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In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

最优化与控制 · 数学 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

We consider distributed optimization as motivated by machine learning in a multi-agent system: each agent holds local data and the goal is to minimize an aggregate loss function over a common model, via an interplay of local training and…

最优化与控制 · 数学 2025-04-08 Dingran Yi , Fanhao Zeng , Nikolaos M. Freris

This article presents a second-order fully distributed optimization algorithm, HBNET-GIANT, driven by heavy-ball momentum, for $L$-smooth and $\mu$-strongly convex objective functions. A rigorous convergence analysis is performed, and we…

最优化与控制 · 数学 2025-11-18 Souvik Das , Luca Schenato , Subhrakanti Dey

In distributed optimization and learning, several machines alternate between local computations in parallel and communication with a distant server. Communication is usually slow and costly and forms the main bottleneck. This is…

机器学习 · 计算机科学 2024-04-30 Laurent Condat , Ivan Agarský , Grigory Malinovsky , Peter Richtárik

Byzantine Agreement is a key component in many distributed systems. While Dolev and Reischuk have proven a long time ago that quadratic communication complexity is necessary for worst-case runs, the question of what can be done in…

分布式、并行与集群计算 · 计算机科学 2024-01-12 Shir Cohen , Idit Keidar , Alexander Spiegelman

This paper focuses on the problem of adversarial attacks from Byzantine machines in a Federated Learning setting where non-Byzantine machines can be partitioned into disjoint clusters. In this setting, non-Byzantine machines in the same…

机器学习 · 统计学 2023-06-02 Zhixu Tao , Kun Yang , Sanjeev R. Kulkarni

In this paper, we investigate the challenging framework of Byzantine-robust training in distributed machine learning (ML) systems, focusing on enhancing both efficiency and practicality. As distributed ML systems become integral for complex…

机器学习 · 计算机科学 2024-09-04 Tehila Dahan , Kfir Y. Levy

We propose and analyze a stochastic Newton algorithm for homogeneous distributed stochastic convex optimization, where each machine can calculate stochastic gradients of the same population objective, as well as stochastic Hessian-vector…

最优化与控制 · 数学 2021-10-08 Brian Bullins , Kumar Kshitij Patel , Ohad Shamir , Nathan Srebro , Blake Woodworth

Despite their high computation and communication costs, Newton-type methods remain an appealing option for distributed training due to their robustness against ill-conditioned convex problems. In this work, we study ommunication compression…

机器学习 · 计算机科学 2022-06-09 Rustem Islamov , Xun Qian , Slavomír Hanzely , Mher Safaryan , Peter Richtárik

We present a distributed algorithm that enables a group of robots to collaboratively optimize the parameters of a deep neural network model while communicating over a mesh network. Each robot only has access to its own data and maintains…

机器人学 · 计算机科学 2022-01-25 Javier Yu , Joseph A. Vincent , Mac Schwager

The Byzantine distributed quickest change detection (BDQCD) is studied, where a fusion center monitors the occurrence of an abrupt event through a bunch of distributed sensors that may be compromised. We first consider the binary hypothesis…

信息论 · 计算机科学 2019-09-09 Yu-Chih Huang , Yu-Jui Huang , Shih-Chun Lin

The recent advances in sensor technologies and smart devices enable the collaborative collection of a sheer volume of data from multiple information sources. As a promising tool to efficiently extract useful information from such big data,…

机器学习 · 计算机科学 2019-03-08 Richeng Jin , Xiaofan He , Huaiyu Dai

In this paper, a fully distributed averaging algorithm in the presence of adversarial Byzantine agents is proposed. The algorithm is based on a resilient retrieval procedure, where all non-Byzantine nodes send their own initial values and…

多智能体系统 · 计算机科学 2021-07-28 Mostafa Safi , Seyed Mehran Dibaji

We examine fundamental tradeoffs in iterative distributed zeroth and first order stochastic optimization in multi-agent networks in terms of \emph{communication cost} (number of per-node transmissions) and \emph{computational cost},…

最优化与控制 · 数学 2018-09-11 Anit Kumar Sahu , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

In distributed optimization and machine learning, multiple nodes coordinate to solve large problems. To do this, the nodes need to compress important algorithm information to bits so that it can be communicated over a digital channel. The…

最优化与控制 · 数学 2020-12-02 Sindri Magnússon , Hossein Shokri-Ghadikolaei , Na Li

Given a set of robots with arbitrary initial location and no agreement on a global coordinate system, convergence requires that all robots asymptotically approach the exact same, but unknown beforehand, location. Robots are oblivious-- they…

分布式、并行与集群计算 · 计算机科学 2009-05-26 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

This paper proposes a Robust One-Step Estimator(ROSE) to solve the Byzantine failure problem in distributed M-estimation when a moderate fraction of node machines experience Byzantine failures. To define ROSE, the algorithms use the robust…

统计理论 · 数学 2023-07-18 Chuhan Wang , Xuehu Zhu , Lixing Zhu

This paper considers distributed online nonconvex optimization with time-varying inequality constraints over a network of agents, where the nonconvex local loss and convex local constraint functions can vary arbitrarily across iterations.…

最优化与控制 · 数学 2025-11-19 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Ming Cao , Karl H. Johansson , Tianyou Chai , Tao Yang

Due to the substantial computational cost, training state-of-the-art deep neural networks for large-scale datasets often requires distributed training using multiple computation workers. However, by nature, workers need to frequently…

机器学习 · 计算机科学 2018-02-21 Yusuke Tsuzuku , Hiroto Imachi , Takuya Akiba

In this work we focus our attention on distributed optimization problems in the context where the communication time between the server and the workers is non-negligible. We obtain novel methods supporting bidirectional compression (both…

最优化与控制 · 数学 2023-05-23 Kaja Gruntkowska , Alexander Tyurin , Peter Richtárik