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Sampling-based algorithms are classical approaches to perform Bayesian inference in inverse problems. They provide estimators with the associated credibility intervals to quantify the uncertainty on the estimators. Although these methods…

统计方法学 · 统计学 2023-11-28 Pierre-Antoine Thouvenin , Audrey Repetti , Pierre Chainais

We present two new combinatorial tools for the design of parameterized algorithms. The first is a simple linear time randomized algorithm that given as input a $d$-degenerate graph $G$ and an integer $k$, outputs an independent set $Y$,…

数据结构与算法 · 计算机科学 2017-05-04 Daniel Lokshtanov , Fahad Panolan , Saket Saurabh , Roohani Sharma , Meirav Zehavi

We show that many classical optimization problems --- such as $(1\pm\epsilon)$-approximate maximum flow, shortest path, and transshipment --- can be computed in $\newcommand{\tmix}{{\tau_{\text{mix}}}}\tmix(G)\cdot n^{o(1)}$ rounds of…

数据结构与算法 · 计算机科学 2018-05-29 Mohsen Ghaffari , Jason Li

We present time-efficient distributed algorithms for decomposing graphs with large edge or vertex connectivity into multiple spanning or dominating trees, respectively. As their primary applications, these decompositions allow us to achieve…

数据结构与算法 · 计算机科学 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

The success of modern parallel paradigms such as MapReduce, Hadoop, or Spark, has attracted a significant attention to the Massively Parallel Computation (MPC) model over the past few years, especially on graph problems. In this work, we…

分布式、并行与集群计算 · 计算机科学 2019-05-07 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Richard M. Karp

Huge scale machine learning problems are nowadays tackled by distributed optimization algorithms, i.e. algorithms that leverage the compute power of many devices for training. The communication overhead is a key bottleneck that hinders…

机器学习 · 计算机科学 2018-11-30 Sebastian U. Stich , Jean-Baptiste Cordonnier , Martin Jaggi

We extract a core principle underlying seemingly different fundamental distributed settings, showing sparsity awareness may induce faster algorithms for problems in these settings. To leverage this, we establish a new framework by…

分布式、并行与集群计算 · 计算机科学 2021-12-01 Keren Censor-Hillel , Dean Leitersdorf , Volodymyr Polosukhin

$ \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

We study distributed algorithms for some fundamental problems in data summarization. Given a communication graph $G$ of $n$ nodes each of which may hold a value initially, we focus on computing $\sum_{i=1}^N g(f_i)$, where $f_i$ is the…

数据结构与算法 · 计算机科学 2019-08-07 Hsin-Hao Su , Hoa T. Vu

We study deterministic algorithms for computing graph cuts, with focus on two fundamental problems: balanced sparse cut and $k$-vertex connectivity for small $k$ ($k=O(\polylog n)$). Both problems can be solved in near-linear time with…

数据结构与算法 · 计算机科学 2019-10-21 Yu Gao , Jason Li , Danupon Nanongkai , Richard Peng , Thatchaphol Saranurak , Sorrachai Yingchareonthawornchai

Distributed scheduling algorithms for throughput or utility maximization in dense wireless multi-hop networks can have overwhelmingly high overhead, causing increased congestion, energy consumption, radio footprint, and security…

信号处理 · 电气工程与系统科学 2022-03-29 Zhongyuan Zhao , Ananthram Swami , Santiago Segarra

Network decompositions, as introduced by Awerbuch, Luby, Goldberg, and Plotkin [FOCS'89], are one of the key algorithmic tools in distributed graph algorithms. We present an improved deterministic distributed algorithm for constructing…

数据结构与算法 · 计算机科学 2019-08-12 Mohsen Ghaffari , Julian Portmann

Finding a maximal independent set (MIS) in a graph is a cornerstone task in distributed computing. The local nature of an MIS allows for fast solutions in a static distributed setting, which are logarithmic in the number of nodes or in…

分布式、并行与集群计算 · 计算机科学 2015-07-17 Keren Censor-Hillel , Elad Haramaty , Zohar Karnin

In wireless networks characterized by dense connectivity, the significant signaling overhead generated by distributed link scheduling algorithms can exacerbate issues like congestion, energy consumption, and radio footprint expansion. To…

网络与互联网体系结构 · 计算机科学 2025-09-09 Zhongyuan Zhao , Gunjan Verma , Ananthram Swami , Santiago Segarra

One of the most basic techniques in algorithm design consists of breaking a problem into subproblems and then proceeding recursively. In the case of graph algorithms, one way to implement this approach is through separator sets. Given a…

分布式、并行与集群计算 · 计算机科学 2026-03-13 Benjamin Jauregui , Pedro Montealegre , Ivan Rapaport

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

Finding sparse cuts is an important tool in analyzing large-scale distributed networks such as the Internet and Peer-to-Peer networks, as well as large-scale graphs such as the web graph, online social communities, and VLSI circuits. In…

分布式、并行与集群计算 · 计算机科学 2013-10-22 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan

This paper proposes a distributed learning-based framework to tackle the sum ergodic rate maximization problem in cell-free massive multiple-input multiple-output (MIMO) systems by utilizing the graph neural network (GNN). Different from…

信息论 · 计算机科学 2024-11-06 Nguyen Xuan Tung , Trinh Van Chien , Hien Quoc Ngo , Won Joo Hwang

The maximum independent set problem is a classic optimization problem that has also been studied quite intensively in the distributed setting. While the problem is hard to approximate in general, there are good approximation algorithms…

数据结构与算法 · 计算机科学 2025-06-13 Salwa Faour , Fabian Kuhn

We investigate graph problems in the following setting: we are given a graph $G$ and we are required to solve a problem on $G^2$. While we focus mostly on exploring this theme in the distributed CONGEST model, we show new results and…

数据结构与算法 · 计算机科学 2020-06-09 Reuven Bar-Yehuda , Keren Censor-Hillel , Yannic Maus , Shreyas Pai , Sriram V. Pemmaraju