33 citations · 133 across the 43 of their papers we have counts for
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math.ST2023
Dyson Equation for Correlated Linearizations and Test Error of Random Features Regression
Hugo Latourelle-Vigeant, Elliot Paquette
This paper develops some theory of the Dyson equation for correlated linearizations and uses it to solve a problem on asymptotic deterministic equivalent for the test error in rand…
math.ST2022★ 2 cited
Homogenization of SGD in high-dimensions: Exact dynamics and generalization properties
Courtney Paquette, Elliot Paquette, Ben Adlam +1
We develop a stochastic differential equation, called homogenized SGD, for analyzing the dynamics of stochastic gradient descent (SGD) on a high-dimensional random least squares pr…
math.ST2018
Surjectivity of near square random matrices
Hoi H. Nguyen, Elliot Paquette
We show that a nearly square iid random integral matrix is surjective over the integral lattice with very high probability. This answers a question by Koplewitz. Our result extends…