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In Part I of this report, we introduced a Byzantine fault-tolerant distributed optimization problem whose goal is to optimize a sum of convex (cost) functions with real-valued scalar input/ouput. In this second part, we introduce a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-08 Lili Su , Nitin Vaidya

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

This work presents a new distributed Byzantine tolerant federated learning algorithm, HoldOut SGD, for Stochastic Gradient Descent (SGD) optimization. HoldOut SGD uses the well known machine learning technique of holdout estimation, in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-12 Shahar Azulay , Lior Raz , Amir Globerson , Tomer Koren , Yehuda Afek

This paper considers the policy evaluation problem in a multi-agent reinforcement learning (MARL) environment over decentralized and directed networks. The focus is on decentralized temporal difference (TD) learning with linear function…

Optimization and Control · Mathematics 2021-09-01 Zhaoxian Wu , Han Shen , Tianyi Chen , Qing Ling

The integration of edge computing in next-generation mobile networks is bringing low-latency and high-bandwidth ubiquitous connectivity to a myriad of cyber-physical systems. This will further boost the increasing intelligence that is being…

Robotics · Computer Science 2020-08-19 Wenshuai Zhao , Jorge Peña Queralta , Li Qingqing , Tomi Westerlund

In this paper, we study the problem of distributed training (DT) under Byzantine attacks with communication constraints. While prior work has developed various robust aggregation rules at the server to enhance robustness to Byzantine…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-01 Chengxi Li , Youssef Allouah , Rachid Guerraoui , Mikael Skoglund , Ming Xiao

Training of large scale models on distributed clusters is a critical component of the machine learning pipeline. However, this training can easily be made to fail if some workers behave in an adversarial (Byzantine) fashion whereby they…

Machine Learning · Computer Science 2021-03-05 Konstantinos Konstantinidis , Aditya Ramamoorthy

Privacy and Byzantine resilience (BR) are two crucial requirements of modern-day distributed machine learning. The two concepts have been extensively studied individually but the question of how to combine them effectively remains…

Machine Learning · Computer Science 2023-10-06 Rachid Guerraoui , Nirupam Gupta , Rafael Pinot , Sebastien Rouault , John Stephan

In this work, we consider the distributed stochastic optimization problem of minimizing a non-convex function $f(x) = \mathbb{E}_{\xi \sim \mathcal{D}} f(x; \xi)$ in an adversarial setting, where the individual functions $f(x; \xi)$ can…

Optimization and Control · Mathematics 2019-12-11 Prashant Khanduri , Saikiran Bulusu , Pranay Sharma , Pramod K. Varshney

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

Distributed algorithms provide flexibility over centralized algorithms for resource allocation problems, e.g., cyber-physical systems. However, the distributed nature of these algorithms often makes the systems susceptible to…

Optimization and Control · Mathematics 2019-09-11 Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh

Distributed learning has emerged as a leading paradigm for training large machine learning models. However, in real-world scenarios, participants may be unreliable or malicious, posing a significant challenge to the integrity and accuracy…

Machine Learning · Computer Science 2024-06-10 Grigory Malinovsky , Peter Richtárik , Samuel Horváth , Eduard Gorbunov

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

Motivated by the growing demand for serving large language model inference requests, we study distributed load balancing for global serving systems with network latencies. We consider a fluid model in which continuous flows of requests…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-16 Santiago R. Balseiro , Vahab S. Mirrokni , Bartek Wydrowski

This paper addresses the problem of combining Byzantine resilience with privacy in machine learning (ML). Specifically, we study if a distributed implementation of the renowned Stochastic Gradient Descent (SGD) learning algorithm is…

Machine Learning · Computer Science 2021-06-25 Rachid Guerraoui , Nirupam Gupta , Rafaël Pinot , Sébastien Rouault , John Stephan

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…

Information Theory · Computer Science 2025-07-23 Aayush Rajesh , Nikhil Karamchandani , Vinod M. Prabhakaran

In this paper, we propose a zeroth-order resilient distributed online algorithm for networks under Byzantine edge attacks. We assume that both the edges attacked by Byzantine adversaries and the objective function are time-varying.…

Optimization and Control · Mathematics 2025-11-10 Yuhang Liu , Wenjun Mei

This paper studies distributed online learning under Byzantine attacks. The performance of an online learning algorithm is often characterized by (adversarial) regret, which evaluates the quality of one-step-ahead decision-making when an…

Machine Learning · Computer Science 2023-12-06 Xingrong Dong , Zhaoxian Wu , Qing Ling , Zhi Tian

In this paper, we propose a class of robust stochastic subgradient methods for distributed learning from heterogeneous datasets at presence of an unknown number of Byzantine workers. The Byzantine workers, during the learning process, may…

Machine Learning · Computer Science 2019-11-12 Liping Li , Wei Xu , Tianyi Chen , Georgios B. Giannakis , Qing Ling

We study Byzantine fault-tolerant distributed optimization of a sum of convex (cost) functions with real-valued scalar input/ouput. In particular, the goal is to optimize a global cost function $\frac{1}{|\mathcal{N}|}\sum_{i\in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-03 Lili Su , Nitin Vaidya