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This paper considers the problem of resilient distributed optimization and stochastic machine learning in a server-based architecture. The system comprises a server and multiple agents, where each agent has a local cost function. The agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-22 Shuo Liu , Nirupam Gupta , Nitin Vaidya

We study fault-tolerant distributed optimization of a sum of convex (cost) functions with real-valued scalar input/output in the presence of crash faults or Byzantine faults. In particular, the goal is to optimize a global cost function…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-09-08 Lili Su , Nitin Vaidya

Recent years have witnessed a growing interest in the topic of min-max optimization, owing to its relevance in the context of generative adversarial networks (GANs), robust control and optimization, and reinforcement learning. Motivated by…

Machine Learning · Computer Science 2022-04-08 Arman Adibi , Aritra Mitra , George J. Pappas , Hamed Hassani

Federated learning is a newly emerging distributed learning framework that facilitates the collaborative training of a shared global model among distributed participants with their privacy preserved. However, federated learning systems are…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-14 Minghui Li , Wei Wan , Jianrong Lu , Shengshan Hu , Junyu Shi , Leo Yu Zhang , Man Zhou , Yifeng Zheng

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

We study stochastic gradient descent (SGD) with local iterations in the presence of malicious/Byzantine clients, motivated by the federated learning. The clients, instead of communicating with the central server in every iteration, maintain…

Machine Learning · Statistics 2020-08-18 Deepesh Data , Suhas Diggavi

In this paper, we consider the Byzantine-robust stochastic optimization problem defined over decentralized static and time-varying networks, where the agents collaboratively minimize the summation of expectations of stochastic local cost…

Optimization and Control · Mathematics 2020-12-21 Jie Peng , Weiyu Li , Qing Ling

Distributed machine learning algorithms enable learning of models from datasets that are distributed over a network without gathering the data at a centralized location. While efficient distributed algorithms have been developed under the…

Machine Learning · Computer Science 2020-07-07 Zhixiong Yang , Waheed U. Bajwa

Standard federated learning algorithms are vulnerable to adversarial nodes, a.k.a. Byzantine failures. To solve this issue, robust distributed learning algorithms have been developed, which typically replace parameter averaging by robust…

Machine Learning · Computer Science 2026-02-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx

In this paper, we propose a robust aggregation method for federated learning (FL) that can effectively tackle malicious Byzantine attacks. At each user, model parameter is firstly updated by multiple steps, which is adjustable over…

Machine Learning · Computer Science 2023-08-22 Shiyuan Zuo , Rongfei Fan , Han Hu , Ning Zhang , Shimin Gong

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

This report considers the problem of Byzantine fault-tolerance in multi-agent collaborative optimization. In this problem, each agent has a local cost function. The goal of a collaborative optimization algorithm is to compute a minimum of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-01 Nirupam Gupta , Nitin H. Vaidya

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…

Optimization and Control · Mathematics 2022-04-12 Sourav Sahoo , Anand Gokhale , Rachel Kalpana Kalaimani

Federated Learning (FL) enables clients to collaboratively train a global model without sharing their private data. However, the presence of malicious (Byzantine) clients poses significant challenges to the robustness of FL, particularly…

Machine Learning · Computer Science 2026-05-26 Javad Parsa , Amir Hossein Daghestani , André M. H. Teixeira , Mikael Johansson

In large-scale distributed learning, security issues have become increasingly important. Particularly in a decentralized environment, some computing units may behave abnormally, or even exhibit Byzantine failures -- arbitrary and…

Machine Learning · Computer Science 2021-02-26 Dong Yin , Yudong Chen , Kannan Ramchandran , Peter Bartlett

The problem of distributed optimization requires a group of networked agents to compute a parameter that minimizes the average of their local cost functions. While there are a variety of distributed optimization algorithms that can solve…

Multiagent Systems · Computer Science 2024-09-24 Kananart Kuwaranancharoen , Lei Xin , Shreyas Sundaram

This paper proposes a Byzantine-resilient consensus-based distributed filter (BR-CDF) wherein network agents employ partial sharing of state parameters. We characterize the performance and convergence of the BR-CDF and study the impact of a…

Signal Processing · Electrical Eng. & Systems 2023-07-27 Ashkan Moradi , Vinay Chakravarthi Gogineni , Naveen K. D. Venkategowda , Stefan Werner

A plethora of modern machine learning tasks require the utilization of large-scale distributed clusters as a critical component of the training pipeline. However, abnormal Byzantine behavior of the worker nodes can derail the training and…

Machine Learning · Computer Science 2023-05-16 Konstantinos Konstantinidis , Namrata Vaswani , Aditya Ramamoorthy

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…

Machine Learning · Computer Science 2025-03-17 Yufei Xia , Wenrui Yu , Qiongxiu Li

In distributed learning systems, robustness issues may arise from two sources. On one hand, due to distributional shifts between training data and test data, the trained model could exhibit poor out-of-sample performance. On the other hand,…

Machine Learning · Computer Science 2022-11-01 Guanqiang Zhou , Ping Xu , Yue Wang , Zhi Tian