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On Rate-Distortion Theory in Capacity-Limited Cognition & Reinforcement Learning

2022-10-30 16:39:40
Dilip Arumugam, Mark K. Ho, Noah D. Goodman, Benjamin Van Roy

Abstract

Throughout the cognitive-science literature, there is widespread agreement that decision-making agents operating in the real world do so under limited information-processing capabilities and without access to unbounded cognitive or computational resources. Prior work has drawn inspiration from this fact and leveraged an information-theoretic model of such behaviors or policies as communication channels operating under a bounded rate constraint. Meanwhile, a parallel line of work also capitalizes on the same principles from rate-distortion theory to formalize capacity-limited decision making through the notion of a learning target, which facilitates Bayesian regret bounds for provably-efficient learning algorithms. In this paper, we aim to elucidate this latter perspective by presenting a brief survey of these information-theoretic models of capacity-limited decision making in biological and artificial agents.

Abstract (translated)

URL

https://arxiv.org/abs/2210.16877

PDF

https://arxiv.org/pdf/2210.16877.pdf


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