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Harmonizing Program Induction with Rate-Distortion Theory

MPG-Autoren
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Zhou,  H
Institutional Guests, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Nagy,  DG
Department of Computational Neuroscience, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Wu,  CM       
Institutional Guests, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Zitation

Zhou, H., Nagy, D., & Wu, C. (2024). Harmonizing Program Induction with Rate-Distortion Theory. In 46th Annual Meeting of the Cognitive Science Society (CogSci 2024) (pp. 2511-2518). doi:10.48550/arXiv.2405.05294.


Zitierlink: https://hdl.handle.net/21.11116/0000-000F-72B1-8
Zusammenfassung
Many aspects of human learning have been proposed as a process of constructing mental programs: from acquiring symbolic number representations to intuitive theories about the world. In parallel, there is a long-tradition of using information processing to model human cognition through Rate Distortion Theory (RDT). Yet, it is still poorly understood how to apply RDT when mental representations take the form of programs. In this work, we adapt RDT by proposing a three way trade-off among rate (description length), distortion (error), and computational costs (search budget). We use simulations on a melody task to study the implications of this trade-off, and show that constructing a shared program library across tasks provides global benefits. However, this comes at the cost of sensitivity to curricula, which is also characteristic of human learners. Finally, we use methods from partial information decomposition to generate training curricula that induce more effective libraries and better generalization.