Muon with Nesterov Momentum: Heavy-Tailed Noise and (Randomized) Inexact Polar Decomposition

Jan 1, 2026·
Sayantan Choudhury
Sayantan Choudhury
,
Xiaoran Cheng
,
Martin Takáč
Sen Na
Sen Na
Mladen Kolar
Mladen Kolar
· 0 min read
Type
Publication
Technical report
publication
Sayantan Choudhury
Authors
Post-doc (2025-2026)

Sayantan Choudhury was a postdoctoral researcher at Mohamed bin Zayed University of Artificial Intelligence, hosted by Martin Takáč and Mladen Kolar. He received his PhD in Applied Mathematics and Statistics from Johns Hopkins University. His research is in machine learning and optimization, including large-scale and adaptive optimization, federated learning, and min-max problems.

Personal webpage

Sen Na
Authors
PhD (2016-2021)

Sen Na was a PhD student in the Department of Statistics at The University of Chicago. Prior to graduate school, he obtained BS in mathematics at Nanjing University, China. His research interests lie in nonlinear and nonconvex optimization, dynamic programming, high-dimensional statistics and their interface.

Personal webpage

Mladen Kolar
Authors
Professor of Data Sciences and Operations
Mladen Kolar is a Professor of Data Sciences and Operations at the University of Southern California Marshall School of Business and a Visiting Professor of Statistics and Data Science at Mohamed bin Zayed University of Artificial Intelligence. Before joining USC, he was on the faculty of the University of Chicago Booth School of Business. His research is focused on high-dimensional statistical methods, graphical models, varying-coefficient models and data mining, driven by the need to uncover interesting and scientifically meaningful structures from observational data. He is a Fellow of the Institute of Mathematical Statistics.