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Gaussian belief propagation (BP) has been widely used for distributed estimation in large-scale networks such as the smart grid, communication networks, and social networks, where local measurements/observations are scattered over a wide…

Machine Learning · Computer Science 2017-04-14 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

A reliable, accurate, and affordable positioning service is highly required in wireless networks. In this paper, the novel Message Passing Hybrid Localization (MPHL) algorithm is proposed to solve the problem of cooperative distributed…

Information Theory · Computer Science 2024-10-30 Hassan Naseri , Visa Koivunen

Belief propagation (BP) is a powerful tool to solve distributed inference problems, though it is limited by short cycles in the corresponding factor graph. Such cycles may lead to incorrect solutions or oscillatory behavior. Only for…

Systems and Control · Computer Science 2018-02-08 Christopher Lindberg , Julien M. Hendrickx , Henk Wymeersch

Belief propagation (BP) can do exact inference in loop-free graphs, but its performance could be poor in graphs with loops, and the understanding of its solution is limited. This work gives an interpretable belief propagation rule that is…

Machine Learning · Computer Science 2019-08-26 Dong Liu , Nima N. Moghadam , Lars K. Rasmussen , Jinliang Huang , Saikat Chatterjee

The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we develop a solution based upon Gaussian belief propagation…

Information Theory · Computer Science 2008-10-08 Ori Shental , Danny Bickson , Paul H. Siegel , Jack K. Wolf , Danny Dolev

The max-product {belief propagation} (BP) is a popular message-passing heuristic for approximating a maximum-a-posteriori (MAP) assignment in a joint distribution represented by a graphical model (GM). In the past years, it has been shown…

Artificial Intelligence · Computer Science 2017-06-29 Sejun Park , Jinwoo Shin

Due to the intractable nature of exact lifted inference, research has recently focused on the discovery of accurate and efficient approximate inference algorithms in Statistical Relational Models (SRMs), such as Lifted First-Order Belief…

Artificial Intelligence · Computer Science 2016-07-01 David Smith , Parag Singla , Vibhav Gogate

The belief propagation (BP) algorithm is widely applied to perform approximate inference on arbitrary graphical models, in part due to its excellent empirical properties and performance. However, little is known theoretically about when…

Artificial Intelligence · Computer Science 2012-06-26 Alexander T. Ihler

Belief propagation (BP) is a message-passing method for solving probabilistic graphical models. It is very successful in treating disordered models (such as spin glasses) on random graphs. On the other hand, finite-dimensional lattice…

Statistical Mechanics · Physics 2016-02-17 Hai-Jun Zhou , Wei-Mou Zheng

The generalized belief propagation (GBP), introduced by Yedidia et al., is an extension of the belief propagation (BP) algorithm, which is widely used in different problems involved in calculating exact or approximate marginals of…

Machine Learning · Computer Science 2016-05-09 Farzin Haddadpour , Mahdi Jafari Siavoshani , Morteza Noshad

Parametric message passing (MP) is a promising technique that provides reliable marginal probability distributions for distributed cooperative positioning (DCP) based on factor graphs (FG), while maintaining minimal computational…

Signal Processing · Electrical Eng. & Systems 2025-05-20 Yue Cao , Shaoshi Yang , Zhiyong Feng

Decentralized coordination for multi-robot systems involves planning in challenging, high-dimensional spaces. The planning problem is particularly challenging in the presence of obstacles and different sources of uncertainty such as…

Robotics · Computer Science 2024-03-13 Jana Pavlasek , Joshua Jing Zhi Mah , Ruihan Xu , Odest Chadwicke Jenkins , Fabio Ramos

Radio-based localization systems conventionally require stationary reference points (e.g. anchors) with precisely surveyed positions, making deployment time-consuming and costly. This paper presents an empirical evaluation of collaborative…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Paul Schwarzbach , Andrea Jung

Message passing type algorithms such as the so-called Belief Propagation algorithm have recently gained a lot of attention in the statistics, signal processing and machine learning communities as attractive algorithms for solving a variety…

Discrete Mathematics · Computer Science 2016-03-10 David Gamarnik , Devavrat Shah , Yehua Wei

Geographic routing offers guaranteed packet deliv- ery in a dense network. In this routing, packets are forwarded to a node which is nearer to the destination with an extensive use of location information. However, research studies in…

Networking and Internet Architecture · Computer Science 2014-07-24 Raghu Vamsi. P , Payal Khurana Batra , Krishna Kant

Generalized belief propagation (GBP) has proven to be a promising technique for approximate inference tasks in AI and machine learning. However, the choice of a good set of clusters to be used in GBP has remained more of an art then a…

Artificial Intelligence · Computer Science 2012-07-19 Max Welling

We consider the problem of sensor localization in a wireless network in a multipath environment, where time and angle of arrival information are available at each sensor. We propose a distributed algorithm based on belief propagation, which…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-28 Mei Leng , Wee Peng Tay , Tony Q. S. Quek

Max-product Belief Propagation (BP) is a popular message-passing algorithm for computing a Maximum-A-Posteriori (MAP) assignment over a distribution represented by a Graphical Model (GM). It has been shown that BP can solve a number of…

Data Structures and Algorithms · Computer Science 2015-09-24 Sungsoo Ahn , Sejun Park , Michael Chertkov , Jinwoo Shin

Cognitive Radio has been proposed as a key technology to significantly improve spectrum usage in wireless networks by enabling unlicensed users to access unused resource. We present new algorithms that are needed for the implementation of…

Information Theory · Computer Science 2013-10-22 Hamed Mahmoudi , Georgios Rodolakis , Leonidas Georgiadis , David Saad

A number of problems in statistical physics and computer science can be expressed as the computation of marginal probabilities over a Markov random field. Belief propagation, an iterative message-passing algorithm, computes exactly such…

Machine Learning · Statistics 2012-10-23 Victorin Martin , Jean-Marc Lasgouttes , Cyril Furtlehner