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We study the maximum $k$-set coverage problem in the following distributed setting. A collection of sets $S_1,\ldots,S_m$ over a universe $[n]$ is partitioned across $p$ machines and the goal is to find $k$ sets whose union covers the most…

Data Structures and Algorithms · Computer Science 2018-08-24 Sepehr Assadi , Sanjeev Khanna

We consider the problem of optimally compressing and caching data across a communication network. Given the data generated at edge nodes and a routing path, our goal is to determine the optimal data compression ratios and caching decisions…

Networking and Internet Architecture · Computer Science 2018-01-25 Jian Li , Faheem Zafari , Don Towsley , Kin K. Leung , Ananthram Swami

Round complexity is an extensively studied metric of distributed algorithms. In contrast, our knowledge of the \emph{message complexity} of distributed computing problems and its relationship (if any) with round complexity is still quite…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-01 Fabien Dufoulon , Shreyas Pai , Gopal Pandurangan , Sriram Pemmaraju , Peter Robinson

In this work, we consider the asynchronous distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology…

Optimization and Control · Mathematics 2021-04-27 Wei Jiang , Andreas Grammenos , Evangelia Kalyvianaki , Themistoklis Charalambous

In the Lattice Agreement (LA) problem, originally proposed by Attiya et al. \cite{Attiya:1995}, a set of processes has to decide on a chain of a lattice. More precisely, each correct process proposes an element $e$ of a certain join-semi…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-14 Giuseppe Antonio Di Luna , Emmanuelle Anceaume , Silvia Bonomi , Leonardo Querzoni

Byzantine Agreement is a key component in many distributed systems. While Dolev and Reischuk have proven a long time ago that quadratic communication complexity is necessary for worst-case runs, the question of what can be done in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-12 Shir Cohen , Idit Keidar , Alexander Spiegelman

We study distributed plurality consensus among $n$ nodes, each of which initially holds one of $k$ opinions. The goal is to eventually agree on the initially dominant opinion. We consider an asynchronous communication model in which each…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-17 Gregor Bankhamer , Robert Elsässer , Dominik Kaaser , Matjaž Krnc

Byzantine agreement is a fundamental problem in fault-tolerant distributed computing that has been studied intensively for the last four decades. Much of the research has focused on a static Byzantine adversary, where the adversary is…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-06 Fabien Dufoulon , Gopal Pandurangan

The tree augmentation problem (TAP) is a fundamental network design problem, in which the input is a graph $G$ and a spanning tree $T$ for it, and the goal is to augment $T$ with a minimum set of edges $Aug$ from $G$, such that $T \cup Aug$…

Data Structures and Algorithms · Computer Science 2019-05-13 Keren Censor-Hillel , Michal Dory

We study the problem of computing the minimum cut in a weighted distributed message-passing networks (the CONGEST model). Let $\lambda$ be the minimum cut, $n$ be the number of nodes in the network, and $D$ be the network diameter. Our…

Data Structures and Algorithms · Computer Science 2014-08-05 Danupon Nanongkai , Hsin-Hao Su

In Part I \cite{Zhao13TSPasync1}, we introduced a fairly general model for asynchronous events over adaptive networks including random topologies, random link failures, random data arrival times, and agents turning on and off randomly. We…

Systems and Control · Computer Science 2014-12-17 Xiaochuan Zhao , Ali H. Sayed

There is growing interest in applying distributed machine learning to edge computing, forming federated edge learning. Federated edge learning faces non-i.i.d. and heterogeneous data, and the communication between edge workers, possibly…

Machine Learning · Computer Science 2022-01-27 Canh T. Dinh , Nguyen H. Tran , Tuan Dung Nguyen , Wei Bao , Amir Rezaei Balef , Bing B. Zhou , Albert Y. Zomaya

Generalized from the concept of consensus, this paper considers a group of edge agreements, i.e. constraints defined for neighboring agents, in which each pair of neighboring agents is required to satisfy one edge agreement constraint. Edge…

Optimization and Control · Mathematics 2023-12-04 Zehui Lu , Shaoshuai Mou

In the finite blocklength scenario, which is suitable for practical applications, a method of maximizing the average effective secrecy rate (AESR) is proposed for a UAV-enabled secure communication by optimizing the UAV's trajectory and…

Signal Processing · Electrical Eng. & Systems 2020-03-27 Yuntian Wang , Xiaobo Zhou , Zhihong Zhuang , Linlin Sun , Yuwen Qian , Jinhui Lu , Feng Shu

Reliable broadcast (RBC) is a key primitive in fault-tolerant distributed systems, and improving its efficiency can benefit a wide range of applications. This work focuses on signature-free RBC protocols, which are particularly attractive…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-26 Nibesh Shrestha , Qianyu Yu , Aniket Kate , Giuliano Losa , Kartik Nayak , Xuechao Wang

In this paper, we consider the Byzantine reliable broadcast problem on authenticated and partially connected networks. The state-of-the-art method to solve this problem consists in combining two algorithms from the literature. Handling…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-27 Silvia Bonomi , Jérémie Decouchant , Giovanni Farina , Vincent Rahli , Sébastien Tixeuil

The problem of network-constrained averaging is to compute the average of a set of values distributed throughout a graph G using an algorithm that can pass messages only along graph edges. We study this problem in the noisy setting, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-15 Nima Noorshams , Martin Wainwright

This paper investigates achievable information rates and error exponents of mismatched decoding when the channel belongs to the class of channels that are close to the decoding metric in terms of relative entropy. For both discrete- and…

Information Theory · Computer Science 2025-05-28 Priyanka Patel , Francesc Molina , Albert Guillén i Fàbregas

It has been known since the early 1980s that Byzantine Agreement in the full information, asynchronous model is impossible to solve deterministically against even one crash fault [FLP85], but that it can be solved with probability 1…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-01 Shang-En Huang , Seth Pettie , Leqi Zhu

Energy efficiency (EE) is an important aspect of satellite communications. Different with the existing algorithms that typically use the first-order Taylor lower bound approximation to convert non-convex EE maximization (EEM) problems into…

Information Theory · Computer Science 2022-03-15 Chenhao Qi , Yang Yang , Rui Ding , Shichao Jin , Dunge Liu