系。
通过文档树形式,开发者可以清晰地了解项目结构,便于快速定位和操作文件。
IDEA(IntelliJ IDEA)是一种由JetBrains开发的Java集成开发环境,提供了丰富的功能来简化开发过程。
二、利用IDEA快速生成项目结构的文档树形式在IDEA中,可以通过以下步骤快速生成项目结构的文档树形式:1. 打开IDEA并加载需要生成文档树形式的项目。
2. 在项目视图中,右键点击项目或文件夹,选择“Show in Explorer”或“Show in Finder”,在系统文件管理器中打开该项目或文件夹。
3. 在系统文件管理器中,可以看到项目的实际目录结构,包括所有文件和文件夹。
4. 可以根据需要,对文件和文件夹进行重命名、删除或移动操作,此时系统文件管理器的操作会在IDEA中同步更新。
通过以上步骤,可以快速生成项目结构的文档树形式,有助于开发者更清晰地了解项目的架构和关系,进而提高开发效率。
三、充分利用文档树形式来提高开发效率生成项目结构的文档树形式之后,开发者可以充分利用这一功能来提高开发效率:1. 快速定位文件:通过文档树形式,开发者可以快速定位到需要编辑或查看的文件,节省了寻找文件的时间。
2. 理清项目架构:文档树形式可以帮助开发者更清晰地理解项目的架构和关系,有助于更好地设计和维护代码。
3. 方便文件操作:可以在文档树形式中直接对文件和文件夹进行重命名、删除或移动操作,操作简单方便。
April17,2007MT Marathon:Tree-based TranslationOverview of Part2Synchronous Tree-Substitution Grammars(STSG)Idea:Observe a Pair of Dependency TreesIdea:Decompose Trees into TreeletsIdea:Collect Dictionary of Treelet Pairs=NP said Sb=Sb NPAdjdom´a c ´ı=Little Trees Formally•V is a set of nodes,•V i⊆V is a nonempty set of internal nodes.The complement V f=V\V i is called the set of frontier nodes,•E⊆V i×V is a set of directed edges starting from internal nodes only and forming a directed acyclic graph,•q∈Q is the root state,•l:V i→L is a function assigning labels to internal nodes,•s:V f→Q is a function assigning states to frontier nodes.Optionally,we can keep track of local or global ordering of nodes in treelets.I depart fromˇCmejrek(2006)in a few details,most notably I require at least one internal node in each little tree. April17,2007MT Marathon:Tree-based Translation6Treelet Pair Formally,Synch.DerivationSb NPPractical IssuesDecoding STSGTranslation Options Example#Theassociationsaiddemandgrew.Sample translation options at root:# VP # VP t⇒ # Pred AuxK ⇒ # Pred . ⇒ Sb uvedla , ˇe Pred zSample translation options at ’said’:VP NP VPSample translation options at ’.’:⇒.April 17, 2007MT Marathon: Tree-based Translation10Expanding Hypothesis Example#Theassociationsaiddemandgrew.h0 h1Sample Derivation: # ⇒ ## VP #⇒ # Pred .h2NP # VP⇒ # Sb uvedla , ˇe Pred . zh3NP April 17, 2007 NP MT Marathon: Tree-based Translation⇒ # Sb uvedla , ˇe Sb stoupla . z11Risks of Data Sparseness (1)Morphological richness: • not an issue at a higher layer, where nodes hold lemmas. Pred = Sb Adv stouplaf em,sg Pred = Sb Adv stouplmasc,sg Pred = Sb Adv stouplimasc,pl ... NP grew PP NP grew PP VP NP grew PP VP VPApril 17, 2007MT Marathon: Tree-based Translation12Risks of Data Sparseness (2)Frontiers for additional adjuncts, state labels for root and frontiers: • Once a node is used as internal, all its children have to be included in the little tree as internals or frontiers. (There is no adjunction in STSG.)Pred = stoupla Pred = stoupla Pred = stoupla VP NP grew VP grew PP VP grew PP PPSbSbAdvNPSbAdvAdvNPApril 17, 2007MT Marathon: Tree-based Translation13Risks of Data Sparseness (3)Ordering of nodes: • Czech has a relatively free word order, many permutations possible. • Not an issue if we decide to leave the tricky part for someone else, e.g. a tecto→analytical generator.Pred = Sb stoupla Adv Pred = Adv stoupla Pred = stoupla Sb Pred = Sb stoupla NP grew VP grew VP grew VP grew PP VPSbNPPPAdvNPPPAdvNPPPApril 17, 2007MT Marathon: Tree-based Translation14Back-off SchemesPreserve all. Full-featured treelets are collected in training phase. Required treelets often never seen in training data ⇒ back-off needed. Drop frontiers. Observed treelets reduced to internal nodes only. Given a source treelet, internals translated by the dictionary, frontiers generated on the fly, labelled and positioned probabilistically. Keep a word non-translated to handle unknown words. Allowed only for single-internal treelets, frontiers mapped probabilistically. Transfer numeric expression, showing possibility to include hand-coded rules. Adjoin on the fly like Quirk, Menezes, and Cherry (2005); not implemented. Modular approach to back-off schemes, config says: • which methods to use • in which order, or whether more should be attempted at simultaneously.April 17, 2007 MT Marathon: Tree-based Translation 15Current Experimental SetupTo allow for end-to-end BLEU evaluation, I mainly experiment with: • analytical trees (treelets fully lexicalized with word forms, locally ordered), • heuristic treelet dictionary extraction, • target treelet structure disregarded (output linearized right away). Features already supported: • GDBM to store and access treelet tables (zero loading time). • IrstLM to promote hypotheses containing frequent trigrams. • MERT by Philipp Koehn (Och, 2003) or Smith and Eisner (2006). Future: • Tectogrammatical transfer, chain of transfers. • Impact of EM training, input parse quality.April 17, 2007 MT Marathon: Tree-based Translation 16Current Problems• Search errors.Input sentence of 35 words, stack size 200. The final best hypothesis (red) ranked as the 126th in stack 12.• MERT won’t work with many search errors. • Bad parses mislead translation ⇒ plan to allow uncertain input. ⇒ Currently terribly beaten by Moses.(English→Czech BLEU 7 or 8 instead of 13)April 17, 2007MT Marathon: Tree-based Translation17SummaryBigger picture: MT model preserving dependency syntax: • STSG can be used to model dependency tree-to-tree mapping. • Linguistically motivated layers reduce sparseness.(STSG is applicable at or across various layers: t→t, a→a, t cs →aen, ten→aen .)• Heuristics or EM to obtain treelet pairs. “Smaller” picture: • Czech-English data available at various layers of annotation. • A preliminary version of an STSG decoder.Implemented in Mercury, a functional language compiled to C. Sharable with all interested. No public release yet, contact me directly. Eventually GPL’d.April 17, 2007MT Marathon: Tree-based Translation18Additional Useful Linksbojar@ufal.mff.cuni.cz For all interested in collaboration. More Czech-English Data http://ufal.mff.cuni.cz/czeng/ Czech is a challenge for anyone! Mercury http://www.cs.mu.oz.au/research/mercury/ Pure, functional, (higher order), statically type- and mode-checked ⇒ If it compiles, it runs. Compiled to plain C ⇒ seamless integration with C/C++ components; efficient.April 17, 2007MT Marathon: Tree-based Translation19References。