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cs.LG2024
Stochastic Differential Equations models for Least-Squares Stochastic Gradient Descent
Adrien Schertzer, Loucas Pillaud-Vivien
We study the dynamics of a continuous-time model of the Stochastic Gradient Descent (SGD) for the least-square problem. Indeed, pursuing the work of Li et al. (2019), we analyze St…
cs.LG2024
Computational-Statistical Gaps in Gaussian Single-Index Models
Alex Damian, Loucas Pillaud-Vivien, Jason D. Lee +1
Single-Index Models are high-dimensional regression problems with planted structure, whereby labels depend on an unknown one-dimensional projection of the input via a generic, non-…