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math.OC2020
A Single-Loop Smoothed Gradient Descent-Ascent Algorithm for Nonconvex-Concave Min-Max Problems
Jiawei Zhang, Peijun Xiao, Ruoyu Sun +1
Nonconvex-concave min-max problem arises in many machine learning applications including minimizing a pointwise maximum of a set of nonconvex functions and robust adversarial train…
math.OC2020★ 1 cited
DEED: A General Quantization Scheme for Communication Efficiency in Bits
Tian Ye, Peijun Xiao, Ruoyu Sun
In distributed optimization, a popular technique to reduce communication is quantization. In this paper, we provide a general analysis framework for inexact gradient descent that i…
math.OC2019
Understanding Limitation of Two Symmetrized Orders by Worst-case Complexity
Peijun Xiao, Zhisheng Xiao, Ruoyu Sun
Update order is one of the major design choices of block decomposition algorithms. There are at least two classes of deterministic update orders: nonsymmetric (e.g. cyclic order) a…