Web: http://arxiv.org/abs/2209.05544

Sept. 19, 2022, 1:13 a.m. | Daniele Venturi, Xiantao Li

stat.ML updates on arXiv.org arxiv.org

We develop a new formulation of deep learning based on the Mori-Zwanzig (MZ)
formalism of irreversible statistical mechanics. The new formulation is built
upon the well-known duality between deep neural networks and discrete
stochastic dynamical systems, and it allows us to directly propagate quantities
of interest (conditional expectations and probability density functions)
forward and backward through the network by means of exact linear operator
equations. Such new equations can be used as a starting point to develop new
effective parameterizations …

arxiv deep learning

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