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arxiv: 2308.03754 · v2 · pith:XRS63NNC · submitted 2023-08-07 · cond-mat.dis-nn · cond-mat.stat-mech

High-Dimensional Non-Convex Landscapes and Gradient Descent Dynamics

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classification cond-mat.dis-nn cond-mat.stat-mech
keywords dynamicshigh-dimensionalphysicsdescentdevelopedgradientlandscapesnon-convex
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In these lecture notes we present different methods and concepts developed in statistical physics to analyze gradient descent dynamics in high-dimensional non-convex landscapes. Our aim is to show how approaches developed in physics, mainly statistical physics of disordered systems, can be used to tackle open questions on high-dimensional dynamics in Machine Learning.

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