ADAPTIVE UNCERTAINTY-WEIGHTED ADMM FOR DISTRIBUTED OPTIMIZATION.

Autor: JIANPING YE, WAN, CALEB, SAMY WU FUNG
Předmět:
Zdroj: Journal of Applied & Numerical Optimization; 2022, Vol. 4 Issue 2, p273-290, 26p
Abstrakt: We present AUQ-ADMM, an adaptive uncertainty-weighted consensus ADMM method for solving large-scale convex optimization problems in a distributed manner. Our key contribution is a novel adaptive weighting scheme that empirically increases the progress made by consensus ADMM scheme and is attractive when using a large number of subproblems. The weights are related to the uncertainty associated with the solutions of each subproblem, and are efficiently computed using low-rank approximations. We show AUQ-ADMM provably converges and demonstrate its effectiveness on a series of machine learning applications, including elastic net regression, multinomial logistic regression, and support vector machines. We provide an implementation based on the PyTorch package1. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index