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Stochastic Thermodynamics of Learning
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abstract
Virtually every organism gathers information about its noisy environment and builds models from that data, mostly using neural networks. Here, we use stochastic thermodynamics to analyse the learning of a classification rule by a neural network. We show that the information acquired by the network is bounded by the thermodynamic cost of learning and introduce a learning efficiency $\eta\le1$. We discuss the conditions for optimal learning and analyse Hebbian learning in the thermodynamic limit.
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Thermodynamics of Learning: A Typed Four-Component Accounting of Memory, Fit, and Value
A typed accounting separates record correlation from operational capital value in finite learning devices, with separation, capitalization-efficiency, and value-retention theorems.
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