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Location-aware networks will introduce innovative services and applications for modern convenience, applied ocean sciences, and public safety. In this paper, we establish a hybrid method for model-based and data-driven inference. We…

Machine Learning · Computer Science 2021-05-28 Mingchao Liang , Florian Meyer

The belief propagation (BP) algorithm is an efficient way to solve "inference" problems in graphical models, such as Bayesian networks and Markov random fields. The system-state probability distribution of CSMA wireless networks is a Markov…

Networking and Internet Architecture · Computer Science 2011-07-15 Cai Hong Kai , Soung Chang Liew

Belief Propagation (BP) is an efficient message-passing algorithm widely used for inference in graphical models and for solving various problems in statistical physics. However, BP often yields inaccurate estimates of order parameters and…

Social and Information Networks · Computer Science 2025-10-23 Seongmin Kim , Alec Kirkley

Cooperative localization (CL) is an important technology for innovative services such as location-aware communication networks, modern convenience, and public safety. We consider wireless networks with mobile agents that aim to localize…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Lukas Wielandner , Erik Leitinger , Florian Meyer , Klaus Witrisal

In this paper, we investigate distributed inference schemes, over binary-valued Markov random fields, which are realized by the belief propagation (BP) algorithm. We first show that a decision variable obtained by the BP algorithm in a…

Information Theory · Computer Science 2019-09-19 Younes Abdi , Tapani Ristaniemi

We present a detailed study on application of factor graphs and the belief propagation (BP) algorithm to the power system state estimation (SE) problem. We start from the BP solution for the linear DC model, for which we provide a detailed…

Information Theory · Computer Science 2018-11-21 Mirsad Cosovic

We present a novel distributed Gauss-Newton method for the non-linear state estimation (SE) model based on a probabilistic inference method called belief propagation (BP). The main novelty of our work comes from applying BP sequentially…

Information Theory · Computer Science 2018-08-28 Mirsad Cosovic , Dejan Vukobratovic

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

Machine Learning · Computer Science 2017-11-21 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

Belief propagation is an algorithm that is known from statistical physics and computer science. It provides an efficient way of calculating marginals that involve large sums of products which are efficiently rearranged into nested products…

Artificial Intelligence · Computer Science 2020-12-22 Tim Ritmeester , Hildegard Meyer-Ortmanns

Belief propagation (BP) is a popular method for performing probabilistic inference on graphical models. In this work, we enhance BP and propose self-guided belief propagation (SBP) that incorporates the pairwise potentials only gradually.…

Machine Learning · Statistics 2024-10-30 Christian Knoll , Adrian Weller , Franz Pernkopf

Distributed integrated sensing and communication (DISAC) systems are key enablers for 6G networks, offering the capability to jointly track multiple targets using spatially distributed base stations (BSs). A fundamental challenge in DISAC…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Liping Bai , Yu Ge , Henk Wymeersch

The framework of statistical inference has been successfully used to detect the meso-scale structures in complex networks, such as community structure, core-periphery (CP) structure. The main principle is that the stochastic block model…

Physics and Society · Physics 2018-08-29 Chuang Ma , Bing-Bing Xiang , Han-Shuang Chen , Hai-Feng Zhang

Belief Propagation (BP) is a widely used approximation for exact probabilistic inference in graphical models, such as Markov Random Fields (MRFs). In graphs with cycles, however, no exact convergence guarantees for BP are known, in general.…

Artificial Intelligence · Computer Science 2016-12-28 Wolfgang Gatterbauer

Belief Propagation (BP) is a message-passing algorithm for approximate inference over Probabilistic Graphical Models (PGMs), finding many applications such as computer vision, error-correcting codes, and protein-folding. While general, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-26 Mark Van der Merwe , Vinu Joseph , Ganesh Gopalakrishnan

Belief Propagation (BP) is a popular, distributed heuristic for performing MAP computations in Graphical Models. BP can be interpreted, from a variational perspective, as minimizing the Bethe Free Energy (BFE). BP can also be used to solve…

Artificial Intelligence · Computer Science 2013-05-20 Andrew Gelfand , Jinwoo Shin , Michael Chertkov

Belief propagation (BP) algorithm is a widely used message-passing method for inference in graphical models. BP on loop-free graphs converges in linear time. But for graphs with loops, BP's performance is uncertain, and the understanding of…

Machine Learning · Statistics 2020-06-30 Dong Liu , Minh Thành Vu , Zuxing Li , Lars K. Rasmussen

It has been shown that cooperative localization is capable of improving both the positioning accuracy and coverage in scenarios where the global positioning system (GPS) has a poor performance. However, due to its potentially excessive…

Information Theory · Computer Science 2016-01-19 Tiejun Lv , Hui Gao , Xiaopeng Li , Shaoshi Yang , Lajos Hanzo

How can we tell when accounts are fake or real in a social network? And how can we tell which accounts belong to liberal, conservative or centrist users? Often, we can answer such questions and label nodes in a network based on the labels…

Databases · Computer Science 2014-10-17 Wolfgang Gatterbauer , Stephan Günnemann , Danai Koutra , Christos Faloutsos

Belief Propagation (BP) is a powerful algorithm for distributed inference in probabilistic graphical models, however it quickly becomes infeasible for practical compute and memory budgets. Many efficient, non-parametric forms of BP have…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-30 Tom Yates , Yuzhou Cheng , Ignacio Alzugaray , Danyal Akarca , Pedro A. M. Mediano , Andrew J. Davison

Gaussian belief propagation (GaBP) is a technique that relies on linearized error and input-output models to yield low-complexity solutions to complex estimation problems, which has been recently shown to be effective in the design of…

Signal Processing · Electrical Eng. & Systems 2026-02-05 Niclas Führling , Hyeon Seok Rou , Giuseppe Abreu , David González G. , Osvaldo Gonsa
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