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Generalization, similarity, and Bayesian inference

Datos Bibliográficos

ID23315877
AutoresJoshua B Tenenbaum (0000-0002-1925-2035, Stanford Medicine), Thomas L Griffiths (0000-0002-5138-7255, Stanford University)
Año2001
Volumen24
Número4
Páginas629-640
Fecha de publicación2001-08-01
Peer ReviewedSí
Open AccessSí
TipoARTICLE
RevistaBehavioral and Brain Sciences (JOURNAL)
Identificadores de la revistaISSN: 0140-525X • E-ISSN: 1469-1825
EditorialCambridge University Press (CUP) (PUBLISHER)
DOI10.1017/s0140525x01000061
PMID12048947
OpenAlexW2027796863
IdiomaEN
Citas recibidas84
Referencias citadas5

Shepard has argued that a universal law should govern generalization across different domains of perception and cognition, as well as across organisms from different species or even different planets. Starting with some basic assumptions about natural kinds, he derived an exponential decay function as the form of the universal generalization gradient, which accords strikingly well with a wide range of empirical data. However, his original formulation applied only to the ideal case of generalization from a single encountered stimulus to a single novel stimulus, and for stimuli that can be represented as points in a continuous metric psychological space. Here we recast Shepard's theory in a more general Bayesian framework and show how this naturally extends his approach to the more realistic situation of generalizing from multiple consequential stimuli with arbitrary representational structure. Our framework also subsumes a version of Tversky's set-theoretic model of similarity, which is conventionally thought of as the primary alternative to Shepard's continuous metric space model of similarity and generalization. This unification allows us not only to draw deep parallels between the set-theoretic and spatial approaches, but also to significantly advance the explanatory power of set-theoretic models.

Bayesian probability · Cognitive science · Generalization · Inference · Unification · Artificial Intelligence · Cognitive Science and Education Research · Cognitive Science and Mapping · Computer Science · Mathematics · Psychology · Theoretical Computer Science

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Obras citantes distintas84
Citas por año3,5
Intervalo de citas2002 - 2026 (25)
Velocidad de citacióncurrent
Altamente citadoNo
Tipos de citaNeutras: 75
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