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Influence diagrams represent decision-making problems with interdependencies between random events, decisions, and consequences. Traditionally, they have been solved using algorithms that determine the expected utility-maximizing decision…

Optimization and Control · Mathematics 2026-01-14 Topias Terho , Fabricio Oliveira , Ahti Salo , Pedro Munari

Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including…

Machine Learning · Computer Science 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

Data Structures and Algorithms · Computer Science 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

In this paper, we focus on the problem of data sharing over a wireless computer network (i.e., a wireless grid). Given a set of available data, we present a distributed algorithm which operates over a dynamically changing network, and…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

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…

Information Theory · Computer Science 2007-07-13 Martin J. Wainwright , Tommi S. Jaakkola , Alan S. Willsky

Maximum weight matching is one of the most fundamental combinatorial optimization problems with a wide range of applications in data mining and bioinformatics. Developing distributed weighted matching algorithms is challenging due to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-06 Sepehr Assadi , MohammadHossein Bateni , Vahab Mirrokni

This work bridges the gap between distributed and centralised models of computing in the context of sublinear-time graph algorithms. A priori, typical centralised models of computing (e.g., parallel decision trees or centralised local…

Data Structures and Algorithms · Computer Science 2015-12-18 Mika Göös , Juho Hirvonen , Reut Levi , Moti Medina , Jukka Suomela

A Hamiltonian decomposition of a regular graph is a partition of its edge set into Hamiltonian cycles. The problem of finding edge-disjoint Hamiltonian cycles in a given regular graph has many applications in combinatorial optimization and…

Combinatorics · Mathematics 2022-01-12 Andrey Kostenko , Andrei Nikolaev

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…

Data Structures and Algorithms · Computer Science 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

Maximum a posteriori (MAP) inference is an important task for graphical models. Due to complex dependencies among variables in realistic model, finding an exact solution for MAP inference is often intractable. Thus, many approximation…

Machine Learning · Computer Science 2020-01-22 Baoyuan Wu , Li Shen , Tong Zhang , Bernard Ghanem

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

Optimization and Control · Mathematics 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

This paper develops distributed synchronous and asynchronous algorithms for the large-scale semi-definite programming with diagonal constraints, which has wide applications in combination optimization, image processing and community…

Optimization and Control · Mathematics 2021-04-02 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

Asymmetric distributed constraint optimization problems (ADCOPs) are an emerging model for coordinating agents with personal preferences. However, the existing inference-based complete algorithms which use local eliminations cannot be…

Multiagent Systems · Computer Science 2019-06-05 Yanchen Deng , Ziyu Chen , Dingding Chen , Wenxin Zhang , Xingqiong Jiang

This paper presents a robust, distributed algorithm to solve general linear programs. The algorithm design builds on the characterization of the solutions of the linear program as saddle points of a modified Lagrangian function. We show…

Optimization and Control · Mathematics 2014-09-26 Dean Richert , Jorge Cortes

In this paper, we develop a two-stage distributed algorithm that enables nodes in a graph to cooperatively estimate the spectrum of a matrix $W$ associated with the graph, which includes the adjacency and Laplacian matrices as special…

Systems and Control · Computer Science 2015-03-30 Mu Yang , Choon Yik Tang

The aim of this work is to develop a fully-distributed algorithmic framework for training graph convolutional networks (GCNs). The proposed method is able to exploit the meaningful relational structure of the input data, which are collected…

Machine Learning · Computer Science 2022-12-21 Simone Scardapane , Indro Spinelli , Paolo Di Lorenzo

In this paper, we introduce the online and streaming MAP inference and learning problems for Non-symmetric Determinantal Point Processes (NDPPs) where data points arrive in an arbitrary order and the algorithms are constrained to use a…

Machine Learning · Computer Science 2021-11-30 Aravind Reddy , Ryan A. Rossi , Zhao Song , Anup Rao , Tung Mai , Nedim Lipka , Gang Wu , Eunyee Koh , Nesreen Ahmed

Motivated by mobile edge computing and wireless data centers, we study a wireless distributed computing framework where the distributed nodes exchange information over a wireless interference network. Our framework follows the structure of…

Information Theory · Computer Science 2018-10-19 Fan Li , Jinyuan Chen , Zhiying Wang

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés

Densest Subgraph Problem (DSP) is an important primitive problem with a wide range of applications, including fraud detection, community detection and DNA motif discovery. Edge-based density is one of the most common metrics in DSP.…

Databases · Computer Science 2023-10-31 Yugao Zhu , Shenghua Liu , Wenjie Feng , Xueqi Cheng
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