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1、ComputationalAestheticsInformationalAestheticsMeasuresJaumeRigau,MiquelFeixas,andMateuSbert■UniversityofGirona,Spainn1928,GeorgeD.Birkhoffformalizedthetoorder.OurexperimentsshowthatbothglobalIaestheticmeasureofanobjectasthequotientandcompositionalmeasuresex
2、tendBirkhoff’sbetweenorderandcomplexity(seealsothe“Re-measureandhelpusunderstandandquantifythe1latedWork”sidebar).FromBirkhoff’swork,Maxcreativeprocess.23Bense,togetherwithAbrahamMoles,developedinformationalaesthetics(orinformation-theoreticInformationtheor
3、yandKolmogorovaestheticsfromtheoriginalGermanterm),whichcomplexity4definestheconceptsoforderandcomplexitySomebasicnotionsofinformationtheory,Kol-478fromShannon’snotionofinformation.AsBirk-mogorovcomplexity,andphysicalentropyservehoffstated,formalizingthesea
4、sbackgroundforourwork.concepts,whichdependontheTheBirkhoffaestheticcontext,author,observer,andInformation-theoreticmeasuresmeasureofanobjectisthesoon,isdifficult.SchaandBodInformationtheorydealswithinformation4ratiobetweenorderandclaimedthatinspiteofthesetr
5、ansmission,storage,andprocessing.Research-measures’simplicity,“ifwein-ersinfieldssuchasphysics,computerscience,sta-complexity.Informationaltegratethemwithotherideastistics,biology,imageprocessing,andlearninguseaestheticsdescribesthefromperceptualpsychologya
6、ndinformationtheory.interpretationofthismeasurecomputationallinguistics,theyLetXbeafinitesetandXbearandomvari-fromaninformation-theoreticmayinfactconstituteastart-abletakingvaluesxinXwithdistributionp(x)=perspective.Fromtheseideas,ingpointforthedevelopmento
7、fPr[X=x](thatis,theprobabilitythatvariableXtheauthorsdefineasetofmoreadequateformalmodels.”5takesvaluex).Likewise,letYbearandomvariableratiosbasedoninformationThecreativeprocessgenerallytakingvaluesyinY.Wecharacterizeaninforma-theoryandKolmogorovproducesord
8、erfromdisorder.tionchannelX→YbetweentworandomvariablescomplexitythatcanhelpBenseproposedageneralschema(inputXandoutputY)byaprobabilitytransitiontoquantifytheaestheticthatcharacterizesartisticpro-matrix
