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We investigate dynamics of an inference algorithm termed the belief propagation (BP) when employed in spin glass (SG) models and show that its macroscopic behaviors can be traced by recursive updates of certain auxiliary field distributions…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yoshiyuki Kabashima

Many datasets give partial information about an ordering or ranking by indicating which team won a game, which item a user prefers, or who infected whom. We define a continuous spin system whose Gibbs distribution is the posterior…

Artificial Intelligence · Computer Science 2022-06-07 George T. Cantwell , Cristopher Moore

The belief propagation (BP) algorithm is widely applied to perform approximate inference on arbitrary graphical models, in part due to its excellent empirical properties and performance. However, little is known theoretically about when…

Artificial Intelligence · Computer Science 2012-06-26 Alexander T. Ihler

Reputation is a central element of social communications, be it with human or artificial intelligence (AI), and as such can be the primary target of malicious communication strategies. There is already a vast amount of literature on trust…

Physics and Society · Physics 2022-05-18 Torsten Enßlin , Viktoria Kainz , Céline Bœhm

Belief Propagation (BP) is an efficient message-passing algorithm widely used for inference in graphical models and for solving various problems in statistical physics. However, BP often yields inaccurate estimates of order parameters and…

Social and Information Networks · Computer Science 2025-10-23 Seongmin Kim , Alec Kirkley

We define and study an inference algorithm based on "belief propagation" (BP) and the Bethe approximation. The idea is to encode into a graph an a priori information composed of correlations or marginal probabilities of variables, and to…

Physics and Society · Physics 2007-05-23 Cyril Furtlehner , Jean-Marc Lasgouttes , Arnaud De La Fortelle

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

In this paper we introduce the first application of the Belief Propagation (BP) algorithm in the design of recommender systems. We formulate the recommendation problem as an inference problem and aim to compute the marginal probability…

Machine Learning · Computer Science 2012-09-25 Erman Ayday , Arash Einolghozati , Faramarz Fekri

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

Nowadays, most business and social interactions have moved to the internet, highlighting the relevance of creating online trust. One way to obtain a measure of trust is through reputation mechanisms, which record one's past performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-12-14 Thomas Werthenbach , Johan Pouwelse

A scheme to provide various mean-field-type approximation algorithms is presented by employing the Bethe free energy formalism to a family of replicated systems in conjunction with analytical continuation with respect to the number of…

Disordered Systems and Neural Networks · Physics 2009-11-11 Yoshiyuki Kabashima

Social participatory sensing is a newly proposed paradigm that tries to address the limitations of participatory sensing by leveraging online social networks as an infrastructure. A critical issue in the success of this paradigm is to…

Social and Information Networks · Computer Science 2013-11-12 Haleh Amintoosi , Salil S. Kanhere

We propose a new algorithm for inferring the state of hidden spins and reconstructing the connections in a synchronous kinetic Ising model, given the observed history. Focusing on the case in which the hidden spins are conditionally…

Disordered Systems and Neural Networks · Physics 2015-06-11 Claudia Battistin , John Hertz , Joanna Tyrcha , Yasser Roudi

Creating incentives for cooperation is a challenge in natural and artificial systems. One potential answer is reputation, whereby agents trade the immediate cost of cooperation for the future benefits of having a good reputation. Game…

Multiagent Systems · Computer Science 2021-02-16 Nicolas Anastassacos , Julian García , Stephen Hailes , Mirco Musolesi

This paper examines Bayesian belief network inference using simulation as a method for computing the posterior probabilities of network variables. Specifically, it examines the use of a method described by Henrion, called logic sampling,…

Artificial Intelligence · Computer Science 2013-04-11 Homer L. Chin , Gregory F. Cooper

Understanding the principles of consensus in communities and finding ways to optimal solutions beneficial for entire community becomes crucial as the speeds and scales of interaction in modern distributed systems increase. Such systems can…

Social and Information Networks · Computer Science 2018-11-22 Anton Kolonin , Ben Goertzel , Deborah Duong , Matt Ikle , Nejc Znidar

In this paper we present a synthesis of the work performed on two inference algorithms: the Pearl's belief propagation (BP) algorithm applied to Bayesian networks without loops (i.e. polytree) and the Loopy belief propagation (LBP)…

Artificial Intelligence · Computer Science 2012-06-06 Amen Ajroud , Mohamed Nazih Omri , Habib Youssef , Salem Benferhat

We study the problem of cooperative inference where a group of agents interact over a network and seek to estimate a joint parameter that best explains a set of observations. Agents do not know the network topology or the observations of…

Optimization and Control · Mathematics 2017-04-11 Angelia Nedić , Alex Olshevsky , César A. Uribe

A major benefit of graphical models is that most knowledge is captured in the model structure. Many models, however, produce inference problems with a lot of symmetries not reflected in the graphical structure and hence not exploitable by…

Artificial Intelligence · Computer Science 2012-05-14 Kristian Kersting , Babak Ahmadi , Sriraam Natarajan

This paper studies social system inference from a single trajectory of public evolving opinions, wherein observation noise leads to the statistical dependence of samples on time and coordinates. We first propose a cyber-social system that…

Social and Information Networks · Computer Science 2021-06-30 Yanbing Mao , Naira Hovakimyan , Tarek Abdelzaher , Evangelos Theodorou
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