?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Categorical+invariance+and+structural+complexity+in+human+concept+learning&rft.creator=Vigo%2C+Professor+Ronaldo&rft.subject=Cognitive+Psychology&rft.subject=Artificial+Intelligence&rft.subject=Complexity+Theory&rft.subject=Machine+Learning&rft.subject=Perceptual+Cognitive+Psychology&rft.subject=Logic&rft.subject=Psychophysics&rft.description=An+alternative+account+of+human+concept+learning+based+on+an+invariance+measure+of+the+categorical%0D%0Astimulus+is+proposed.+The+categorical+invariance+model+(CIM)+characterizes+the+degree+of+structural%0D%0Acomplexity+of+a+Boolean+category+as+a+function+of+its+inherent+degree+of+invariance+and+its+cardinality+or%0D%0Asize.+To+do+this+we+introduce+a+mathematical+framework+based+on+the+notion+of+a+Boolean+differential%0D%0Aoperator+on+Boolean+categories+that+generates+the+degrees+of+invariance+(i.e.%2C+logical+manifold)+of+the%0D%0Acategory+in+respect+to+its+dimensions.+Using+this+framework%2C+we+propose+that+the+structural+complexity%0D%0Aof+a+Boolean+category+is+indirectly+proportional+to+its+degree+of+categorical+invariance+and+directly%0D%0Aproportional+to+its+cardinality+or+size.+Consequently%2C+complexity+and+invariance+notions+are+formally%0D%0Aunified+to+account+for+concept+learning+difficulty.+Beyond+developing+the+above+unifying+mathematical%0D%0Aframework%2C+the+CIM+is+significant+in+that%3A+(1)+it+precisely+predicts+the+key+learning+difficulty+ordering+of%0D%0Athe+SHJ+%5BShepard%2C+R.+N.%2C+Hovland%2C+C.+L.%2C%26Jenkins%2C+H.+M.+(1961).+Learning+and+memorization+of+classifications.%0D%0APsychological+Monographs%3A+General+and+Applied%2C+75(13)%2C+1-42%5D+Boolean+category+types+consisting+of+three%0D%0Abinary+dimensions+and+four+positive+examples%3B+(2)+it+is%2C+in+general%2C+a+good+quantitative+predictor+of+the%0D%0Adegree+of+learning+difficulty+of+a+large+class+of+categories+(in+particular%2C+the+41+category+types+studied%0D%0Aby+Feldman+%5BFeldman%2C+J.+(2000).+Minimization+of+Boolean+complexity+in+human+concept+learning.+Nature%2C%0D%0A407%2C+630-633%5D)%3B+(3)+it+is%2C+in+general%2C+a+good+quantitative+predictor+of+parity+effects+for+this+large+class+of%0D%0Acategories%3B+(4)+it+does+all+of+the+above+without+free+parameters%3B+and+(5)+it+is+cognitively+plausible+(e.g.%2C%0D%0Acognitively+tractable).&rft.date=2009-06-10&rft.type=Journal+(Paginated)&rft.type=PeerReviewed&rft.format=application%2Fpdf&rft.identifier=http%3A%2F%2Fcogprints.org%2F7132%2F1%2FVigo_Invariance.pdf&rft.identifier=++Vigo%2C+Professor+Ronaldo++(2009)+Categorical+invariance+and+structural+complexity+in+human+concept+learning.++%5BJournal+(Paginated)%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F7132%2F