Cosyne 2007 Friday evening, Poster II-2 Decision-theoretic saliency computational principle

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Decision-theoreticsaliency:computationalprinciples,biologi-

calplausibilityandimplicationsforneurophysiologyandpsy-

chophysics

DashanGao1,NunoVasconcelos1

1StatisticalVisualComputingLaboratory,UniversityofCaliforniaSanDiego

Adecision-theoreticformulationofvisualsaliency,firstproposedfortop-downprocessing(objectrecogni-

tion)in(Gao&Vasconcelos,2005)isextendedtotheproblemofbottom-upsaliency.Underthisformula-

tion,optimalityisdefinedintheminimumprobabilityoferrorsense,underaconstraintofcomputational

parsimony.Thesaliencyofthevisualfeaturesatagivenlocationofthevisualfieldisdefinedasthepower

ofthosefeaturestodiscriminatebetweenthestimulusatthelocationandanullhypotheses.Forbottom-up

saliency,thisisthesetofvisualfeaturesthatsurroundthelocationunderconsideration.Discriminationis

definedinaninformation-theoreticsenseandtheoptimalsaliencydetectorderivedforaclassofstimulithat

complieswithknownstatisticalpropertiesofnaturalimages.

Itisshownthattheoptimaldetectorconsistsofwhatisusuallyreferredtoasthestandardarchitecture

ofV1(Carandini,Demb,Mante,Tolhurst,Dan,Olshausen,etal.,2005):acascadeoflinearfiltering,

divisivenormalization,rectificationandspatialpooling.Theoptimaldetectorisalsoshowntoreplicate

thefundamentalpropertiesofthepsychophysicsofsaliency(Treisman&Gelade,1980):stimuluspop-out,

saliencyasymmetriesforstimuluspresencevs.absence,disregardoffeatureconjunctions,andWeber’s

law.Finally,itisshownthattheoptimalsaliencyarchitecturecanbeappliedtothesolutionofgeneric

inferenceproblems.Inparticular,fortheclassstimulistudied,itperformsthethreefundamentaloperations

ofstatisticalinference:assessmentofprobabilities,implementationofBayesdecisionrule,andfeature

selection.

Acknowledgments

ThisresearchwassupportedbyNSFCareerawardIIS-0448609,NSFawardIIS-0534985,andagiftfrom

GoogleInc.

References[1]Discriminantsaliencyforvisualrecognitionfromclutteredscenes.D.GaoandN.Vasconcelos,Proc.

NIPS2004:481-488,Dec2004.

[2]Doweknowwhattheearlyvisualsystemdoes?M.Carandini,J.Demb,V.Mante,D.Tolhurst,Y.Dan,

B.Olshausen,etal.JournalofNeuroscience25:10577-10597,2005.

[3]Afeature-integrationtheoryofattention.A.TreismanandG.Gelade.CognitivePsychology12(1):97-

136,1980.Cosyne 2007Friday evening, Poster II-2

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