3 papers
math.PR2026
The high-dimensional asymptotics of first order methods with random data
Michael Celentano, Chen Cheng, Andrea Montanari
We study a class of deterministic flows in , parametrized by a random matrix with i.i.d. centered subgaussian…
math.ST2025
State evolution beyond first-order methods I: Rigorous predictions and finite-sample guarantees
Michael Celentano, Chen Cheng, Ashwin Pananjady +1
We develop a toolbox for exact analysis of iterative algorithms on a class of high-dimensional nonconvex optimization problems with random data. While prior work has shown that low…
stat.ML2025
Integral Probability Metrics Meet Neural Networks: The Radon-Kolmogorov-Smirnov Test
Seunghoon Paik, Michael Celentano, Alden Green +1
Integral probability metrics (IPMs) constitute a general class of nonparametric two-sample tests that are based on maximizing the mean difference between samples from one distribut…