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This paper presents new results for the (partial) maximum a posteriori (MAP) problem in Bayesian networks, which is the problem of querying the most probable state configuration of some of the network variables given evidence. First, it is…

人工智能 · 计算机科学 2010-07-30 Cassio P. de Campos

Constructing the maximum spanning tree $T$ of an edge-weighted connected graph $G$ is one of the important research topics in computer science and optimization, and the related research results have played an active role in practical…

组合数学 · 数学 2024-12-30 Hui Lei , Mei Lu , Yongtang Shi , Jian Sun , Xiamiao Zhao

This paper advances the state of the art in girth approximation within the CONGEST model. Manoharan and Ramachandran [PODC '24] provided the first significant improvement in girth approximation in over a decade. We build on this momentum…

数据结构与算法 · 计算机科学 2026-03-31 Shiri Chechik , Gur Lifshitz , Doron Mukhtar

We develop and analyze methods for computing provably optimal {\em maximum a posteriori} (MAP) configurations for a subclass of Markov random fields defined on graphs with cycles. By decomposing the original distribution into a convex…

信息论 · 计算机科学 2007-07-13 Martin J. Wainwright , Tommi S. Jaakkola , Alan S. Willsky

This work considers the distributed computation of the one-to-one vertex correspondences between two undirected and connected graphs, which is called \textit{graph matching}, over multi-agent networks. Given two \textit{isomorphic} and…

最优化与控制 · 数学 2020-02-21 Quoc Van Tran , Zhiyong Sun , Brian D. O. Anderson , Hyo-Sung Ahn

Many of the distributed localization algorithms are based on relaxed optimization formulations of the localization problem. These algorithms commonly rely on first-order optimization methods, and hence may require many iterations or…

In this paper we reassess the parameterized complexity and approximability of the well-studied Steiner Forest problem in several graph classes of bounded width. The problem takes an edge-weighted graph and pairs of vertices as input, and…

数据结构与算法 · 计算机科学 2024-07-26 Andreas Emil Feldmann , Michael Lampis

Distributed parameter estimation for large-scale systems is an active research problem. The goal is to derive a distributed algorithm in which each agent obtains a local estimate of its own subset of the global parameter vector, based on…

多智能体系统 · 计算机科学 2018-06-26 Tianju Sui , Damián Marelli , Minyue Fu , Renquan Lu

This paper gives simple distributed algorithms for the fundamental problem of computing graph distances in the Congested Clique model. One of the main components of our algorithms is fast matrix multiplication, for which we show an…

分布式、并行与集群计算 · 计算机科学 2015-03-24 Keren Censor-Hillel , Ami Paz

Many network design problems deal with the design of low-cost networks that are resilient to the failure of their elements, such as nodes or links. One such problem is Connectivity Augmentation, where the goal is to cheaply increase the…

数据结构与算法 · 计算机科学 2021-08-05 Haris Angelidakis , Dylan Hyatt-Denesik , Laura Sanità

Motivated by economic dispatch and linearly-constrained resource allocation problems, this paper proposes a novel Distributed Approx-Newton algorithm that approximates the standard Newton optimization method. A main property of this…

数值分析 · 计算机科学 2017-03-24 Tor Anderson , Chin-Yao Chang , Sonia Martinez

This paper studies the fastest distributed consensus averaging problem on branches of an arbitrary connected sensor network. In the previous works full knowledge about the sensor network's connectivity topology was required for determining…

信息论 · 计算机科学 2011-06-06 Saber Jafarizadeh , Abbas Jamalipour

This paper develops a continuous-time primal-dual accelerated method with an increasing damping coefficient for a class of convex optimization problems with affine equality constraints. This paper analyzes critical values for parameters in…

最优化与控制 · 数学 2022-02-16 Xianlin Zeng , Jinlong Lei , Jie Chen

In the laminar-constrained spanning tree problem, the goal is to find a minimum-cost spanning tree which respects upper bounds on the number of times each cut in a given laminar family is crossed. This generalizes the well-studied…

数据结构与算法 · 计算机科学 2023-04-18 Nathan Klein , Neil Olver

We investigate the tractability of a simple fusion of two fundamental structures on graphs, a spanning tree and a perfect matching. Specifically, we consider the following problem: given an edge-weighted graph, find a minimum-weight…

数据结构与算法 · 计算机科学 2024-07-12 Kristóf Bérczi , Tamás Király , Yusuke Kobayashi , Yutaro Yamaguchi , Yu Yokoi

Consider a setting where possibly sensitive information sent over a path in a network is visible to every {neighbor} of the path, i.e., every neighbor of some node on the path, thus including the nodes on the path itself. The exposure of a…

数据结构与算法 · 计算机科学 2012-12-27 Shiri Chechik , M. P. Johnson , Merav Parter , David Peleg

In the k-arc connected subgraph problem, we are given a directed graph G and an integer k and the goal is the find a subgraph of minimum cost such that there are at least k-arc disjoint paths between any pair of vertices. We give a simple…

数据结构与算法 · 计算机科学 2012-05-09 Bundit Laekhanukit , Shayan Oveis Gharan , Mohit Singh

Let $G=(V,E)$ and $H$ be two graphs. Packing problem is to find in $G$ the largest number of independent subgraphs each of which is isomorphic to $H$. Let $U\subset{V}$. If the graph $G-U$ has no subgraph isomorphic to $H$, $U$ is a cover…

组合数学 · 数学 2013-09-17 Jia Zhao , Jianfeng Guan , Changqiao Xu , Hongke Zhang

We study a generalization of the Steiner tree problem, where we are given a weighted network $G$ together with a collection of $k$ subsets of its vertices and a root $r$. We wish to construct a minimum cost network such that the network…

数据结构与算法 · 计算机科学 2017-07-12 Guru Guruganesh , Jennifer Iglesias , R. Ravi , Laura Sanità

Given a graph $G = (V,E)$ and a subset $T \subseteq V$ of terminals, a \emph{Steiner tree} of $G$ is a tree that spans $T$. In the vertex-weighted Steiner tree (VST) problem, each vertex is assigned a non-negative weight, and the goal is to…

数据结构与算法 · 计算机科学 2019-05-07 Faryad Darabi Sahneh , Alon Efrat , Stephen Kobourov , Spencer Krieger , Richard Spence