Exploring the Representation of Linear Functions
- Pablo Leon Villagra, University of Edinburgh, Edinburgh, United Kingdom
- Verena Klar, University of Edinburgh, Edinburgh, United Kingdom, United Kingdom
- Adam Sanborn, University of Warwick, Coventry, United Kingdom
- Chris Lucas, University of Edinburgh, Edinburgh, United Kingdom
AbstractFunction learning research has highlighted the importance of human inductive biases that facilitate long-range extrapolations. However, most previous research is focused on aggregate errors or single-criterion extrapolations. Thus, little is known about the underlying psychological space in which continuous relationships are represented. We ask whether people can learn the distributional properties of new classes of relationships, using Markov Chain Monte Carlo with People, and find that (1) people are able to track not just the expected parameters of a linear function, but information about the variability of functions in a specific context and (2) in many cases these spaces over parameters exhibit multiple modes.
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