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In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

系统与控制 · 电气工程与系统科学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Learning to optimize (L2O) is an emerging technique to solve mathematical optimization problems with learning-based methods. Although with great success in many real-world scenarios such as wireless communications, computer networks, and…

机器学习 · 计算机科学 2025-06-18 Qingyu Song , Wei Lin , Juncheng Wang , Hong Xu

We present new deterministic algorithms for computing distributed weighted minimum weight cycle (MWC) in undirected and directed graphs and distributed weighted all nodes shortest cycle (ANSC) in directed graphs. Our algorithms for these…

分布式、并行与集群计算 · 计算机科学 2023-10-03 Udit Agarwal

We study gossip algorithms for the rumor spreading problem which asks each node to deliver a rumor to all nodes in an unknown network. Gossip algorithms allow nodes only to call one neighbor per round and have recently attracted attention…

数据结构与算法 · 计算机科学 2014-04-08 Bernhard Haeupler

In this work we consider the HYBRID model of distributed computing, introduced recently by Augustine, Hinnenthal, Kuhn, Scheideler, and Schneider (SODA 2020), where nodes have access to two different communication modes: high-bandwidth…

分布式、并行与集群计算 · 计算机科学 2024-05-20 Yi-Jun Chang , Oren Hecht , Dean Leitersdorf , Philipp Schneider

In this paper we provide a parallel algorithm that given any $n$-node $m$-edge directed graph and source vertex $s$ computes all vertices reachable from $s$ with $\tilde{O}(m)$ work and $n^{1/2 + o(1)}$ depth with high probability in $n$ .…

数据结构与算法 · 计算机科学 2019-12-09 Arun Jambulapati , Yang P. Liu , Aaron Sidford

We show that the $(degree+1)$-list coloring problem can be solved deterministically in $O(D \cdot \log n \cdot\log^2\Delta)$ rounds in the \CONGEST model, where $D$ is the diameter of the graph, $n$ the number of nodes, and $\Delta$ the…

分布式、并行与集群计算 · 计算机科学 2020-04-08 Philipp Bamberger , Fabian Kuhn , Yannic Maus

In the load balancing problem, the input is an $n$-vertex bipartite graph $G = (C \cup S, E)$ and a positive weight for each client $c \in C$. The algorithm must assign each client $c \in C$ to an adjacent server $s \in S$. The load of a…

分布式、并行与集群计算 · 计算机科学 2020-11-26 Sepehr Assadi , Aaron Bernstein , Zachary Langley

We consider a decentralized learning problem, where a set of computing nodes aim at solving a non-convex optimization problem collaboratively. It is well-known that decentralized optimization schemes face two major system bottlenecks:…

机器学习 · 计算机科学 2019-11-04 Amirhossein Reisizadeh , Hossein Taheri , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

In the LOCAL model, low-diameter decomposition is a useful tool in designing algorithms, as it allows us to shift from the general graph setting to the low-diameter graph setting, where brute-force information gathering can be done…

数据结构与算法 · 计算机科学 2026-03-25 Yi-Jun Chang

As the complexity of our neural network models grow, so too do the data and computation requirements for successful training. One proposed solution to this problem is training on a distributed network of computational devices, thus…

机器学习 · 计算机科学 2020-05-22 Kyle Crandall , Dustin Webb

We consider the problem of forming a distributed queue in the adversarial dynamic network model of Kuhn, Lynch, and Oshman (STOC 2010) in which the network topology changes from round to round but the network stays connected. This is a…

分布式、并行与集群计算 · 计算机科学 2013-10-21 Gokarna Sharma , Costas Busch

By far the most fruitful technique for showing lower bounds for the CONGEST model is reductions to two-party communication complexity. This technique has yielded nearly tight results for various fundamental problems such as distance…

分布式、并行与集群计算 · 计算机科学 2020-05-28 Yuval Efron , Ofer Grossman , Seri Khoury

In distributed networks, it is often useful for the nodes to be aware of dense subgraphs, e.g., such a dense subgraph could reveal dense subtructures in otherwise sparse graphs (e.g. the World Wide Web or social networks); these might…

分布式、并行与集群计算 · 计算机科学 2012-08-08 Atish Das Sarma , Ashwin Lall , Danupon Nanongkai , Amitabh Trehan

Leader election is, together with consensus, one of the most central problems in distributed computing. This paper presents a distributed algorithm, called \STT, for electing deterministically a leader in an arbitrary network, assuming…

分布式、并行与集群计算 · 计算机科学 2018-09-10 Arnaud Casteigts , Yves Métivier , John Michael Robson , Akka Zemmari

A $t$-{\em spanner} $H$ of a weighted graph $G=(V,E,w)$ is a subgraph that approximates all pairwise distances up to a factor of $t$. The {\em lightness} of $H$ is defined as the ratio between the weight of $H$ to that of the minimum…

数据结构与算法 · 计算机科学 2019-05-08 Michael Elkin , Arnold Filtser , Ofer Neiman

The minimum degree spanning tree (MDST) problem requires the construction of a spanning tree $T$ for graph $G=(V,E)$ with $n$ vertices, such that the maximum degree $d$ of $T$ is the smallest among all spanning trees of $G$. In this paper,…

数据结构与算法 · 计算机科学 2018-06-12 Michael Dinitz , Magnús M. Halldórsson , Calvin Newport

$ \renewcommand{\tilde}{\widetilde} $We present an $\tilde{O}(\log^2 n)$ round deterministic distributed algorithm for the maximal independent set problem. By known reductions, this round complexity extends also to maximal matching,…

数据结构与算法 · 计算机科学 2023-03-29 Mohsen Ghaffari , Christoph Grunau

Network decomposition is a central tool in distributed graph algorithms. We present two improvements on the state of the art for network decomposition, which thus lead to improvements in the (deterministic and randomized) complexity of…

数据结构与算法 · 计算机科学 2020-07-17 Mohsen Ghaffari , Christoph Grunau , Václav Rozhoň

Beeping models are models for networks of weak devices, such as sensor networks or biological networks. In these networks, nodes are allowed to communicate only via emitting beeps: unary pulses of energy. Listening nodes only the capability…

分布式、并行与集群计算 · 计算机科学 2023-03-28 Peter Davies