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We consider a novel setting of zeroth order non-convex optimization, where in addition to querying the function value at a given point, we can also duel two points and get the point with the larger function value. We refer to this setting…

Machine Learning · Computer Science 2019-11-05 Yichong Xu , Aparna Joshi , Aarti Singh , Artur Dubrawski

Approximate byzantine consensus is a fundamental problem of distributed computing. This paper presents a novel algorithm for approximate byzantine consensus, called Relay-ABC. The algorithm allows machines to achieve approximate consensus…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-29 Matthew Ding

Byzantine Agreement (BA) is one of the most fundamental problems in distributed computing, and its communication complexity is an important efficiency metric. It is well known that quadratic communication is necessary for BA in the worst…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-01 Atsuki Momose , Ling Ren

We explore asynchronous unison in the presence of systemic transient and permanent Byzantine faults in shared memory. We observe that the problem is not solvable under less than strongly fair scheduler or for system topologies with maximum…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-12-02 Swan Dubois , Maria Gradinariu Potop-Butucaru , Mikhail Nesterenko , Sébastien Tixeuil

Due to the use of commodity software and hardware, crash-stop and Byzantine failures are likely to be more prevalent in today's large-scale distributed storage systems. Regenerating codes have been shown to be a more efficient way to…

Information Theory · Computer Science 2011-08-22 Yunghsiang S. Han , Rong Zheng , Wai Ho Mow

This paper investigates how to accelerate the convergence of distributed optimization algorithms on nonconvex problems with zeroth-order information available only. We propose a zeroth-order (ZO) distributed primal-dual stochastic…

Optimization and Control · Mathematics 2021-10-15 Shengjun Zhang , Colleen P. Bailey

Federated learning (FL) is a privacy-friendly type of machine learning where devices locally train a model on their private data and typically communicate model updates with a server. In decentralized FL (DFL), peers communicate model…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-22 Joost Verbraeken , Martijn de Vos , Johan Pouwelse

In federated learning, most existing robust aggregation rules (AGRs) combat Byzantine attacks in the IID setting, where client data is assumed to be independent and identically distributed. In this paper, we address label skewness, a more…

Machine Learning · Computer Science 2024-03-21 Wenxuan Bao , Jun Wu , Jingrui He

We propose PRISM-FCP (Partial shaRing and robust calIbration with Statistical Margins for Federated Conformal Prediction), a Byzantine-resilient federated conformal prediction framework that utilizes partial model sharing to improve…

Machine Learning · Computer Science 2026-02-23 Ehsan Lari , Reza Arablouei , Stefan Werner

We provide the first protocol that solves Byzantine agreement with optimal early stopping ($\min\{f+2,t+1\}$ rounds) and optimal resilience ($n>3t$) using polynomial message size and computation. All previous approaches obtained sub-optimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-04-16 Ittai Abraham , Danny Dolev

We show that any randomized first-order algorithm which minimizes a $d$-dimensional, $1$-Lipschitz convex function over the unit ball must either use $\Omega(d^{2-\delta})$ bits of memory or make $\Omega(d^{1+\delta/6-o(1)})$ queries, for…

Data Structures and Algorithms · Computer Science 2023-06-23 Xi Chen , Binghui Peng

The minimization of convex functions which are only available through partial and noisy information is a key methodological problem in many disciplines. In this paper we consider convex optimization with noisy zero-th order information,…

Machine Learning · Computer Science 2016-05-27 Francis Bach , Vianney Perchet

View synchronisation is an important component of many modern Byzantine Fault Tolerant State Machine Replication (SMR) systems in the partial synchrony model. Roughly, the efficiency of view synchronisation is measured as the word…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-08 Andrew Lewis-Pye , Ittai Abraham

Federated learning is a promising framework to mitigate data privacy and computation concerns. However, the communication cost between the server and clients has become the major bottleneck for successful deployment. Despite notable…

Machine Learning · Computer Science 2022-05-03 Yang He , Hui-Po Wang , Maximilian Zenk , Mario Fritz

Recent years have witnessed a slew of coding techniques custom designed for networked storage systems. Network coding inspired regenerating codes are the most prolifically studied among these new age storage centric codes. A lot of effort…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-14 Frédérique Oggier , Anwitaman Datta

We study adversary-resilient stochastic distributed optimization, in which $m$ machines can independently compute stochastic gradients, and cooperate to jointly optimize over their local objective functions. However, an $\alpha$-fraction of…

Machine Learning · Computer Science 2021-04-05 Zeyuan Allen-Zhu , Faeze Ebrahimian , Jerry Li , Dan Alistarh

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

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

In this paper, we formalise order-robust optimisation as an instance of online learning minimising simple regret, and propose Vroom, a zero'th order optimisation algorithm capable of achieving vanishing regret in non-stationary…

Machine Learning · Computer Science 2019-10-23 Victor Gabillon , Rasul Tutunov , Michal Valko , Haitham Bou Ammar

This paper deals with distributed finite-sum optimization for learning over networks in the presence of malicious Byzantine attacks. To cope with such attacks, most resilient approaches so far combine stochastic gradient descent (SGD) with…

Machine Learning · Computer Science 2023-07-19 Zhaoxian Wu , Qing Ling , Tianyi Chen , Georgios B. Giannakis
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