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This paper presents a novel communication-efficient parallel belief propagation (CE-PBP) algorithm for training latent Dirichlet allocation (LDA). Based on the synchronous belief propagation (BP) algorithm, we first develop a parallel…

Machine Learning · Computer Science 2012-06-12 Jian-feng Yan , Zhi-Qiang Liu , Yang Gao , Jia Zeng

This paper considers the problem of tracking a large-scale number of group targets. Usually, multi-target in most tracking scenarios are assumed to have independent motion and are well-separated. However, for group target tracking (GTT),…

Machine Learning · Computer Science 2022-08-26 Xuqi Zhang , Fanqin Meng , Haiqi Liu , Xiaojing Shen , Yunmin Zhu

We present a differentiable approach to learn the probabilistic factors used for inference by a nonparametric belief propagation algorithm. Existing nonparametric belief propagation methods rely on domain-specific features encoded in the…

We consider the general problem of finding the minimum weight $\bm$-matching on arbitrary graphs. We prove that, whenever the linear programming (LP) relaxation of the problem has no fractional solutions, then the belief propagation (BP)…

Information Theory · Computer Science 2015-03-13 Mohsen Bayati , Christian Borgs , Jennifer Chayes , Riccardo Zecchina

We study the problem of semi-blind channel estimation and symbol detection in the uplink of multi-cell massive MIMO systems with spatially correlated time-varying channels. An algorithm based on expectation propagation (EP) is developed to…

Information Theory · Computer Science 2022-12-06 Mort Naraghi-Pour , Mohammed Rashid , Cesar Vargas-Rosales

Considering the problem of nonlinear and non-gaussian filtering of the graph signal, in this paper, a robust square root unscented Kalman filter based on graph signal processing is proposed. The algorithm uses a graph topology to generate…

Signal Processing · Electrical Eng. & Systems 2024-09-12 Jinhui Hu , Haiquan Zhao , Yi Peng

Belief propagation is a widely used message passing method for the solution of probabilistic models on networks such as epidemic models, spin models, and Bayesian graphical models, but it suffers from the serious shortcoming that it works…

Statistical Mechanics · Physics 2021-04-27 Alec Kirkley , George T. Cantwell , M. E. J. Newman

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

Belief Propagation has been widely used for marginal inference, however it is slow on problems with large-domain variables and high-order factors. Previous work provides useful approximations to facilitate inference on such models, but…

Machine Learning · Statistics 2013-11-15 Sameer Singh , Sebastian Riedel , Andrew McCallum

Gaussian belief propagation (GaBP) is an iterative message-passing algorithm for inference in Gaussian graphical models. It is known that when GaBP converges it converges to the correct MAP estimate of the Gaussian random vector and simple…

Information Theory · Computer Science 2010-03-23 Jason K. Johnson , Danny Bickson , Danny Dolev

We propose a method for tracking an unknown number of targets based on measurements provided by multiple sensors. Our method achieves low computational complexity and excellent scalability by running belief propagation on a suitably devised…

Data Structures and Algorithms · Computer Science 2017-05-24 Florian Meyer , Paolo Braca , Peter Willett , Franz Hlawatsch

We consider the non-coherent single-input multiple-output (SIMO) multiple access channel with general signaling under spatially correlated Rayleigh block fading. We propose a novel soft-output multi-user detector that computes an…

Information Theory · Computer Science 2020-06-05 Khac-Hoang Ngo , Maxime Guillaud , Alexis Decurninge , Sheng Yang , Philip Schniter

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

In this manuscript, a general method for deriving filtering algorithms that involve a network of interconnected Bayesian filters is proposed. This method is based on the idea that the processing accomplished inside each of the Bayesian…

Statistics Theory · Mathematics 2020-04-22 Giorgio M. Vitetta , Pasquale Di Viesti , Emilio Sirignano , Francesco Montorsi

Survey propagation (SP) is an exciting new technique that has been remarkably successful at solving very large hard combinatorial problems, such as determining the satisfiability of Boolean formulas. In a promising attempt at understanding…

Artificial Intelligence · Computer Science 2012-06-26 Lukas Kroc , Ashish Sabharwal , Bart Selman

Nonlinearity mitigation using digital signal processing has been shown to increase the achievable data rates of optical fiber transmission links. One especially effective technique is digital back propagation (DBP), an algorithm capable of…

Signal Processing · Electrical Eng. & Systems 2018-08-31 Tom Sherborne , Benjamin Banks , Daniel Semrau , Robert I. Killey , Polina Bayvel , Domaniç Lavery

In this paper, we revisit the Kalman filter theory. After giving the intuition on a simplified financial markets example, we revisit the maths underlying it. We then show that Kalman filter can be presented in a very different fashion using…

Statistical Finance · Quantitative Finance 2018-12-14 Eric Benhamou

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

Location awareness is now becoming a vital requirement for many practical applications. In this paper, we consider passive localization of multiple targets with one transmitter and several receivers based on time of arrival (TOA)…

Information Theory · Computer Science 2015-11-24 Nan Wu , Weijie Yuan , Hua Wang , Jingming Kuang

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