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Rational approximations to rational models : alternative algorithms for category learning
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Sanborn, Adam N., Griffiths, Thomas L. and Navarro, Daniel J. (2010) Rational approximations to rational models : alternative algorithms for category learning. Psychological Review, Vol.117 (No.4). pp. 1144-67. ISSN 1939-1471
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Official URL: http://dx.doi.org/10.1037/a0020511
Abstract
Rational models of cognition typically consider the abstract computational problems posed by the environment, assuming that people are capable of optimally solving those problems. This differs from more traditional formal models of cognition, which focus on the psychological processes responsible for behavior. A basic challenge for rational models is thus explaining how optimal solutions can be approximated by psychological processes. We outline a general strategy for answering this question, namely to explore the psychological plausibility of approximation algorithms developed in computer science and statistics. In particular, we argue that Monte Carlo methods provide a source of rational process models that connect optimal solutions to psychological processes. We support this argument through a detailed example, applying this approach to Anderson's (1990, 1991) rational model of categorization (RMC), which involves a particularly challenging computational problem. Drawing on a connection between the RMC and ideas from nonparametric Bayesian statistics, we propose 2 alternative algorithms for approximate inference in this model. The algorithms we consider include Gibbs sampling, a procedure appropriate when all stimuli are presented simultaneously, and particle filters, which sequentially approximate the posterior distribution with a small number of samples that are updated as new data become available. Applying these algorithms to several existing datasets shows that a particle filter with a single particle provides a good description of human inferences.
| Item Type: | Journal Article |
|---|---|
| Subjects: | B Philosophy. Psychology. Religion > BF Psychology R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry |
| Divisions: | Faculty of Science > Psychology |
| Library of Congress Subject Headings (LCSH): | Categorization (Psychology), Cognition, Monte Carlo method |
| Journal or Publication Title: | Psychological Review |
| Publisher: | American Psychological Association |
| ISSN: | 1939-1471 |
| Date: | 2010 |
| Volume: | Vol.117 |
| Number: | No.4 |
| Page Range: | pp. 1144-67 |
| Identification Number: | 10.1037/a0020511 |
| Status: | Peer Reviewed |
| Funder: | National Science Foundation (U.S.), United States. Air Force. Office of Scientific Research |
| Grant number: | IIS-0845410 (NSF), FA9550-07-1-0351 (AFOSR) |
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| URI: | http://wrap.warwick.ac.uk/id/eprint/36000 |
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