A rational model of function learning

Psychonomic Bulletin & Review
Christopher G LucasMichael L Kalish

Abstract

Theories of how people learn relationships between continuous variables have tended to focus on two possibilities: one, that people are estimating explicit functions, or two that they are performing associative learning supported by similarity. We provide a rational analysis of function learning, drawing on work on regression in machine learning and statistics. Using the equivalence of Bayesian linear regression and Gaussian processes, which provide a probabilistic basis for similarity-based function learning, we show that learning explicit rules and using similarity can be seen as two views of one solution to this problem. We use this insight to define a rational model of human function learning that combines the strengths of both approaches and accounts for a wide variety of experimental results.

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Citations

Nov 25, 2016·The Quarterly Journal of Experimental Psychology : QJEP·Maria P Henriksson, Tommy Enkvist
Jun 5, 2018·PLoS Computational Biology·Philipp Schustek, Rubén Moreno-Bote
Oct 29, 2018·Risk Analysis : an Official Publication of the Society for Risk Analysis·Cristóbal De La MazaInês Azevedo
Oct 28, 2019·Psychological Science·Eric SchulzBjörn Meder
May 19, 2020·PLoS Computational Biology·Jannes JegminatJean-Pascal Pfister
May 29, 2020·Proceedings of the National Academy of Sciences of the United States of America·Christiane BaumannBettina von Helversen
Sep 10, 2020·PLoS Computational Biology·Charley M WuNicolas W Schuck
Nov 6, 2018·Cognitive Science·Eric SchulzMaarten Speekenbrink
Apr 17, 2019·Nature Human Behaviour·Charley M WuBjörn Meder
Jun 12, 2020·Scientific Reports·Fabian MunozVincent P Ferrera
Feb 5, 2021·Developmental Science·Björn MederAzzurra Ruggeri
Feb 15, 2020·Cognitive Psychology·Eric SchulzSamuel J Gershman
Nov 21, 2017·Cognitive Psychology·Eric SchulzSamuel J Gershman
Dec 12, 2018·Current Opinion in Neurobiology·Eric Schulz, Samuel J Gershman
Jul 3, 2021·Cognitive Psychology·Lorenzo Ciccione, Stanislas Dehaene
Aug 12, 2021·Cognitive Science·Zachary A Caddick, Benjamin M Rottman
Oct 13, 2021·PloS One·Pierre Giovanni GianferraraJohn Robert Anderson

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