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Broadcasting on trees is a fundamental model from statistical physics that plays an important role in information theory, noisy computation and phylogenetic reconstruction within computational biology and linguistics. While this model…

Probability · Mathematics 2025-11-18 Han Huang , Elchanan Mossel

We consider the problem of reconstructing sparse symmetric block models with two blocks and connection probabilities $a/n$ and $b/n$ for inter- and intra-block edge probabilities, respectively. It was recently shown that one can do better…

Probability · Mathematics 2016-09-28 Elchanan Mossel , Joe Neeman , Allan Sly

This paper provides a new conceptual perspective on survey propagation, which is an iterative algorithm recently introduced by the statistical physics community that is very effective in solving random k-SAT problems even with densities…

Computational Complexity · Computer Science 2007-05-23 Eliza N. Maneva , Elchanan Mossel , Martin J. Wainwright

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

We consider belief propagation (BP) as an efficient and scalable tool for state estimation and optimization problems in supply networks such as power grids. BP algorithms make use of factor graph representations, whose assignment to the…

Artificial Intelligence · Computer Science 2022-06-09 Tim Ritmeester , Hildegard Meyer-Ortmanns

As traditional neural network consumes a significant amount of computing resources during back propagation, \citet{Sun2017mePropSB} propose a simple yet effective technique to alleviate this problem. In this technique, only a small subset…

Machine Learning · Computer Science 2017-09-27 Bingzhen Wei , Xu Sun , Xuancheng Ren , Jingjing Xu

A critical issue in the evolution of software models is change propagation: given a primary change that is made to a model in order to meet a new or changed requirement, what additional secondary changes are needed to maintain consistency…

Software Engineering · Computer Science 2014-02-26 Hoa Khanh Dam , Aditya Ghose

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

We describe a novel approach to statistical learning from particles tracked while moving in a random environment. The problem consists in inferring properties of the environment from recorded snapshots. We consider here the case of a fluid…

Information Theory · Computer Science 2008-06-09 Michael Chertkov , Lukas Kroc , Massimo Vergassola

Traditional learning methods for training Markov random fields require doing inference over all variables to compute the likelihood gradient. The iteration complexity for those methods therefore scales with the size of the graphical models.…

Machine Learning · Computer Science 2018-11-12 You Lu , Zhiyuan Liu , Bert Huang

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

Latent position models are widely used for the analysis of networks in a variety of research fields. In fact, these models possess a number of desirable theoretical properties, and are particularly easy to interpret. However, statistical…

Computation · Statistics 2023-03-08 Riccardo Rastelli , Florian Maire , Nial Friel

Due to the intractable nature of exact lifted inference, research has recently focused on the discovery of accurate and efficient approximate inference algorithms in Statistical Relational Models (SRMs), such as Lifted First-Order Belief…

Artificial Intelligence · Computer Science 2016-07-01 David Smith , Parag Singla , Vibhav Gogate

Inference problems in graphical models are often approximated by casting them as constrained optimization problems. Message passing algorithms, such as belief propagation, have previously been suggested as methods for solving these…

Machine Learning · Computer Science 2012-06-26 Amir Globerson , Tommi S. Jaakkola

Expectation Propagation (EP) is a widely used iterative message-passing algorithm that decomposes a global inference problem into multiple local ones. It approximates marginal distributions as ``beliefs'' using intermediate functions called…

Machine Learning · Statistics 2026-04-07 Zilu Zhao , Jichao Chen , Dirk Slock

The ability to leverage large-scale hardware parallelism has been one of the key enablers of the accelerated recent progress in machine learning. Consequently, there has been considerable effort invested into developing efficient parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-19 Vitaly Aksenov , Dan Alistarh , Janne H. Korhonen

This paper considers the noisy group testing problem where among a large population of items some are defective. The goal is to identify all defective items by testing groups of items, with the minimum possible number of tests. The focus of…

Information Theory · Computer Science 2021-10-20 Esmaeil Karimi , Anoosheh Heidarzadeh , Krishna R. Narayanan , Alex Sprintson

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

Given its computational efficiency and versatility, belief propagation is the most prominent message passing method in several applications. In order to diminish the damaging effect of loops on its accuracy, the first explicit version of…

Social and Information Networks · Computer Science 2025-09-16 Pedro Hack

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 2008-10-08 Ori Shental , Danny Bickson , Paul H. Siegel , Jack K. Wolf , Danny Dolev
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