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We introduce primal and dual stochastic gradient oracle methods for decentralized convex optimization problems. Both for primal and dual oracles, the proposed methods are optimal in terms of the number of communication steps. However, for…

Optimization and Control · Mathematics 2021-02-12 Darina Dvinskikh , Alexander Gasnikov

The distributed nonconvex optimization problem of minimizing a global cost function formed by a sum of $n$ local cost functions by using local information exchange is considered. This problem is an important component of many machine…

Optimization and Control · Mathematics 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

Overparameterized models have proven to be powerful tools for solving various machine learning tasks. However, overparameterization often leads to a substantial increase in computational and memory costs, which in turn requires extensive…

Machine Learning · Computer Science 2024-03-13 Soo Min Kwon , Zekai Zhang , Dogyoon Song , Laura Balzano , Qing Qu

We consider the task of decentralized minimization of the sum of smooth strongly convex functions stored across the nodes of a network. For this problem, lower bounds on the number of gradient computations and the number of communication…

Optimization and Control · Mathematics 2020-11-16 Dmitry Kovalev , Adil Salim , Peter Richtárik

In this paper we investigate how standard nonlinear programming algorithms can be used to solve constrained optimization problems in a distributed manner. The optimization setup consists of a set of agents interacting through a…

Optimization and Control · Mathematics 2017-07-18 Ion Matei , John S. Baras

We propose an efficient protocol for decentralized training of deep neural networks from distributed data sources. The proposed protocol allows to handle different phases of model training equally well and to quickly adapt to concept…

Machine Learning · Computer Science 2018-11-14 Michael Kamp , Linara Adilova , Joachim Sicking , Fabian Hüger , Peter Schlicht , Tim Wirtz , Stefan Wrobel

This paper considers a class of distributed bilevel optimization (DBO) problems with a coupled inner-level subproblem. Existing approaches typically rely on hypergradient estimations involving computationally expensive Hessian evaluation.…

Optimization and Control · Mathematics 2026-02-27 Youcheng Niu , Jinming Xu , Ying Sun , Li Chai , Jiming Chen

We propose a distributed accelerated primal-dual method with backtracking (D-APDB) for cooperative multi-agent constrained consensus optimization problems over an undirected network of agents, where only those agents connected by an edge…

Optimization and Control · Mathematics 2026-03-06 Qiushui Xu , Necdet Serhat Aybat , Mert Gürbüzbalaban

This paper studies Dictionary Learning problems wherein the learning task is distributed over a multi-agent network, modeled as a time-varying directed graph. This formulation is relevant, for instance, in Big Data scenarios where massive…

Optimization and Control · Mathematics 2019-03-06 Amir Daneshmand , Ying Sun , Gesualdo Scutari , Francisco Facchinei , Brian M. Sadler

In this note, we provide an overarching analysis of primal-dual dynamics associated to linear equality-constrained optimization problems using contraction analysis. For the well-known standard version of the problem: we establish…

Systems and Control · Electrical Eng. & Systems 2021-06-22 Pedro Cisneros-Velarde , Saber Jafarpour , Francesco Bullo

We propose a novel method for compressed sensing recovery using untrained deep generative models. Our method is based on the recently proposed Deep Image Prior (DIP), wherein the convolutional weights of the network are optimized to match…

This paper studies a distributed online convex optimization problem, where agents in an unbalanced network cooperatively minimize the sum of their time-varying local cost functions subject to a coupled inequality constraint. To solve this…

Optimization and Control · Mathematics 2023-09-06 Dandan Wang , Daokuan Zhu , Kin Cheong Sou , Jie Lu

We study a cache network in which intermediate nodes equipped with caches can serve requests. We model the problem of jointly optimizing caching and routing decisions with link capacity constraints over an arbitrary network topology. This…

Networking and Internet Architecture · Computer Science 2023-02-07 Yuanyuan Li , Yuchao Zhang , Stratis Ioannidis , Jon Crowcroft

This paper considers decentralized dynamic optimization problems where nodes of a network try to minimize a sequence of time-varying objective functions in a real-time scheme. At each time slot, nodes have access to different summands of an…

Optimization and Control · Mathematics 2016-03-29 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

Edge intelligence (EI) allows resource-constrained edge devices (EDs) to offload computation-intensive AI tasks (e.g., visual object detection) to edge servers (ESs) for fast execution. However, transmitting high-volume raw task data (e.g.,…

Information Theory · Computer Science 2026-02-24 Xian Li , Suzhi Bi , Ying-Jun Angela Zhang

In decentralized consensus optimization, a connected network of agents collaboratively minimize the sum of their local objective functions over a common decision variable, where their information exchange is restricted between the…

Optimization and Control · Mathematics 2015-06-16 Wei Shi , Qing Ling , Kun Yuan , Gang Wu , Wotao Yin

Deep neural networks (DNNs) have been quite successful in solving many complex learning problems. However, DNNs tend to have a large number of learning parameters, leading to a large memory and computation requirement. In this paper, we…

Machine Learning · Computer Science 2019-05-21 Sangkyun Lee , Jeonghyun Lee

To address the communication burden issues associated with federated learning (FL), decentralized federated learning (DFL) discards the central server and establishes a decentralized communication network, where each client communicates…

Machine Learning · Computer Science 2023-08-17 Qinglun Li , Li Shen , Guanghao Li , Quanjun Yin , Dacheng Tao

In this paper, we propose a communication- and computation-efficient algorithm to solve a convex consensus optimization problem defined over a decentralized network. A remarkable existing algorithm to solve this problem is the alternating…

Optimization and Control · Mathematics 2020-04-09 Weiyu Li , Yaohua Liu , Zhi Tian , Qing Ling

We introduce a constrained optimization framework for training transformers that behave like optimization descent algorithms. Specifically, we enforce layerwise descent constraints on the objective function and replace standard empirical…

Machine Learning · Computer Science 2026-01-27 Javier Porras-Valenzuela , Samar Hadou , Alejandro Ribeiro
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