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We consider the problem of estimating functions of distributed data using a distributed algorithm over a network. The extant literature on computing functions in distributed networks such as wired and wireless sensor networks and…

Networking and Internet Architecture · Computer Science 2012-10-24 Pooja Vyavahare , Nutan Limaye , D. Manjunath

We consider a decentralized convex unconstrained optimization problem, where the cost function can be decomposed into a sum of strongly convex and smooth functions, associated with individual agents, interacting over a static or…

Optimization and Control · Mathematics 2023-12-12 Dmitry Metelev , Aleksandr Beznosikov , Alexander Rogozin , Alexander Gasnikov , Anton Proskurnikov

Modeling distributed computing in a way enabling the use of formal methods is a challenge that has been approached from different angles, among which two techniques emerged at the turn of the century: protocol complexes, and directed…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-21 Pierre Fraigniaud , Ami Paz

Graph spanners are fundamental graph structures with a wide range of applications in distributed networks. We consider a standard synchronous message passing model where in each round $O(\log n)$ bits can be transmitted over every edge (the…

Data Structures and Algorithms · Computer Science 2017-08-15 Ofer Grossman , Merav Parter

This paper investigates the distributed continuous-time nonconvex optimization problem over unbalanced directed networks. The objective is to cooperatively drive all the agent states to an optimal solution that minimizes the sum of the…

Optimization and Control · Mathematics 2022-12-01 Jin Zhang , Yahui Hao , Lu Liu , Haibo Ji

Development of many futuristic technologies, such as MANET, VANET, iThings, nano-devices, depend on efficient distributed communication protocols in multi-hop ad hoc networks. A vast majority of research in this area focus on design…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-19 Tomasz Jurdzinski , Dariusz R. Kowalski , Grzegorz Stachowiak

We consider the problems of computing the average degree and the size of a given network in a distributed fashion under quantized communication. We present two distributed algorithms which rely on quantized operation (i.e., nodes process…

Systems and Control · Electrical Eng. & Systems 2022-11-30 Apostolos I. Rikos , Themistoklis Charalambous , Christoforos N. Hadjicostis , Karl H. Johansson

We consider the problem of making distributed computations robust to noise, in particular to worst-case (adversarial) corruptions of messages. We give a general distributed interactive coding scheme which simulates any asynchronous…

Data Structures and Algorithms · Computer Science 2017-02-27 Keren Censor-Hillel , Ran Gelles , Bernhard Haeupler

We study the design of energy-efficient algorithms for the LOCAL and CONGEST models. Specifically, as a measure of complexity, we consider the maximum, taken over all the edges, or over all the nodes, of the number of rounds at which an…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-06 Pierre Fraigniaud , Pedro Montealegre , Ivan Rapaport , Ioan Todinca

We present a distributed self-adjusting algorithm for skip graphs that minimizes the average routing costs between arbitrary communication pairs by performing topological adaptation to the communication pattern. Our algorithm is fully…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-05 Sikder Huq , Sukumar Ghosh

Distributed graph algorithms that separately optimize for either the number of rounds used or the total number of messages sent have been studied extensively. However, algorithms simultaneously efficient with respect to both measures have…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-18 Bernhard Haeupler , D. Ellis Hershkowitz , David Wajc

We present improved distributed algorithms for triangle detection and its variants in the CONGEST model. We show that Triangle Detection, Counting, and Enumeration can be solved in $\tilde{O}(n^{1/2})$ rounds. In contrast, the previous…

Data Structures and Algorithms · Computer Science 2018-07-19 Yi-Jun Chang , Seth Pettie , Hengjie Zhang

We give a maximal independent set (MIS) algorithm that runs in $O(\log \log \Delta)$ rounds in the congested clique model, where $\Delta$ is the maximum degree of the input graph. This improves upon the $O(\frac{\log(\Delta) \cdot \log \log…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-02-22 Christian Konrad

Complex networks contain complete subgraphs such as nodes, edges, triangles, etc., referred to as simplices and cliques of different orders. Notably, cavities consisting of higher-order cliques play an important role in brain functions.…

Neural and Evolutionary Computing · Computer Science 2021-11-02 Dinghua Shi , Zhifeng Chen , Xiang Sun , Qinghua Chen , Chuang Ma , Yang Lou , Guanrong Chen

Given a set $P$ of $n$ points in the plane, the unit-disk graph $G(P)$ is a graph with $P$ as its vertex set such that two points of $P$ have an edge if their Euclidean distance is at most $1$. We consider the problem of computing a maximum…

Computational Geometry · Computer Science 2025-06-30 Anastasiia Tkachenko , Haitao Wang

Network reconstruction consists in determining the unobserved pairwise couplings between $N$ nodes given only observational data on the resulting behavior that is conditioned on those couplings -- typically a time-series or independent…

Data Structures and Algorithms · Computer Science 2024-05-08 Tiago P. Peixoto

In this paper, we consider the problem of clustering graph nodes and sparsifying graph edges over distributed graphs, when graph edges with possibly edge duplicates are observed at physically remote sites. Although edge duplicates across…

Data Structures and Algorithms · Computer Science 2023-02-21 Chun Jiang Zhu

Deploying deep neural networks (DNNs) on IoT and mobile devices is a challenging task due to their limited computational resources. Thus, demanding tasks are often entirely offloaded to edge servers which can accelerate inference, however,…

Computer Vision and Pattern Recognition · Computer Science 2022-06-20 Arian Bakhtiarnia , Nemanja Milošević , Qi Zhang , Dragana Bajović , Alexandros Iosifidis

In this paper, we propose a novel algorithm for energy-efficient, low-latency dynamic mobile edge computing (MEC), in the context of beyond 5G networks endowed with Reconfigurable Intelligent Surfaces (RISs). In our setting, new computing…

Signal Processing · Electrical Eng. & Systems 2021-12-22 Paolo Di Lorenzo , Mattia Merluzzi , Emilio Calvanese Strinati , Sergio Barbarossa

Motivated by the increasing need for fast processing of large-scale graphs, we study a number of fundamental graph problems in a message-passing model for distributed computing, called $k$-machine model, where we have $k$ machines that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-10 Khalid Hourani , Hartmut Klauck , William K. Moses , Danupon Nanongkai , Gopal Pandurangan , Peter Robinson , Michele Scquizzato