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The Simplicity and Power model for inductive inference

The Simplicity and Power model for inductive inference With this paper we wish to present a simplicity (informally ‘simple explanations are the best’) formalism that is easily and directly applicable to modeling problems in cognitive science. While simplicity has been extensively advocated as a psychologically relevant principle, a general modeling formalism has been lacking. The Simplicity and Power model (SP) is a particular simplicity-based framework, that has been supported in machine learning (Wolff, Unifying computing and cognition: the SP theory and its applications, 2006). We propose its utility in cognitive modeling. For illustration, we provide SP demonstrations of the trade-off between encoding with whole exemplars versus parts of stimuli in learning and the effect of wide versus narrow distributions in categorization. In both cases, SP computations show how simplicity can account for these contrasts, in terms of how the frequency of individual exemplars in training compares to the frequency of their constituent parts. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Artificial Intelligence Review Springer Journals

The Simplicity and Power model for inductive inference

Artificial Intelligence Review , Volume 26 (3) – Nov 21, 2007

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References (73)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer Science+Business Media B.V.
Subject
Computer Science; Complexity; Computer Science, general ; Artificial Intelligence (incl. Robotics)
ISSN
0269-2821
eISSN
1573-7462
DOI
10.1007/s10462-007-9058-x
Publisher site
See Article on Publisher Site

Abstract

With this paper we wish to present a simplicity (informally ‘simple explanations are the best’) formalism that is easily and directly applicable to modeling problems in cognitive science. While simplicity has been extensively advocated as a psychologically relevant principle, a general modeling formalism has been lacking. The Simplicity and Power model (SP) is a particular simplicity-based framework, that has been supported in machine learning (Wolff, Unifying computing and cognition: the SP theory and its applications, 2006). We propose its utility in cognitive modeling. For illustration, we provide SP demonstrations of the trade-off between encoding with whole exemplars versus parts of stimuli in learning and the effect of wide versus narrow distributions in categorization. In both cases, SP computations show how simplicity can account for these contrasts, in terms of how the frequency of individual exemplars in training compares to the frequency of their constituent parts.

Journal

Artificial Intelligence ReviewSpringer Journals

Published: Nov 21, 2007

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