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This paper studies Byzantine-robust stochastic optimization over a decentralized network, where every agent periodically communicates with its neighbors to exchange local models, and then updates its own local model by stochastic gradient…

Machine Learning · Computer Science 2023-08-11 Jie Peng , Weiyu Li , Qing Ling

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

This paper studies the distributed multi-agent resilient optimization problem under the f-total Byzantine attacks. Compared with the previous work on Byzantineresilient multi-agent exact optimization problems, we do not require the…

Optimization and Control · Mathematics 2023-03-29 Yang Zhai , Zhi-Wei Liu , Dong Yue , Songlin Hu , Xiangpeng Xie

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

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

We study nonconvex finite-sum problems and analyze stochastic variance reduced gradient (SVRG) methods for them. SVRG and related methods have recently surged into prominence for convex optimization given their edge over stochastic gradient…

Optimization and Control · Mathematics 2016-04-06 Sashank J. Reddi , Ahmed Hefny , Suvrit Sra , Barnabas Poczos , Alex Smola

We consider the problem of distributed statistical machine learning in adversarial settings, where some unknown and time-varying subset of working machines may be compromised and behave arbitrarily to prevent an accurate model from being…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-24 Yudong Chen , Lili Su , Jiaming Xu

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

In this paper, we introduce an unbiased gradient simulation algorithms for solving convex optimization problem with stochastic function compositions. We show that the unbiased gradient generated from the algorithm has finite variance and…

Optimization and Control · Mathematics 2017-11-22 Jose Blanchet , Donald Goldfarb , Garud Iyengar , Fengpei Li , Chaoxu Zhou

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

In this work, we propose a distributed algorithm for stochastic non-convex optimization. We consider a worker-server architecture where a set of $K$ worker nodes (WNs) in collaboration with a server node (SN) jointly aim to minimize a…

Optimization and Control · Mathematics 2020-05-04 Prashant Khanduri , Pranay Sharma , Swatantra Kafle , Saikiran Bulusu , Ketan Rajawat , Pramod K. Varshney

In this paper, we proposed a new technique, {\em variance controlled stochastic gradient} (VCSG), to improve the performance of the stochastic variance reduced gradient (SVRG) algorithm. To avoid over-reducing the variance of gradient by…

Machine Learning · Computer Science 2021-02-22 Jia Bi , Steve R. Gunn

This paper focuses on decentralized stochastic optimization in the presence of Byzantine attacks. During the optimization process, an unknown number of malfunctioning or malicious workers, termed as Byzantine workers, disobey the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Zhaoxian Wu , Tianyi Chen , Qing Ling

Asynchronous distributed machine learning solutions have proven very effective so far, but always assuming perfectly functioning workers. In practice, some of the workers can however exhibit Byzantine behavior, caused by hardware failures,…

Machine Learning · Statistics 2018-07-10 Georgios Damaskinos , El Mahdi El Mhamdi , Rachid Guerraoui , Rhicheek Patra , Mahsa Taziki

This paper considers the Byzantine fault-tolerance problem in distributed stochastic gradient descent (D-SGD) method - a popular algorithm for distributed multi-agent machine learning. In this problem, each agent samples data points…

Machine Learning · Computer Science 2021-04-20 Nirupam Gupta , Shuo Liu , Nitin H. Vaidya

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

This paper considers a distributed optimization problem in the presence of Byzantine agents capable of introducing untrustworthy information into the communication network. A resilient distributed subgradient algorithm is proposed based on…

Optimization and Control · Mathematics 2023-03-22 Jingxuan Zhu , Yixuan Lin , Alvaro Velasquez , Ji Liu

This paper proposes a Robust Gradient Classification Framework (RGCF) for Byzantine fault tolerance in distributed stochastic gradient descent. The framework consists of a pattern recognition filter which we train to be able to classify…

Machine Learning · Computer Science 2023-01-19 Shashank Reddy Chirra , Kalyan Varma Nadimpalli , Shrisha Rao

We study a class of stochastic nonconvex optimization in the form of $\min_{x\in\mathcal{X}} F(x):=\mathbb{E}_\xi [f(\phi(x,\xi))]$, i.e., $F$ is a composition of a convex function $f$ and a random function $\phi$. Leveraging an (implicit)…

Optimization and Control · Mathematics 2024-07-16 Xin Chen , Niao He , Yifan Hu , Zikun Ye

In this paper we consider a distributed stochastic optimization problem without the gradient/subgradient information for the local objective functions, subject to local convex constraints. The objective functions may be non-smooth and…

Systems and Control · Computer Science 2018-06-25 Yinghui Wang , Wenxiao Zhao , Yiguang Hong , Mohsen Zamani