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This paper presents a resilient distributed algorithm for solving a system of linear algebraic equations over a multi-agent network in the presence of Byzantine agents capable of arbitrarily introducing untrustworthy information in…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Jingxuan Zhu , Alvaro Velasquez , Ji Liu

Stochastic Gradient Descent (SGD) and its momentum variants form the backbone of deep learning optimization, yet the underlying dynamics of their gradient behavior remain insufficiently understood. In this work, we reinterpret gradient…

Machine Learning · Computer Science 2026-03-09 Zhipeng Yao , Rui Yu , Guisong Chang , Ying Li , Yu Zhang , Dazhou Li

We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

Optimization and Control · Mathematics 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

Federated Learning (FL) enables heterogeneous clients to collaboratively train a shared model without centralizing their raw data, offering an inherent level of privacy. However, gradients and model updates can still leak sensitive…

Machine Learning · Computer Science 2026-04-07 Rustem Islamov , Grigory Malinovsky , Alexander Gaponov , Aurelien Lucchi , Peter Richtárik , Eduard Gorbunov

We develop a distributed second order optimization algorithm that is communication-efficient as well as robust against Byzantine failures of the worker machines. We propose COMRADE (COMunication-efficient and Robust Approximate Distributed…

Machine Learning · Computer Science 2021-03-19 Avishek Ghosh , Raj Kumar Maity , Arya Mazumdar

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

Federated learning (FL) enables a collaborative environment for training machine learning models without sharing training data between users. This is typically achieved by aggregating model gradients on a central server. Decentralized…

Machine Learning · Computer Science 2024-07-09 Siddhartha Bhattacharya , Daniel Helo , Joshua Siegel

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

Stochastic gradient descent with momentum (SGDM) has been widely used in many machine learning and statistical applications. Despite the observed empirical benefits of SGDM over traditional SGD, the theoretical understanding of the role of…

Machine Learning · Computer Science 2024-02-02 Kejie Tang , Weidong Liu , Yichen Zhang , Xi Chen

A theoretical, and potentially also practical, problem with stochastic gradient descent is that trajectories may escape to infinity. In this note, we investigate uniform boundedness properties of iterates and function values along the…

Machine Learning · Computer Science 2022-06-23 Xiaoyu Wang , Mikael Johansson

This work considers resilient, cooperative state estimation in unreliable multi-agent networks. A network of agents aims to collaboratively estimate the value of an unknown vector parameter, while an {\em unknown} subset of agents suffer…

Systems and Control · Computer Science 2018-10-25 Lili Su , Shahin Shahrampour

The plain stochastic gradient descent and momentum stochastic gradient descent have extremely wide applications in deep learning due to their simple settings and low computational complexity. The momentum stochastic gradient descent uses…

Machine Learning · Computer Science 2021-06-15 Kun Zeng , Jinlan Liu , Zhixia Jiang , Dongpo Xu

Designing deep neural networks is an art that often involves an expensive search over candidate architectures. To overcome this for recurrent neural nets (RNNs), we establish a connection between the hidden state dynamics in an RNN and…

Machine Learning · Computer Science 2021-12-14 Tan M. Nguyen , Richard G. Baraniuk , Andrea L. Bertozzi , Stanley J. Osher , Bao Wang

Stochastic Gradient Descent (SGD) and its variants are the most used algorithms in machine learning applications. In particular, SGD with adaptive learning rates and momentum is the industry standard to train deep networks. Despite the…

Machine Learning · Statistics 2020-07-29 Xiaoyu Li , Francesco Orabona

Stochastic gradient descent~(SGD) and its variants have been the dominating optimization methods in machine learning. Compared to SGD with small-batch training, SGD with large-batch training can better utilize the computational power of…

Machine Learning · Statistics 2024-04-16 Shen-Yi Zhao , Chang-Wei Shi , Yin-Peng Xie , Wu-Jun Li

This paper develops an efficient distributed inference algorithm, which is robust against a moderate fraction of Byzantine nodes, namely arbitrary and possibly adversarial machines in a distributed learning system. In robust statistics, the…

Machine Learning · Statistics 2021-03-05 Jiyuan Tu , Weidong Liu , Xiaojun Mao , Xi Chen

Federated Learning (FL) enables multiple clients to collaboratively train models without sharing raw data, but it is highly vulnerable to Byzantine attacks. Existing robust approaches can neutralize these threats but incur substantial…

Machine Learning · Computer Science 2026-05-28 Shiyuan Zuo , Jiashuo Li , Rongfei Fan , Han Hu , Jie Xu

We combine two advanced ideas widely used in optimization for machine learning: shuffling strategy and momentum technique to develop a novel shuffling gradient-based method with momentum, coined Shuffling Momentum Gradient (SMG), for…

Optimization and Control · Mathematics 2021-06-10 Trang H. Tran , Lam M. Nguyen , Quoc Tran-Dinh

Communication overhead is a major bottleneck hampering the scalability of distributed machine learning systems. Recently, there has been a surge of interest in using gradient compression to improve the communication efficiency of…

Machine Learning · Computer Science 2019-10-29 Shuai Zheng , Ziyue Huang , James T. Kwok

Collaborative learning algorithms, such as distributed SGD (or D-SGD), are prone to faulty machines that may deviate from their prescribed algorithm because of software or hardware bugs, poisoned data or malicious behaviors. While many…

Machine Learning · Computer Science 2023-06-06 Sadegh Farhadkhani , Rachid Guerraoui , Nirupam Gupta , Lê Nguyên Hoang , Rafael Pinot , John Stephan