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Even in state-spaces of modest size, planning is plagued by the “curse of dimensionality”. This problem is particularly acute in human and animal cognition given the limited capacity of working memory, and the time pressures under which planning often occurs in the natural environment. Hierarchically organized modular representations have long been suggested to underlie the capacity of biological systems to efficiently and flexibly plan in complex environments. However, the principles underlying efficient modularization remain obscure, making it difficult to identify its behavioral and neural signatures. Here, we develop a normative theory of efficient state-space representations which partitions an environment into distinct modules by minimizing the average (information theoretic) description length of planning within the environment, thereby optimally trading off the complexity of planning across and within modules. We show that such optimal representations provide a unifying account for a diverse range of hitherto unrelated phenomena at multiple levels of behavior and neural representation.
Author Information
Daniel McNamee (University of Cambridge)
Daniel M Wolpert (University of Cambridge)
Daniel Wolpert read medical sciences at Cambridge and clinical medicine at Oxford. After working as a medical doctor for a year he completed a PhD in the Physiology Department at Oxford. He then worked as a postdoctoral fellow at MIT, before moving to the Institute of Neurology, UCL. In 2005 he took up the post of Professor of Engineering for the Life Sciences at the University of Cambridge and is a Fellow of Trinity College. His research interests are computational and experimental approaches to human sensorimotor control (www.wolpertlab.com).
Mate Lengyel (University of Cambridge)
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