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Belief propagation (BP) is a message-passing heuristic for statistical inference in graphical models such as Bayesian networks and Markov random fields. BP is used to compute marginal distributions or maximum likelihood assignments and has…

Data Structures and Algorithms · Computer Science 2012-11-15 Tobias Brunsch , Kamiel Cornelissen , Bodo Manthey , Heiko Röglin

There is an increasing interest in scaling tensor network methods through belief propagation (BP), as well as increasing the accuracy of BP through tensor network methods. We develop a unification framework that takes an arbitrary graphical…

Quantum Physics · Physics 2025-11-25 Pedro Hack , Jonas Hitter , Christian B. Mendl , Alexandru Paler

Localization and synchronization are very important in many wireless applications such as monitoring and vehicle tracking. Utilizing the same time of arrival (TOA) measurements for simultaneous localization and synchronization is…

Information Theory · Computer Science 2016-01-18 Weijie Yuan , Nan Wu , Bernhard Etzlinger , Hua Wang , Jingming Kuang

We design iterative receiver schemes for a generic wireless communication system by treating channel estimation and information decoding as an inference problem in graphical models. We introduce a recently proposed inference framework that…

This paper proposes a novel layered belief propagation (BP) detector with a concatenated structure of two different BP layers for low-complexity large multi-user multi-input multi-output (MU-MIMO) detection based on statistical beams. To…

Information Theory · Computer Science 2026-03-30 Takumi Takahashi , Antti Tölli , Shinsuke Ibi , Seiichi Sampei

This paper proposes a new 3D gas distribution mapping technique based on the local message passing of Gaussian belief propagation that is capable of resolving in real time, concentration estimates in 3D space whilst accounting for the…

Robotics · Computer Science 2023-03-07 Callum Rhodes , Cunjia Liu , Wen-Hua Chen

This paper studies the convergence rate of a message-passing distributed algorithm for solving a large-scale linear system. This problem is generalised from the celebrated Gaussian Belief Propagation (BP) problem for statistical learning…

Systems and Control · Electrical Eng. & Systems 2020-04-15 Zhaorong Zhang , Qianqian Cai , Minyue Fu

Images are the standard input for most computer vision algorithms. However, their processing often reduces to parallelizable operations applied locally and independently to individual pixels. Yet, many of these low-level raw pixel readings…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Ignacio Alzugaray , Riku Murai , Andrew Davison

Graphical models use the intuitive and well-studied methods of graph theory to implicitly represent dependencies between variables in large systems. They can model the global behaviour of a complex system by specifying only local factors.…

Artificial Intelligence · Computer Science 2015-08-21 Siamak Ravanbakhsh

Variational inference algorithms such as belief propagation have had tremendous impact on our ability to learn and use graphical models, and give many insights for developing or understanding exact and approximate inference. However,…

Artificial Intelligence · Computer Science 2012-10-19 Qiang Liu , Alexander T. Ihler

The cluster variation method has been developed into a general theoretical framework for treating short-range correlations in many-body systems after it was first proposed by Kikuchi in 1951. On the numerical side, a message-passing…

Information Theory · Computer Science 2014-04-22 Chuang Wang , Hai-Jun Zhou

In this work, we investigate a reconfigurable intelligent surface (RIS) aided integrated sensing and communication scenario, where a base station (BS) communicates with multiple devices in a full-duplex mode, and senses the positions of…

Signal Processing · Electrical Eng. & Systems 2022-08-16 Zhichao Shao , Xiaojun Yuan , Wei Zhang , Marco Di Renzo

For a network formed by nodes and undirected links between pairs of nodes, the network optimal attack problem aims at deleting a minimum number of target nodes to break the network down into many small components. This problem is…

Physics and Society · Physics 2016-07-20 Salomon Mugisha , Hai-Jun Zhou

We apply belief propagation (BP) to multi--user detection in a spread spectrum system, under the assumption of Gaussian symbols. We prove that BP is both convergent and allows to estimate the correct conditional expectation of the input…

Information Theory · Computer Science 2007-07-13 Andrea Montanari , Balaji Prabhakar , David Tse

Locating each node in a wireless sensor network is essential for starting the monitoring job and sending information about the area. One method that has been used in hard and inaccessible environments is randomly scattering each node in the…

Networking and Internet Architecture · Computer Science 2021-07-07 Saeed Ghadiri

In the context of inference with expectation constraints, we propose an approach based on the "loopy belief propagation" algorithm LBP, as a surrogate to an exact Markov Random Field MRF modelling. A prior information composed of…

Machine Learning · Computer Science 2015-05-13 Cyril Furtlehner , Jean-Marc Lasgouttes , Anne Auger

The Bethe approximation, discovered in statistical physics, gives an efficient algorithm called belief propagation (BP) for approximating a partition function. BP empirically gives an accurate approximation for many problems, e.g.,…

Information Theory · Computer Science 2012-10-11 Ryuhei Mori , Toshiyuki Tanaka

In this paper, we present a belief propagation (BP) based algorithm for decoding non-orthogonal space-time block codes (STBC) from cyclic division algebras (CDA) having {\em large dimensions}. The proposed approach involves message passing…

Information Theory · Computer Science 2009-01-14 Madhekar Suneel , Pritam Som , A. Chockalingam , B. Sundar Rajan

Gaussian belief propagation (GBP) is a recursive computation method that is widely used in inference for computing marginal distributions efficiently. Depending on how the factorization of the underlying joint Gaussian distribution is…

Information Theory · Computer Science 2018-01-22 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

Gaussian Belief Propagation (BP) algorithm is one of the most important distributed algorithms in signal processing and statistical learning involving Markov networks. It is well known that the algorithm correctly computes marginal density…

Machine Learning · Statistics 2019-03-08 Zhaorong Zhang , Minyue Fu
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