*Result*: Quantized ADMM design for distributed strongly convex optimization.

Title:
Quantized ADMM design for distributed strongly convex optimization.
Authors:
Yin, Xiaoqi1 (AUTHOR), Yu, Wenqiang1 (AUTHOR), Cheng, Songsong1 (AUTHOR) sscheng@ahu.edu.cn, He, Shuping1 (AUTHOR)
Source:
Transactions of the Institute of Measurement & Control. Mar2026, Vol. 48 Issue 5, p918-931. 14p.
Database:
Academic Search Index

*Further Information*

*This paper proposes a novel quantized alternating direction method of multipliers (ADMM) for distributed optimization problems where the strongly convex objective function contains smooth and non-smooth parts. When the objective function is strongly convex and smooth, we show that the proposed quantized ADMM converges to an exact solution with an R-linearly convergent rate. We also present that the proposed algorithm converges to a more accurate solution than that of existing optimization algorithms with a fixed quantization interval if the objective function is strongly convex and non-smooth. Moreover, the convergent performance and the computation complexity of the proposed algorithm are analyzed. Finally, we provide two numerical examples to illustrate the effectiveness of the proposed algorithm. [ABSTRACT FROM AUTHOR]*