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Affine Natural Proximal Learning

  • Alex Tong Lin (MPI MiS, Leipzig + Department of Mathematics, UCLA)
A3 01 (Sophus-Lie room)

Abstract

We revisit the natural gradient method for learning. Here we consider the proximal formulation and obtain a closed-form approximation of the proximal term over an affine subspace of functions. We mainly consider the two statistical metrics: the Wasserstein metric, and the Fisher-Rao metric, and we introduce numerical methods for high-dimensional parameter spaces.

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Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail