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math.OC2023
Hitting the High-Dimensional Notes: An ODE for SGD learning dynamics on GLMs and multi-index models
Elizabeth Collins-Woodfin, Courtney Paquette, Elliot Paquette +1
We analyze the dynamics of streaming stochastic gradient descent (SGD) in the high-dimensional limit when applied to generalized linear models and multi-index models (e.g. logistic…
math.PR2023
High-dimensional limit of one-pass SGD on least squares
Elizabeth Collins-Woodfin, Elliot Paquette
We give a description of the high-dimensional limit of one-pass single-batch stochastic gradient descent (SGD) on a least squares problem. This limit is taken with non-vanishing st…