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相关论文: Optimal Complexity in Byzantine-Robust Distributed…

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Byzantine agreement is a fundamental problem in fault-tolerant distributed networks that has been studied intensively for the last four decades. Most of these works designed protocols for complete networks. A key goal in Byzantine protocols…

分布式、并行与集群计算 · 计算机科学 2024-10-29 John Augustine , Fabien Dufoulon , Gopal Pandurangan

We introduce a new approach to develop stochastic optimization algorithms for a class of stochastic composite and possibly nonconvex optimization problems. The main idea is to combine two stochastic estimators to create a new hybrid one. We…

最优化与控制 · 数学 2020-05-05 Quoc Tran-Dinh , Nhan H. Pham , Dzung T. Phan , Lam M. Nguyen

In this paper, we study the optimal convergence rate for distributed convex optimization problems in networks. We model the communication restrictions imposed by the network as a set of affine constraints and provide optimal complexity…

最优化与控制 · 数学 2018-11-16 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

Byzantine attacks present a critical challenge to Federated Learning (FL), where malicious participants can disrupt the training process, degrade model accuracy, and compromise system reliability. Traditional FL frameworks typically rely on…

机器学习 · 计算机科学 2025-03-17 Yufei Xia , Wenrui Yu , Qiongxiu Li

Due to the use of commodity software and hardware, crash-stop and Byzantine failures are likely to be more prevalent in today's large-scale distributed storage systems. Regenerating codes have been shown to be a more efficient way to…

信息论 · 计算机科学 2011-08-22 Yunghsiang S. Han , Rong Zheng , Wai Ho Mow

We study local complexity measures for stochastic convex optimization problems, providing a local minimax theory analogous to that of H\'{a}jek and Le Cam for classical statistical problems. We give complementary optimality results,…

统计理论 · 数学 2019-06-05 John Duchi , Feng Ruan

Distributed stochastic optimization has drawn great attention recently due to its effectiveness in solving large-scale machine learning problems. Though numerous algorithms have been proposed and successfully applied to general practical…

最优化与控制 · 数学 2023-12-15 Kun Huang , Xiao Li , Shi Pu

This paper considers the problem of detection in distributed networks in the presence of data falsification (Byzantine) attacks. Detection approaches considered in the paper are based on fully distributed consensus algorithms, where all of…

系统与控制 · 计算机科学 2017-09-29 Bhavya Kailkhura , Swastik Brahma , Pramod K. Varshney

We study the problem of non-constrained, discrete-time, online distributed optimization in a multi-agent system where some of the agents do not follow the prescribed update rule either due to failures or malicious intentions. None of the…

最优化与控制 · 数学 2022-04-12 Sourav Sahoo , Anand Gokhale , Rachel Kalpana Kalaimani

How to achieve precise distributed optimization despite unknown attacks, especially the Byzantine attacks, is one of the critical challenges for multiagent systems. This paper addresses a distributed resilient optimization for linear…

系统与控制 · 电气工程与系统科学 2024-10-18 Chenhang Yan , Liping Yan , Yuezu Lv , Bolei Dong , Yuanqing Xia

To defend against Byzantine attacks in decentralized learning, most existing methods rely on robust aggregation rules to mitigate the influence of malicious machines. However, these strategies inherently introduce bias, leading to inexact…

统计方法学 · 统计学 2026-04-20 Siyuan Zhang , Chengde Qian , Xin Liu , Changliang Zou

In this paper, we propose a multilevel stochastic framework for the solution of nonconvex unconstrained optimization problems. The proposed approach uses random regularized first-order models that exploit an available hierarchical…

最优化与控制 · 数学 2025-11-27 Filippo Marini , Margherita Porcelli , Elisa Riccietti

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

This paper considers distributed optimization problems, where each agent cooperatively minimizes the sum of local objective functions through the communication with its neighbors. The widely adopted distributed gradient method in solving…

最优化与控制 · 数学 2025-08-19 Yeming Xu , Ziyuan Guo , Kaihong Lu , Huanshui Zhang

Byzantine agreement is a fundamental problem in fault-tolerant distributed computing that has been studied intensively for the last four decades. Much of the research has focused on a static Byzantine adversary, where the adversary is…

分布式、并行与集群计算 · 计算机科学 2025-06-06 Fabien Dufoulon , Gopal Pandurangan

We study the fundamental problem of counting the number of nodes in a sparse network (of unknown size) under the presence of a large number of Byzantine nodes. We assume the full information model where the Byzantine nodes have complete…

分布式、并行与集群计算 · 计算机科学 2021-02-19 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

We consider distributed stochastic optimization problems that are solved with master/workers computation architecture. Statistical arguments allow to exploit statistical similarity and approximate this problem by a finite-sum problem, for…

We develop a distributed algorithm for convex Empirical Risk Minimization, the problem of minimizing large but finite sum of convex functions over networks. The proposed algorithm is derived from directly discretizing the second-order…

最优化与控制 · 数学 2018-11-07 Jingzhao Zhang , César A. Uribe , Aryan Mokhtari , Ali Jadbabaie

We study a distributed computation problem in the presence of Byzantine workers where a central node wishes to solve a task that is divided into independent sub-tasks, each of which needs to be solved correctly. The distributed computation…

信息论 · 计算机科学 2025-07-23 Aayush Rajesh , Nikhil Karamchandani , Vinod M. Prabhakaran

Robust distributed learning algorithms aim to maintain reliable performance despite the presence of misbehaving workers. Such misbehaviors are commonly modeled as Byzantine failures, allowing arbitrarily corrupted communication, or as data…

机器学习 · 计算机科学 2025-10-17 Thomas Boudou , Batiste Le Bars , Nirupam Gupta , Aurélien Bellet