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We present new message passing algorithms for performing inference with graphical models. Our methods are designed for the most difficult inference problems where loopy belief propagation and other heuristics fail to converge. Belief…

Artificial Intelligence · Computer Science 2022-07-19 Anna Grim , Pedro Felzenszwalb

We apply belief propagation (BP) to multi--user detection in a spread spectrum system, under the assumption of Gaussian symbols. We prove that BP is both convergent and allows to estimate the correct conditional expectation of the input…

Information Theory · Computer Science 2007-07-13 Andrea Montanari , Balaji Prabhakar , David Tse

In this paper, relaxed belief propagation (RBP) based detectors are proposed for multiple-input multiple-out (MIMO) system. The factor graph is leveraged to represent the MIMO channels, and based on which our algorithms are developed.…

Information Theory · Computer Science 2015-03-19 Feichi Long , Tiejun Lv

Modularity is a popular measure of community structure. However, maximizing the modularity can lead to many competing partitions, with almost the same modularity, that are poorly correlated with each other. It can also produce illusory…

Physics and Society · Physics 2014-12-30 Pan Zhang , Cristopher Moore

Compared to the linear MIMO detectors, the Belief Propagation (BP) detector has shown greater capabilities in achieving near optimal performance and better nature to iteratively cooperate with channel decoders. Aiming at real applications,…

Information Theory · Computer Science 2022-06-28 Wenyue Zhou , Yifei Shen , Liping Li , Yongming Huang , Chuan Zhang , Xiaohu You

The sigma point (SP) filter, also known as unscented Kalman filter, is an attractive alternative to the extended Kalman filter and the particle filter. Here, we extend the SP filter to nonsequential Bayesian inference corresponding to loopy…

Artificial Intelligence · Computer Science 2023-07-19 Florian Meyer , Ondrej Hlinka , Franz Hlawatsch

An important part of problems in statistical physics and computer science can be expressed as the computation of marginal probabilities over a Markov Random Field. The belief propagation algorithm, which is an exact procedure to compute…

Machine Learning · Computer Science 2011-01-24 Victorin Martin , Jean-Marc Lasgouttes , Cyril Furtlehner

In this paper, we address the problem of finding a correspondence, or matching, between the functions of two programs in binary form, which is one of the most common task in binary diffing. We introduce a new formulation of this problem as…

Machine Learning · Computer Science 2022-01-03 Elie Mengin , Fabrice Rossi

In Non - ergodic belief networks the posterior belief OF many queries given evidence may become zero.The paper shows that WHEN belief propagation IS applied iteratively OVER arbitrary networks(the so called, iterative OR loopy belief…

Artificial Intelligence · Computer Science 2012-12-12 Rina Dechter , Robert Mateescu

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

In a complete bipartite graph with vertex sets of cardinalities $n$ and $m$, assign random weights from exponential distribution with mean 1, independently to each edge. We show that, as $n\rightarrow\infty$, with $m = \lceil…

Probability · Mathematics 2014-05-07 Mustafa Khandwawala

Sensing and imaging with distributed radio infrastructures (e.g., distributed MIMO, wireless sensor networks, multistatic radar) rely on knowledge of the positions, orientations, and clock parameters of distributed apertures. We extend a…

Signal Processing · Electrical Eng. & Systems 2025-05-29 Benjamin J. B. Deutschmann , Peter Vouras

Nowadays, social networks such as Twitter, Facebook and LinkedIn become increasingly popular. In fact, they introduced new habits, new ways of communication and they collect every day several information that have different sources. Most…

Social and Information Networks · Computer Science 2015-01-23 Siwar Jendoubi , Arnaud Martin , Ludovic Liétard , Boutheina Ben Yaghlane

This paper is motivated by two applications, namely i) generalizations of cuckoo hashing, a computationally simple approach to assigning keys to objects, and ii) load balancing in content distribution networks, where one is interested in…

Probability · Mathematics 2012-07-09 Mathieu Leconte , Marc Lelarge , Laurent Massoulié

Most algorithms for propagating evidence through belief networks have been exact and exhaustive: they produce an exact (point-valued) marginal probability for every node in the network. Often, however, an application will not need…

Artificial Intelligence · Computer Science 2013-02-28 Denise L. Draper , Steve Hanks

Graph neural network (GNN) and label propagation algorithm (LPA) are both message passing algorithms, which have achieved superior performance in semi-supervised classification. GNN performs feature propagation by a neural network to make…

Machine Learning · Computer Science 2021-05-12 Yunsheng Shi , Zhengjie Huang , Shikun Feng , Hui Zhong , Wenjin Wang , Yu Sun

Sybil detection in social networks is a basic security research problem. Structure-based methods have been shown to be promising at detecting Sybils. Existing structure-based methods can be classified into Random Walk (RW)-based methods and…

Cryptography and Security · Computer Science 2020-05-28 Binghui Wang , Jinyuan Jia , Le Zhang , Neil Zhenqiang Gong

Message-passing algorithms based on the Belief Propagation (BP) equations constitute a well-known distributed computational scheme. It is exact on tree-like graphical models and has also proven to be effective in many problems defined on…

Machine Learning · Computer Science 2022-07-20 Carlo Lucibello , Fabrizio Pittorino , Gabriele Perugini , Riccardo Zecchina

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

Machine Learning · Computer Science 2017-04-14 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

Graph-based semi-supervised learning (SSL) algorithms predict labels for all nodes based on provided labels of a small set of seed nodes. Classic methods capture the graph structure through some underlying diffusion process that propagates…

Machine Learning · Computer Science 2017-03-16 Eliav Buchnik , Edith Cohen
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