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We study distributed optimization in the presence of Byzantine adversaries, where both data and computation are distributed among $m$ worker machines, $t$ of which may be corrupt. The compromised nodes may collaboratively and arbitrarily…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-05 Deepesh Data , Linqi Song , Suhas Diggavi

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 propose two novel stochastic gradient descent algorithms, ByGARS and ByGARS++, for distributed machine learning in the presence of any number of Byzantine adversaries. In these algorithms, reputation scores of workers are computed using…

Machine Learning · Computer Science 2020-12-09 Jayanth Regatti , Hao Chen , Abhishek Gupta

The growth of data, the need for scalability and the complexity of models used in modern machine learning calls for distributed implementations. Yet, as of today, distributed machine learning frameworks have largely ignored the possibility…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-14 Peva Blanchard , El Mahdi El Mhamdi , Rachid Guerraoui , Julien Stainer

Recently, there is a growing interest in the study of median-based algorithms for distributed non-convex optimization. Two prominent such algorithms include signSGD with majority vote, an effective approach for communication reduction via…

Machine Learning · Computer Science 2019-06-07 Xiangyi Chen , Tiancong Chen , Haoran Sun , Zhiwei Steven Wu , Mingyi Hong

Distributed optimization with open collaboration is a popular field since it provides an opportunity for small groups/companies/universities, and individuals to jointly solve huge-scale problems. However, standard optimization algorithms…

Optimization and Control · Mathematics 2023-03-09 Nikita Fedin , Eduard Gorbunov

We study local stochastic gradient descent methods for solving federated optimization over a network of agents communicating indirectly through a centralized coordinator. We are interested in the Byzantine setting where there is a subset of…

Optimization and Control · Mathematics 2024-09-06 Amit Dutta , Thinh T. Doan

We develop a communication-efficient distributed learning algorithm that is robust against Byzantine worker machines. We propose and analyze a distributed gradient-descent algorithm that performs a simple thresholding based on gradient…

Machine Learning · Computer Science 2021-08-17 Avishek Ghosh , Raj Kumar Maity , Swanand Kadhe , Arya Mazumdar , Kannan Ramchandran

We tackle the problem of Byzantine errors in distributed gradient descent within the Byzantine-resilient gradient coding framework. Our proposed solution can recover the exact full gradient in the presence of $s$ malicious workers with a…

Information Theory · Computer Science 2024-01-31 Shreyas Jain , Luis Maßny , Christoph Hofmeister , Eitan Yaakobi , Rawad Bitar

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

Distributed learning has become a necessity for training ever-growing models by sharing calculation among several devices. However, some of the devices can be faulty, deliberately or not, preventing the proper convergence. As a matter of…

Machine Learning · Computer Science 2022-02-08 Jason Akoun , Sebastien Meyer

Decentralized stochastic gradient algorithms efficiently solve large-scale finite-sum optimization problems when all agents in the network are reliable. However, most of these algorithms are not resilient to adverse conditions, such as…

Optimization and Control · Mathematics 2025-06-24 Jinhui Hu , Guo Chen , Huaqing Li , Xiaoyu Guo , Liang Ran , Tingwen Huang

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

We study robust distributed learning that involves minimizing a non-convex loss function with saddle points. We consider the Byzantine setting where some worker machines have abnormal or even arbitrary and adversarial behavior. In this…

Machine Learning · Computer Science 2020-07-30 Dong Yin , Yudong Chen , Kannan Ramchandran , Peter Bartlett

Privacy and Byzantine resilience are two indispensable requirements for a federated learning (FL) system. Although there have been extensive studies on privacy and Byzantine security in their own track, solutions that consider both remain…

Machine Learning · Computer Science 2023-08-03 Zihang Xiang , Tianhao Wang , Wanyu Lin , Di Wang

We consider the federated learning problem where data on workers are not independent and identically distributed (i.i.d.). During the learning process, an unknown number of Byzantine workers may send malicious messages to the central node,…

Machine Learning · Computer Science 2021-08-31 Jie Peng , Zhaoxian Wu , Qing Ling , Tianyi Chen

Stochastic gradient descent (SGD) is a popular algorithm for optimization problems arising in high-dimensional inference tasks. Here one produces an estimator of an unknown parameter from independent samples of data by iteratively…

Machine Learning · Statistics 2023-06-23 Gerard Ben Arous , Reza Gheissari , Aukosh Jagannath

The problem of designing distributed optimization algorithms that are resilient to Byzantine adversaries has received significant attention. For the Byzantine-resilient distributed optimization problem, the goal is to (approximately)…

Optimization and Control · Mathematics 2024-12-30 Kananart Kuwaranancharoen , Shreyas Sundaram

This report considers the problem of Byzantine fault-tolerance in synchronous parallelized learning that is founded on the parallelized stochastic gradient descent (parallelized-SGD) algorithm. The system comprises a master, and $n$…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-23 Nirupam Gupta , Nitin H. Vaidya

We propose Zeno++, a new robust asynchronous Stochastic Gradient Descent~(SGD) procedure which tolerates Byzantine failures of the workers. In contrast to previous work, Zeno++ removes some unrealistic restrictions on worker-server…

Machine Learning · Computer Science 2021-05-11 Cong Xie , Sanmi Koyejo , Indranil Gupta