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Related papers: Byzantine Multi-Agent Optimization: Part I

200 papers

We consider a class of popular distributed non-convex optimization problems, in which agents connected by a network $\mathcal{G}$ collectively optimize a sum of smooth (possibly non-convex) local objective functions. We address the…

Optimization and Control · Mathematics 2020-01-08 Haoran Sun , Mingyi Hong

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…

Systems and Control · Electrical Eng. & Systems 2024-10-18 Chenhang Yan , Liping Yan , Yuezu Lv , Bolei Dong , Yuanqing Xia

A general nonlinear $1$st-order consensus-based solution for distributed constrained convex optimization is proposed with network resource allocation applications. The solution is used to optimize continuously-differentiable strictly convex…

Systems and Control · Electrical Eng. & Systems 2021-11-22 Mohammadreza Doostmohammadian , Alireza Aghasi , Maria Vrakopoulou , Themistoklis Charalambous

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…

Machine Learning · Statistics 2023-06-02 Zhixu Tao , Kun Yang , Sanjeev R. Kulkarni

Consider an asynchronous system where each node begins with some point in $\mathbb{R}^m$. Given some fixed $\epsilon > 0$, we wish to have every nonfaulty node eventually output a point in $\mathbb{R}^m$, where all outputs are within…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-07 Maya Dotan , Gilad Stern , Aviv Zohar

Collaboration among multiple large language model (LLM) agents is a promising approach to overcome inherent limitations of single-agent systems, such as hallucinations and single points of failure. As LLM agents are increasingly deployed on…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-22 Yongrae Jo , Chanik Park

Recent advances in generative AI have enabled sophisticated multi-agent architectures for healthcare, where large language models power collaborative clinical decision-making. However, these distributed systems face critical challenges in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-23 Nihir Chadderwala

In a recent paper, Jaggi et al. (INFOCOM 2007), presented a distributed polynomial-time rate-optimal network-coding scheme that works in the presence of Byzantine faults. We revisit their adversarial models and augment them with three,…

Information Theory · Computer Science 2008-02-06 Leah Nutman , Michael Langberg

A Latin square is an $n \times n$ matrix filled with $n$ distinct symbols, each of which appears exactly once in each row and exactly once in each column. We introduce a problem of allocating $n$ indivisible items among $n$ agents over $n$…

Computer Science and Game Theory · Computer Science 2025-01-14 Yasushi Kawase , Bodhayan Roy , Mohammad Azharuddin Sanpui

Byzantine robustness has received significant attention recently given its importance for distributed and federated learning. In spite of this, we identify severe flaws in existing algorithms even when the data across the participants is…

Machine Learning · Computer Science 2021-06-30 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

We analyze the impact of transient and Byzantine faults on the construction of a maximal independent set in a general network. We adapt the self-stabilizing algorithm presented by Turau `for computing such a vertex set. Our algorithm is…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-11 Johanne Cohen , Laurence Pilard , François Pirot , Jonas Sénizergues

In this report, we investigate the multi-valued Byzantine consensus problem. We introduce two algorithms: the first one achieves traditional validity requirement for consensus, and the second one achieves a stronger "q-validity"…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-10 Guanfeng Liang , Nitin Vaidya

In this paper, we consider a stochastic distributed nonconvex optimization problem with the cost function being distributed over $n$ agents having access only to zeroth-order (ZO) information of the cost. This problem has various machine…

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

This paper fully studies distributed optimal consensus problem in non-directed dynamical networks. We consider a group of networked agents that are supposed to rendezvous at the optimal point of a collective convex objective function. Each…

Optimization and Control · Mathematics 2017-12-22 Amir Adibzadeh , Amir A. Suratgar , Mohammad B. Menhaja , Mohsen Zamani

In this paper, we investigate the problem of decentralized online resource allocation in the presence of Byzantine attacks. In this problem setting, some agents may be compromised due to external manipulations or internal failures, causing…

Optimization and Control · Mathematics 2026-05-27 Runhua Wang , Qing Ling , Hoi-To Wai , Zhi Tian

This paper studies a distributed multi-agent convex optimization problem. The system comprises multiple agents in this problem, each with a set of local data points and an associated local cost function. The agents are connected to a…

Optimization and Control · Mathematics 2021-08-20 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

We consider distributed optimization under Byzantine attacks in the presence of $(L_0,L_1)$-smoothness, a generalization of standard $L$-smoothness that captures functions with state-dependent gradient Lipschitz constants. We propose…

Machine Learning · Computer Science 2026-03-16 Arman Bolatov , Samuel Horváth , Martin Takáč , Eduard Gorbunov

In this paper, we study the problem of \emph{Byzantine Agreement with predictions}. Along with a proposal, each process is also given a prediction, i.e., extra information which is not guaranteed to be true. For example, one might imagine…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Naama Ben-David , Muhammad Ayaz Dzulfikar , Faith Ellen , Seth Gilbert

We consider a multi-agent framework for distributed optimization where each agent has access to a local smooth strongly convex function, and the collective goal is to achieve consensus on the parameters that minimize the sum of the agents'…

Multiagent Systems · Computer Science 2020-04-23 Mahmoud Assran , Michael Rabbat

We provide an epistemic logical language and semantics for the modeling and analysis of byzantine fault-tolerant multi-agent systems. This not only facilitates reasoning about the agents' fault status but also supports model updates for…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-03 Hans van Ditmarsch , Krisztina Fruzsa , Roman Kuznets , Ulrich Schmid