Learning to Learn Functions
- PMID: 37051879
- DOI: 10.1111/cogs.13262
Learning to Learn Functions
Abstract
Humans can learn complex functional relationships between variables from small amounts of data. In doing so, they draw on prior expectations about the form of these relationships. In three experiments, we show that people learn to adjust these expectations through experience, learning about the likely forms of the functions they will encounter. Previous work has used Gaussian processes-a statistical framework that extends Bayesian nonparametric approaches to regression-to model human function learning. We build on this work, modeling the process of learning to learn functions as a form of hierarchical Bayesian inference about the Gaussian process hyperparameters.
Keywords: Bayesian nonparametrics; Function learning; Gaussian process; Hierarchical Bayesian models; Learning-to-learn.
© 2023 The Authors. Cognitive Science published by Wiley Periodicals LLC on behalf of Cognitive Science Society (CSS).
References
-
- Anderson, J. R. (1990). The adaptive character of thought. Erlbaum.
-
- Austerweil, J. L., Sanborn, S., & Griffiths, T. L. (2019). Learning how to generalize. Cognitive Science, 43(8), e12777.
-
- Baxter, J. (1998). Theoretical models of learning to learn. In S. Thrun & L. Pratt (Eds.), Learning to learn (pp. 71-94). Springer.
-
- Brehmer, B. (1974). Hypotheses about relations between scaled variables in the learning of probabilistic inference tasks. Organizational Behavior and Human Performance, 11(1), 1-27.
-
- Carroll, J. D. (1963). Functional learning: The learning of continuous functional mappings relating stimulus and response continua. Educational Testing Service.
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