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anisotropic data 1high-dimensional asymptotics 1least squares 1logistic regression 1multi-class learning 1stochastic gradient descent 1

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20242026
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math.OC2024

The High Line: Exact Risk and Learning Rate Curves of Stochastic Adaptive Learning Rate Algorithms

Elizabeth Collins-Woodfin, Inbar Seroussi, Begoña García Malaxechebarría +3

We develop a framework for analyzing the training and learning rate dynamics on a large class of high-dimensional optimization problems, which we call the high line, trained using…