?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Multiplicative+Binding%2C+Representation+Operators+%26+Analogy+(Workshop+Poster)&rft.creator=Gayler%2C+Ross+W.&rft.subject=Cognitive+Psychology&rft.subject=Neural+Nets&rft.description=Analogical+inference+depends+on+systematic+substitution+of+the+components+of+compositional+structures.+Simple+systematic+substitution+has+been+achieved+in+a+number+of+connectionist+systems+that+support+binding+(the+ability+to+create+connectionist+representations+of+the+combination+of+component+representations).+These+systems+have+used+various+implementations+of+two+generic+composition+operators%3A+bind()+and+bundle().+This+paper+introduces+a+novel+implementation+of+the+bind()+operator+that+is+simple%2C+can+be+efficiently+implemented%2C+and+highlights+the+relationship+between+retrieval+queries+and+analogical+mapping.+A+frame+of+role%2Ffiller+bindings+can+easily+be+represented+using+bind()+and+bundle().+However%2C+typical+binding+systems+are+unable+to+adequately+represent+multiple+frames+and+arbitrary+nested+compositional+structures.+A+novel+family+of+representational+operators+(called+braid())+is+introduced+to+address+these+problems.+Other+binding+systems+make+the+strong+assumption+that+the+roles+and+fillers+are+disjoint+in+order+to+avoid+ambiguities+inherent+in+their+representational+idioms.+The+braid()+operator+can+be+used+to+avoid+this+assumption.+The+new+representational+idiom+suggests+how+the+cognitive+processes+of+bottom-up+and+top-down+object+recognition+might+be+implemented.+These+processes+depend+on+analogical+mapping+to+integrate+disjoint+representations+and+drive+perceptual+search.&rft.date=1998&rft.type=Preprint&rft.type=NonPeerReviewed&rft.format=application%2Fpostscript&rft.identifier=http%3A%2F%2Fcogprints.org%2F502%2F1%2FMulBind-Poster.ps&rft.format=application%2Fpostscript&rft.identifier=http%3A%2F%2Fcogprints.org%2F502%2F4%2FMulBind-Poster.ps&rft.identifier=++Gayler%2C+Ross+W.++(1998)+Multiplicative+Binding%2C+Representation+Operators+%26+Analogy+(Workshop+Poster).++%5BPreprint%5D+++++&rft.relation=http%3A%2F%2Fcogprints.org%2F502%2F