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This paper addresses the problem of distributed learning of average belief with sequential observations, in which a network of $n>1$ agents aim to reach a consensus on the average value of their beliefs, by exchanging information only with…

Multiagent Systems · Computer Science 2018-11-20 Kaiqing Zhang , Yang Liu , Ji Liu , Mingyan Liu , Tamer Başar

The Bethe approximation, or loopy belief propagation algorithm is a successful method for approximating partition functions of probabilistic models associated with a graph. Chertkov and Chernyak derived an interesting formula called Loop…

Discrete Mathematics · Computer Science 2009-11-14 Yusuke Watanabe , Kenji Fukumizu

We present a novel learning-based method that achieves state-of-the-art performance on several heart rate estimation benchmarks extracted from photoplethysmography signals (PPG). We consider the evolution of the heart rate in the context of…

Machine Learning · Computer Science 2023-06-16 Valentin Bieri , Paul Streli , Berken Utku Demirel , Christian Holz

Statistical Relational Models and, more recently, Probabilistic Programming, have been making strides towards an integration of logic and probabilistic reasoning. A natural expectation for this project is that a probabilistic logic…

Artificial Intelligence · Computer Science 2017-07-28 Gabriel Azevedo Ferreira , Quentin Bertrand , Charles Maussion , Rodrigo de Salvo Braz

Decoding sparse quantum codes can be accomplished by syndrome-based decoding using a belief propagation (BP) algorithm.We significantly improve this decoding scheme by developing a new feedback adjustment strategy for the standard BP…

Quantum Physics · Physics 2013-09-25 Yun-Jiang Wang , Barry C. Sanders , Bao-Ming Bai , Xin-Mei Wang

In recent years the belief network has been used increasingly to model systems in Al that must perform uncertain inference. The development of efficient algorithms for probabilistic inference in belief networks has been a focus of much…

Artificial Intelligence · Computer Science 2013-03-08 Peter Che , Richard E. Neapolitan , James Kenevan , Martha Evens

Many models of interest in the natural and social sciences have no closed-form likelihood function, which means that they cannot be treated using the usual techniques of statistical inference. In the case where such models can be…

Computation · Statistics 2012-07-19 Simon Barthelmé , Nicolas Chopin

This paper presents an enhanced belief propagation (BP) decoding algorithm and a reinforcement learning-based BP decoding algorithm for polar codes. The enhanced BP algorithm weighs each Processing Element (PE) input based on their signals…

Information Theory · Computer Science 2021-11-02 L. M. Oliveira , R. M. Oliveira , R. C. de Lamare

We study feature propagation on graph, an inference process involved in graph representation learning tasks. It's to spread the features over the whole graph to the $t$-th orders, thus to expand the end's features. The process has been…

Social and Information Networks · Computer Science 2018-04-18 Biao Xiang , Ziqi Liu , Jun Zhou , Xiaolong Li

We present an exact method of greatly speeding up belief propagation (BP) for a wide variety of potential functions in pairwise MRFs and other graphical models. Specifically, our technique applies whenever the pairwise potentials have been…

Computer Vision and Pattern Recognition · Computer Science 2010-10-04 James M. Coughlan , Huiying Shen

We consider the problem of interactive partially observable Markov decision processes (I-POMDPs), where the agents are located at the nodes of a communication network. Specifically, we assume a certain message type for all messages.…

Artificial Intelligence · Computer Science 2020-11-11 Yitao Chen , Deepanshu Vasal

We apply Guo and Wang's relaxed belief propagation (BP) method to the estimation of a random vector from linear measurements followed by a componentwise probabilistic measurement channel. Relaxed BP uses a Gaussian approximation in standard…

Information Theory · Computer Science 2010-05-19 Sundeep Rangan

We study iterative blind symbol detection for block-fading linear inter-symbol interference channels. Based on the factor graph framework, we design a joint channel estimation and detection scheme that combines the expectation maximization…

Information Theory · Computer Science 2024-08-06 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen

In this paper, we model an extended DC state estimation (SE) in an electric power system as a factor graph (FG) and solve it using belief propagation (BP) algorithm. The DC model comprises bus voltage angles as state variables, while the…

Information Theory · Computer Science 2016-11-15 Mirsad Cosovic , Dejan Vukobratovic

Reputation systems seek to infer which members of a community can be trusted based on ratings they issue about each other. We construct a Bayesian inference model and simulate approximate estimates using belief propagation (BP). The model…

Disordered Systems and Neural Networks · Physics 2013-10-01 Andre Manoel , Renato Vicente

Quantum stabilizer codes constructed from sparse matrices have good performance and can be efficiently decoded by belief propagation (BP). A conventional BP decoding algorithm treats binary stabilizer codes as additive codes over GF(4).…

Quantum Physics · Physics 2020-10-21 Kao-Yueh Kuo , Ching-Yi Lai

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 2009-04-16 Ori Shental , Paul H. Siegel , Jack K. Wolf , Danny Bickson , Danny Dolev

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

Receiver algorithms which combine belief propagation (BP) with the mean field (MF) approximation are well-suited for inference of both continuous and discrete random variables. In wireless scenarios involving detection of multiple signals,…

Information Theory · Computer Science 2016-04-19 Daniel J. Jakubisin , R. Michael Buehrer , Claudio R. C. M. da Silva

Expectation propagation is a general approach to fast approximate inference for graphical models. The existing literature treats models separately when it comes to deriving and coding expectation propagation inference algorithms. This comes…

Methodology · Statistics 2018-01-17 Wilson Y. Chen , Matt P. Wand