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We present a novel inference algorithm for arbitrary, binary, undirected graphs. Unlike loopy belief propagation, which iterates fixed point equations, we directly descend on the Bethe free energy. The algorithm consists of two phases,…

Artificial Intelligence · Computer Science 2013-01-14 Max Welling , Yee Whye Teh

As Bayesian networks are applied to larger and more complex problem domains, search for flexible modeling and more efficient inference methods is an ongoing effort. Multiply sectioned Bayesian networks (MSBNs) extend the HUGIN inference for…

Artificial Intelligence · Computer Science 2013-01-30 Yanping Xiang , Finn Verner Jensen

We consider inference (filtering) problems over probabilistic graphical models with aggregate data generated by a large population of individuals. We propose a new efficient belief propagation type algorithm over tree-structured graphs with…

Machine Learning · Computer Science 2020-10-06 Rahul Singh , Isabel Haasler , Qinsheng Zhang , Johan Karlsson , Yongxin Chen

Radio resource allocation often calls for the optimization of black-box objective functions whose evaluation is expensive in real-world deployments. Conventional optimization methods apply separately to each new system configuration,…

Signal Processing · Electrical Eng. & Systems 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

We study the problem of distributed hypothesis testing over a network of mobile agents with limited communication and sensing ranges to infer the true hypothesis collaboratively. In particular, we consider a scenario where there is an…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Bo Wu , Steven Carr , Suda Bharadwaj , Zhe Xu , Ufuk Topcu

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

The belief propagation (BP) based algorithm is investigated as a potential decoder for both of error correcting codes and lossy compression, which are based on non-monotonic tree-like multilayer perceptron encoders. We discuss that whether…

Information Theory · Computer Science 2015-03-18 Kazushi Mimura , Florent Cousseau , Masato Okada

Variants of Triplet networks are robust entities for learning a discriminative embedding subspace. There exist different triplet mining approaches for selecting the most suitable training triplets. Some of these mining methods rely on the…

Machine Learning · Statistics 2021-11-05 Milad Sikaroudi , Benyamin Ghojogh , Fakhri Karray , Mark Crowley , H. R. Tizhoosh

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 task-oriented semantic communications, the transmitters are designed to deliver task-related semantic information rather than every signal bit to receivers, which alleviates the spectrum pressure by reducing network traffic loads.…

Signal Processing · Electrical Eng. & Systems 2025-01-06 Hong Chen , Fang Fang , Xianbin Wang

Probability estimation of tree topologies is one of the fundamental tasks in phylogenetic inference. The recently proposed subsplit Bayesian networks (SBNs) provide a powerful probabilistic graphical model for tree topology probability…

Populations and Evolution · Quantitative Biology 2024-09-10 Tianyu Xie , Musu Yuan , Minghua Deng , Cheng Zhang

This paper considers a distributed adaptive optimization problem, where all agents only have access to their local cost functions with a common unknown parameter, whereas they mean to collaboratively estimate the true parameter and find the…

Optimization and Control · Mathematics 2025-09-03 Yaqun Yang , Jinlong Lei , Guanghui Wen , Yiguang Hong

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

It has been proposed by many researchers that combining deep neural networks with graphical models can create more efficient and better regularized composite models. The main difficulties in implementing this in practice are associated with…

Computer Vision and Pattern Recognition · Computer Science 2020-03-16 Patrick Knöbelreiter , Christian Sormann , Alexander Shekhovtsov , Friedrich Fraundorfer , Thomas Pock

Belief propagation and its variants are popular methods for approximate inference, but their running time and even their convergence depend greatly on the schedule used to send the messages. Recently, dynamic update schedules have been…

Machine Learning · Computer Science 2012-06-26 Charles Sutton , Andrew McCallum

In many applications, ranging from logistics to engineering, a designer is faced with a sequence of optimization tasks for which the objectives are in the form of black-box functions that are costly to evaluate. Furthermore, higher-fidelity…

Machine Learning · Computer Science 2025-01-09 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

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

We present an algorithmic solution to the problem of incremental belief updating in the context of Monte Carlo inference in Bayesian statistical models represented by probabilistic programs. Given a model and a sample-approximated…

Machine Learning · Statistics 2024-02-13 David Tolpin

A number of problems in statistical physics and computer science can be expressed as the computation of marginal probabilities over a Markov random field. Belief propagation, an iterative message-passing algorithm, computes exactly such…

Machine Learning · Statistics 2012-10-23 Victorin Martin , Jean-Marc Lasgouttes , Cyril Furtlehner

A graphical model is a structured representation of locally dependent random variables. A traditional method to reason over these random variables is to perform inference using belief propagation. When provided with the true data generating…

Machine Learning · Computer Science 2021-03-17 Victor Garcia Satorras , Max Welling