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Nonconvex and nonsmooth optimization problems are frequently encountered in much of statistics, business, science and engineering, but they are not yet widely recognized as a technology in the sense of scalability. A reason for this…

最优化与控制 · 数学 2018-01-19 Bo Jiang , Tianyi Lin , Shiqian Ma , Shuzhong Zhang

A streaming algorithm is adversarially robust if it is guaranteed to perform correctly even in the presence of an adaptive adversary. Recently, several sophisticated frameworks for robustification of classical streaming algorithms have been…

数据结构与算法 · 计算机科学 2021-09-09 Omri Ben-Eliezer , Talya Eden , Krzysztof Onak

The aim of this paper is to demonstrate the feasibility of authenticated throughput-efficient routing in an unreliable and dynamically changing synchronous network in which the majority of malicious insiders try to destroy and alter…

密码学与安全 · 计算机科学 2009-01-04 Yair Amir , Paul Bunn , Rafail Ostrovksy

We study the dynamic correlation clustering problem with $\textit{adaptive}$ edge label flips. In correlation clustering, we are given a $n$-vertex complete graph whose edges are labeled either $(+)$ or $(-)$, and the goal is to minimize…

数据结构与算法 · 计算机科学 2026-02-10 Vladimir Braverman , Prathamesh Dharangutte , Shreyas Pai , Vihan Shah , Chen Wang

It has been shown that one can design distributed algorithms that are (nearly) singularly optimal, meaning they simultaneously achieve optimal time and message complexity (within polylogarithmic factors), for several fundamental global…

分布式、并行与集群计算 · 计算机科学 2024-11-12 Fabien Dufoulon , Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We present the first nearly-optimal bounds on the consensus time for the well-known synchronous consensus dynamics, specifically 3-Majority and 2-Choices, for an arbitrary number of opinions. In synchronous consensus dynamics, we consider…

分布式、并行与集群计算 · 计算机科学 2025-03-05 Nobutaka Shimizu , Takeharu Shiraga

We tackle the problem of a set of agents achieving resilient consensus in the presence of attacked agents. We present a discrete-time reputation-based consensus algorithm for synchronous and asynchronous networks by developing a local…

系统与控制 · 电气工程与系统科学 2021-07-02 Guilherme Ramos , Daniel Silvestre , Carlos Silvestre

Gossip algorithms are widely used to solve the distributed consensus problem, but issues can arise when nodes receive multiple signals either at the same time or before they are able to finish processing their current work load.…

系统与控制 · 计算机科学 2013-01-15 Christopher D. Hollander , Annie S. Wu

This paper focuses on showing time-message trade-offs in distributed algorithms for fundamental problems such as leader election, broadcast, spanning tree (ST), minimum spanning tree (MST), minimum cut, and many graph verification problems.…

数据结构与算法 · 计算机科学 2018-10-09 Robert Gmyr , Gopal Pandurangan

Consider a fully-connected synchronous distributed system consisting of $n$ nodes, where up to $f$ nodes may be faulty and every node starts in an arbitrary initial state. In the synchronous $C$-counting problem, all nodes need to…

分布式、并行与集群计算 · 计算机科学 2017-01-18 Christoph Lenzen , Joel Rybicki

This paper considers two fundamental sequential decision-making problems: the problem of prediction with expert advice and the multi-armed bandit problem. We focus on stochastic regimes in which an adversary may corrupt losses, and we…

机器学习 · 统计学 2021-09-24 Shinji Ito

This paper addresses the problem of resilient consensus in the presence of misbehaving nodes. Although it is typical to assume knowledge of at least some nonlocal information when studying secure and fault-tolerant consensus algorithms,…

分布式、并行与集群计算 · 计算机科学 2012-06-21 Heath J. LeBlanc , Haotian Zhang , Shreyas Sundaram , Xenofon Koutsoukos

We consider an adversarial variant of the classic $K$-armed linear contextual bandit problem where the sequence of loss functions associated with each arm are allowed to change without restriction over time. Under the assumption that the…

机器学习 · 计算机科学 2022-05-25 Gergely Neu , Julia Olkhovskaya

In this work, we study the problem of community detection in the stochastic block model with adversarial node corruptions. Our main result is an efficient algorithm that can tolerate an $\epsilon$-fraction of corruptions and achieves error…

数据结构与算法 · 计算机科学 2022-07-26 Allen Liu , Ankur Moitra

We study the problem of non-stationary dueling bandits and provide the first adaptive dynamic regret algorithm for this problem. The only two existing attempts in this line of work fall short across multiple dimensions, including…

机器学习 · 计算机科学 2022-10-27 Thomas Kleine Buening , Aadirupa Saha

We investigate the maintenance of overlay networks under massive churn, i.e. nodes joining and leaving the network. We assume an adversary that may churn a constant fraction $\alpha n$ of nodes over the course of $\mathcal{O}(\log n)$…

分布式、并行与集群计算 · 计算机科学 2021-02-09 Thorsten Götte , Vipin Ravindran Vijayalakshmi , Christian Scheideler

This paper considers the distributed consensus problem of linear multi-agent systems subject to different matching uncertainties for both the cases without and with a leader of bounded unknown control input. Due to the existence of…

最优化与控制 · 数学 2013-12-31 Zhongkui Li , Zhisheng Duan , Frank Lewis

The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to decide whether the Hamming distance between their $n$-bit…

计算复杂性 · 计算机科学 2009-02-17 Joshua Brody , Amit Chakrabarti

Making calibrated online predictions is a central challenge in modern AI systems. Much of the existing literature focuses on fully adversarial environments where outcomes may be arbitrary, leading to conservative algorithms that can perform…

机器学习 · 计算机科学 2026-05-25 Junyan Liu , Haipeng Luo , Lillian J. Ratliff

Decentralized machine learning often relies on outsourcing computations, such as gradient evaluations, to untrusted worker nodes. Existing robust aggregation methods can mitigate malicious behavior under honest-majority assumptions, but may…

机器学习 · 计算机科学 2026-05-11 Hanzaleh Akbari Nodehi , Parsa Moradi , Soheil Mohajer , Mohammad Ali Maddah-Ali