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Top-k sparsification has recently been widely used to reduce the communication volume in distributed deep learning. However, due to the Sparse Gradient Accumulation (SGA) dilemma, the performance of top-k sparsification still has…

Machine Learning · Computer Science 2024-02-26 Minjun Zhao , Yichen Yin , Yuren Mao , Qing Liu , Lu Chen , Yunjun Gao

We consider stochastic strongly-convex-strongly-concave (SCSC) saddle point (SP) problems which frequently arise in applications ranging from distributionally robust learning to game theory and fairness in machine learning. We focus on the…

Optimization and Control · Mathematics 2023-07-17 Yassine Laguel , Necdet Serhat Aybat , Mert Gürbüzbalaban

In distributed machine learning, efficient training across multiple agents with different data distributions poses significant challenges. Even with a centralized coordinator, current algorithms that achieve optimal communication complexity…

Machine Learning · Computer Science 2024-08-13 Junchi Yang , Murat Yildirim , Qiu Feng

We study a class of distributed optimization algorithms that aim to alleviate high communication costs by allowing clients to perform multiple local gradient-type training steps before communication. In a recent breakthrough, Mishchenko et…

Machine Learning · Computer Science 2025-06-11 Artavazd Maranjyan , Mher Safaryan , Peter Richtárik

In this thesis, I study the minimax oracle complexity of distributed stochastic optimization. First, I present the "graph oracle model", an extension of the classic oracle complexity framework that can be applied to study distributed…

Optimization and Control · Mathematics 2021-09-03 Blake Woodworth

Minimax optimization problems have attracted significant attention in recent years due to their widespread application in numerous machine learning models. To solve the minimax problem, a wide variety of stochastic optimization methods have…

Machine Learning · Computer Science 2024-06-12 Hongchang Gao

Split learning is a promising privacy-preserving distributed learning scheme that has low computation requirement at the edge device but has the disadvantage of high communication overhead between edge device and server. To reduce the…

Machine Learning · Computer Science 2022-03-10 Xing Chen , Jingtao Li , Chaitali Chakrabarti

We study solution methods for (strongly-)convex-(strongly)-concave Saddle-Point Problems (SPPs) over networks of two type - master/workers (thus centralized) architectures and meshed (thus decentralized) networks. The local functions at…

Optimization and Control · Mathematics 2022-08-23 Aleksandr Beznosikov , Gesualdo Scutari , Alexander Rogozin , Alexander Gasnikov

We present a hybrid systems framework for multi-agent optimization in which agents execute computations in continuous time and communicate in discrete time. The optimization algorithm is a hybrid version of parallelized coordinate descent.…

Optimization and Control · Mathematics 2021-10-04 Katherine Hendrickson , Dawn Hustig-Schultz , Matthew Hale , Ricardo G. Sanfelice

Distributed optimization has gained a surge of interest in recent years. In this paper we propose a distributed projection free algorithm named Distributed Conditional Gradient Sliding(DCGS). Compared to the state-of-the-art distributed…

Optimization and Control · Mathematics 2018-05-22 Yan Li , Chao Qu , Huan Xu

A wider selection of step sizes is explored for the distributed subgradient algorithm for multi-agent optimization problems, for both time-invariant and time-varying communication topologies. The square summable requirement of the step…

Optimization and Control · Mathematics 2016-02-02 Peng Wang , Wei Ren

This paper aims to address distributed optimization problems over directed and time-varying networks, where the global objective function consists of a sum of locally accessible convex objective functions subject to a feasible set…

Optimization and Control · Mathematics 2020-07-14 Xiuxian Li , Gang Feng , Lihua Xie

We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

Optimization and Control · Mathematics 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

We propose a novel algorithm for solving convex, constrained and distributed optimization problems defined on multi-agent-networks, where each agent has exclusive access to a part of the global objective function. The agents are able to…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

Driven by the need to solve increasingly complex optimization problems in signal processing and machine learning, there has been increasing interest in understanding the behavior of gradient-descent algorithms in non-convex environments.…

Optimization and Control · Mathematics 2019-07-04 Stefan Vlaski , Ali H. Sayed

We study differentially private distributed optimization under communication constraints. A server using SGD for optimization aggregates the client-side local gradients for model updates using distributed mean estimation (DME). We develop a…

Machine Learning · Computer Science 2023-02-23 Antonious M. Girgis , Suhas Diggavi

Variational inequalities in general and saddle point problems in particular are increasingly relevant in machine learning applications, including adversarial learning, GANs, transport and robust optimization. With increasing data and…

Machine Learning · Computer Science 2023-04-04 Aleksandr Beznosikov , Peter Richtárik , Michael Diskin , Max Ryabinin , Alexander Gasnikov

Federated learning (FL) enables the training of a model leveraging decentralized data in client sites while preserving privacy by not collecting data. However, one of the significant challenges of FL is limited computation and low…

Machine Learning · Computer Science 2023-04-18 Riyasat Ohib , Bishal Thapaliya , Pratyush Gaggenapalli , Jingyu Liu , Vince Calhoun , Sergey Plis

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2020-07-28 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

The paper studies the distributed stochastic compositional optimization problems over networks, where all the agents' inner-level function is the sum of each agent's private expectation function. Focusing on the aggregative structure of the…

Optimization and Control · Mathematics 2022-11-10 Shengchao Zhao , Yongchao Liu
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