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Randomized matrix compression techniques, such as the Johnson-Lindenstrauss transform, have emerged as an effective and practical way for solving large-scale problems efficiently. With a focus on computational efficiency, however, forsaking…

Machine Learning · Statistics 2015-10-19 Stephen Becker , Ban Kawas , Marek Petrik , Karthikeyan N. Ramamurthy

This paper focuses on decentralized composite optimization over networks without a central coordinator. We propose a novel decentralized symmetric ADMM algorithm that incorporates multiple communication rounds within each iteration, derived…

Optimization and Control · Mathematics 2026-03-06 Jinrui Huang , Xueqin Wang , Dong Liu , Jingguo Lan , Runxiong Wu

This paper studies the distributed optimization problem over directed networks with noisy information-sharing. To resolve the imperfect communication issue over directed networks, a series of noise-robust variants of Push-Pull/AB method…

Optimization and Control · Mathematics 2023-07-28 Shengchao Zhao , Siyuan Song , Yongchao Liu

The linear speedup property is essential for demonstrating the advantage of distributed algorithms over their single-node counterparts. In this paper, we study the stochastic Push-Pull method, a widely adopted decentralized optimization…

Optimization and Control · Mathematics 2025-09-24 Liyuan Liang , Gan Luo , Kun Yuan

Decentralized optimization methods with local updates have recently gained attention for their provable ability to communication acceleration. In these methods, nodes perform several iterations of local computations between the…

Optimization and Control · Mathematics 2025-09-30 Luyao Guo , Luqing Wang , Xinli Shi , Jinde Cao

This paper focuses on a distributed coupled constrained convex optimization problem over directed unbalanced and time-varying multi-agent networks, where the global objective function is the sum of all agents' private local objective…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang

Optimizing distributed learning systems is an art of balancing between computation and communication. There have been two lines of research that try to deal with slower networks: {\em communication compression} for low bandwidth networks,…

Machine Learning · Computer Science 2019-02-04 Hanlin Tang , Shaoduo Gan , Ce Zhang , Tong Zhang , Ji Liu

Communication compression is an essential strategy for alleviating communication overhead by reducing the volume of information exchanged between computing nodes in large-scale distributed stochastic optimization. Although numerous…

Machine Learning · Computer Science 2025-03-19 Yutong He , Xinmeng Huang , Yiming Chen , Wotao Yin , Kun Yuan

Lossy gradient compression has become a practical tool to overcome the communication bottleneck in centrally coordinated distributed training of machine learning models. However, algorithms for decentralized training with compressed…

Machine Learning · Computer Science 2020-10-20 Thijs Vogels , Sai Praneeth Karimireddy , Martin Jaggi

We consider distributed nonconvex optimization over an undirected network, where each node privately possesses its local objective and communicates exclusively with its neighboring nodes, striving to collectively achieve a common optimal…

Optimization and Control · Mathematics 2026-03-11 Zichong Ou , Jie Lu

We propose conformal predictive programming (CPP), a framework to solve chance constrained optimization problems, i.e., optimization problems with constraints that are functions of random variables. CPP utilizes samples from these random…

Systems and Control · Electrical Eng. & Systems 2025-05-06 Yiqi Zhao , Xinyi Yu , Matteo Sesia , Jyotirmoy V. Deshmukh , Lars Lindemann

Decentralized optimization is effective to save communication in large-scale machine learning. Although numerous algorithms have been proposed with theoretical guarantees and empirical successes, the performance limits in decentralized…

Machine Learning · Computer Science 2022-10-17 Kun Yuan , Xinmeng Huang , Yiming Chen , Xiaohan Zhang , Yingya Zhang , Pan Pan

Pipeline-parallel distributed optimization is essential for large-scale machine learning but is challenged by significant communication overhead from transmitting high-dimensional activations and gradients between workers. Existing…

Optimization and Control · Mathematics 2025-09-24 Boao Kong , Xu Huang , Yuqi Xu , Yixuan Liang , Bin Wang , Kun Yuan

We propose Adaptive Compressed Gradient Descent (AdaCGD) - a novel optimization algorithm for communication-efficient training of supervised machine learning models with adaptive compression level. Our approach is inspired by the recently…

Machine Learning · Computer Science 2022-11-02 Maksim Makarenko , Elnur Gasanov , Rustem Islamov , Abdurakhmon Sadiev , Peter Richtarik

In this paper, a decentralized proximal method of multipliers (DPMM) is proposed to solve constrained convex optimization problems over multi-agent networks, where the local objective of each agent is a general closed convex function, and…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang

Unstructured neural network pruning algorithms have achieved impressive compression rates. However, the resulting - typically irregular - sparse matrices hamper efficient hardware implementations, leading to additional memory usage and…

In this paper, we propose a Differentially Private Stochastic Gradient Push with Compressed communication (termed DP-CSGP) for decentralized learning over directed graphs. Different from existing works, the proposed algorithm is designed to…

Machine Learning · Computer Science 2025-12-16 Zehan Zhu , Heng Zhao , Yan Huang , Joey Tianyi Zhou , Shouling Ji , Jinming Xu

Communication efficiency has garnered significant attention as it is considered the main bottleneck for large-scale decentralized Machine Learning applications in distributed and federated settings. In this regime, clients are restricted to…

Machine Learning · Computer Science 2024-11-26 Rustem Islamov , Yuan Gao , Sebastian U. Stich

We propose decentralized primal-dual methods for cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the…

Optimization and Control · Mathematics 2022-02-23 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

Many applications using large datasets require efficient methods for minimizing a proximable convex function subject to satisfying a set of linear constraints within a specified tolerance. For this task, we present a proximal projection…

Optimization and Control · Mathematics 2024-12-10 Howard Heaton