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Message passing algorithms have proved surprisingly successful in solving hard constraint satisfaction problems on sparse random graphs. In such applications, variables are fixed sequentially to satisfy the constraints. Message passing is…

Artificial Intelligence · Computer Science 2019-06-05 Andrea Montanari , Federico Ricci-Tersenghi , Guilhem Semerjian

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

We propose an original particle-based implementation of the Loopy Belief Propagation (LPB) algorithm for pairwise Markov Random Fields (MRF) on a continuous state space. The algorithm constructs adaptively efficient proposal distributions…

Computation · Statistics 2015-06-22 Thibaut Lienart , Yee Whye Teh , Arnaud Doucet

We present a Bayesian approach for the Contamination Source Detection problem in Water Distribution Networks. Given an observation of contaminants in one or more nodes in the network, we try to give probable explanation for it assuming that…

Data Analysis, Statistics and Probability · Physics 2018-09-28 Ernesto Ortega , Alfredo Braunstein , Alejandro Lage-Castellanos

We consider the problem of maximum likelihood estimation in linear models represented by factor graphs and solved via the Gaussian belief propagation algorithm. Motivated by massive internet of things (IoT) networks and edge computing, we…

Information Theory · Computer Science 2023-05-31 Mirsad Cosovic , Dragisa Miskovic , Muhamed Delalic , Darijo Raca , Dejan Vukobratovic

Community detection has attracted considerable attention crossing many areas as it can be used for discovering the structure and features of complex networks. With the increasing size of social networks in real world, community detection…

Artificial Intelligence · Computer Science 2016-06-14 Kuang Zhou , Arnaud Martin , Quan Pan , Zhun-Ga Liu

In distributed target tracking for wireless sensor networks, agreement on the target state can be achieved by the construction and maintenance of a communication path, in order to exchange information regarding local likelihood functions.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Vladimir Savic , Henk Wymeersch , Santiago Zazo

Efficient inference in high-dimensional models is a central challenge in machine learning. We introduce the Gaussian Ensemble Belief Propagation (GEnBP) algorithm, which combines the strengths of the Ensemble Kalman Filter (EnKF) and…

Machine Learning · Computer Science 2025-02-12 Dan MacKinlay , Russell Tsuchida , Dan Pagendam , Petra Kuhnert

A recently introduced novel community detection strategy is based on a label propagation algorithm (LPA) which uses the diffusion of information in the network to identify communities. Studies of LPAs showed that the strategy is effective…

Social and Information Networks · Computer Science 2013-03-28 Gennaro Cordasco , Luisa Gargano

Label propagation has proven to be an extremely fast method for detecting communities in large complex networks. Furthermore, due to its simplicity, it is also currently one of the most commonly adopted algorithms in the literature. Despite…

Physics and Society · Physics 2011-06-29 Lovro Šubelj , Marko Bajec

Belief propagation has recently emerged as a powerful framework for evaluating tensor networks in higher dimensions, combining computational efficiency with provable analytical guarantees. In this work, we develop the first end-to-end…

Quantum Physics · Physics 2026-04-24 Siddhant Midha , Yifan F. Zhang , Daniel Malz , Dmitry A. Abanin , Sarang Gopalakrishnan

Behavioral experiments on humans and animals suggest that the brain performs probabilistic inference to interpret its environment. Here we present a new general-purpose, biologically-plausible neural implementation of approximate inference.…

Neurons and Cognition · Quantitative Biology 2016-05-24 Rajkumar Vasudeva Raju , Xaq Pitkow

Graph-based semi-supervised learning is the problem of propagating labels from a small number of labelled data points to a larger set of unlabelled data. This paper is concerned with the consistency of optimization-based techniques for such…

Machine Learning · Statistics 2020-03-11 Franca Hoffmann , Bamdad Hosseini , Zhi Ren , Andrew M. Stuart

With the wide-spread availability of complex relational data, semi-supervised node classification in graphs has become a central machine learning problem. Graph neural networks are a recent class of easy-to-train and accurate methods for…

Machine Learning · Computer Science 2021-06-08 Junteng Jia , Cenk Baykal , Vamsi K. Potluru , Austin R. Benson

The spread of misinformation poses a threat to the social media ecosystem. Effective countermeasures to mitigate this threat require that social media platforms be able to accurately detect low-credibility accounts even before the content…

Social and Information Networks · Computer Science 2024-01-26 Bao Tran Truong , Oliver Melbourne Allen , Filippo Menczer

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

We first present an empirical study of the Belief Propagation (BP) algorithm, when run on the random field Ising model defined on random regular graphs in the zero temperature limit. We introduce the notion of maximal solutions for the BP…

Disordered Systems and Neural Networks · Physics 2018-02-01 Gabriele Perugini , Federico Ricci-Tersenghi

As problems in political polarization and the spread of misinformation become serious, belief propagation on a social network becomes an important question to explore. Previous breakthroughs have been made in algorithmic approaches to…

Social and Information Networks · Computer Science 2025-05-02 Yujian Fu

We propose a new algorithm for binary quantization based on the Belief Propagation algorithm with decimation over factor graphs of Low Density Generator Matrix (LDGM) codes. This algorithm, which we call Bias Propagation (BiP), can be…

Information Theory · Computer Science 2007-10-03 Tomas Filler , Jessica Fridrich

In this paper we present results from a method of community detection using label propagation in undirected, unweighted graphs which incorporates elements of neural computing and spike-based data. Using a fully connected, edge-weighted…

Disordered Systems and Neural Networks · Physics 2018-10-24 Kathleen E. Hamilton , Travis S. Humble