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The primal-dual distributed optimization methods have broad large-scale machine learning applications. Previous primal-dual distributed methods are not applicable when the dual formulation is not available, e.g. the sum-of-non-convex…

Machine Learning · Computer Science 2017-10-30 Zhouyuan Huo , Heng Huang

With the increasing demand for large-scale training of machine learning models, consensus-based distributed optimization methods have recently been advocated as alternatives to the popular parameter server framework. In this paradigm, each…

Machine Learning · Computer Science 2021-02-15 Guojun Xiong , Gang Yan , Rahul Singh , Jian Li

Optimal transport has been used extensively in resource matching to promote the efficiency of resources usages by matching sources to targets. However, it requires a significant amount of computations and storage spaces for large-scale…

Optimization and Control · Mathematics 2019-04-10 Rui Zhang , Quanyan Zhu

In distributed computing systems with stragglers, various forms of redundancy can improve the average delay performance. We study the optimal replication of data in systems where the job execution time is a stochastically decreasing and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-01 Amir Behrouzi-Far , Emina Soljanin

This paper addresses a class of constrained optimization problems over networks in which local cost functions and constraints can be nonconvex. We propose an asynchronous distributed optimization algorithm, relying on the centralized Method…

Optimization and Control · Mathematics 2018-12-11 Francesco Farina , Andrea Garulli , Antonio Giannitrapani , Giuseppe Notarstefano

Decentralized optimization is well studied for smooth unconstrained problems. However, constrained problems or problems with composite terms are an open direction for research. We study structured (or composite) optimization problems, where…

Optimization and Control · Mathematics 2023-04-10 Alexander Rogozin , Anton Novitskii , Alexander Gasnikov

We study distributed convex optimization with two ubiquitous forms of coupling: consensus constraints and global affine equalities. We first design a linearized method of multipliers for the consensus optimization problem. Without…

Optimization and Control · Mathematics 2025-11-26 Chenyang Qiu , Zongli Lin

Distributed optimization algorithms have been studied extensively in the literature; however, underlying most algorithms is a linear consensus scheme, i.e. averaging variables from neighbors via doubly stochastic matrices. We consider…

Optimization and Control · Mathematics 2023-03-14 Hsu Kao , Vijay Subramanian

We consider distributed convex optimization problems that involve a separable objective function and nontrivial functional constraints, such as Linear Matrix Inequalities (LMIs). We propose a decentralized and computationally inexpensive…

Optimization and Control · Mathematics 2018-01-22 Soomin Lee , Michael M. Zavlanos

Coded distributed computing framework enables large-scale machine learning (ML) models to be trained efficiently in a distributed manner, while mitigating the straggler effect. In this work, we consider a multi-task assignment problem in a…

Information Theory · Computer Science 2019-05-21 Yuxuan Sun , Junlin Zhao , Sheng Zhou , Deniz Gündüz

Stochastic variance reduced methods have gained a lot of interest recently for empirical risk minimization due to its appealing run time complexity. When the data size is large and disjointly stored on different machines, it becomes…

Machine Learning · Computer Science 2020-08-26 Shicong Cen , Huishuai Zhang , Yuejie Chi , Wei Chen , Tie-Yan Liu

Distributed consensus optimization has received considerable attention in recent years; several distributed consensus-based algorithms have been proposed for (nonsmooth) convex and (smooth) nonconvex objective functions. However, the…

Optimization and Control · Mathematics 2019-11-05 Vyacheslav Kungurtsev

Consider the estimation of an unknown parameter vector in a linear measurement model. Centralized sensor selection consists in selecting a set of k_s sensor measurements, from a total number of m potential measurements. The performance of…

Information Theory · Computer Science 2012-08-07 Fabian Altenbach , Steven Corroy , Georg Böcherer , Rudolf Mathar

In distributed machine learning, a central node outsources computationally expensive calculations to external worker nodes. The properties of optimization procedures like stochastic gradient descent (SGD) can be leveraged to mitigate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-19 Maximilian Egger , Serge Kas Hanna , Rawad Bitar

Master-worker distributed computing systems use task replication in order to mitigate the effect of slow workers, known as stragglers. Tasks are grouped into batches and assigned to one or more workers for execution. We first consider the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-29 Amir Behrouzi-Far , Emina Soljanin

Distributed computing enables large-scale computation tasks to be processed over multiple workers in parallel. However, the randomness of communication and computation delays across workers causes the straggler effect, which may degrade the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-20 Yuxuan Sun , Fan Zhang , Junlin Zhao , Sheng Zhou , Zhisheng Niu , Deniz Gündüz

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 2021-08-23 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

In this work, we first consider distributed convex constrained optimization problems where the objective function is encoded by multiple local and possibly nonsmooth objectives privately held by a group of agents, and propose a distributed…

Optimization and Control · Mathematics 2020-02-20 Changxin Liu , Huiping Li , Yang Shi

This paper presents a fully asynchronous and distributed approach for tackling optimization problems in which both the objective function and the constraints may be nonconvex. In the considered network setting each node is active upon…

Optimization and Control · Mathematics 2019-02-25 Francesco Farina , Andrea Garulli , Antonio Giannitrapani , Giuseppe Notarstefano

In this paper, we propose an optimally structured gradient coding scheme to mitigate the straggler problem in distributed learning. Conventional gradient coding methods often assume homogeneous straggler models or rely on excessive data…

Systems and Control · Electrical Eng. & Systems 2025-10-28 Heekang Song , Wan Choi
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