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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

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

Belief propagation (BP) is a popular method for performing probabilistic inference on graphical models. In this work, we enhance BP and propose self-guided belief propagation (SBP) that incorporates the pairwise potentials only gradually.…

Machine Learning · Statistics 2024-10-30 Christian Knoll , Adrian Weller , Franz Pernkopf

We consider the problem of scheduling in constrained queueing networks with a view to minimizing packet delay. Modern communication systems are becoming increasingly complex, and are required to handle multiple types of traffic with widely…

Machine Learning · Computer Science 2021-05-04 Mohammani Zaki , Avi Mohan , Aditya Gopalan , Shie Mannor

Hierarchical time series are common in several applied fields. The forecasts for these time series are required to be coherent, that is, to satisfy the constraints given by the hierarchy. The most popular technique to enforce coherence is…

Machine Learning · Statistics 2023-10-13 Lorenzo Zambon , Dario Azzimonti , Giorgio Corani

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

The max-product {belief propagation} (BP) is a popular message-passing heuristic for approximating a maximum-a-posteriori (MAP) assignment in a joint distribution represented by a graphical model (GM). In the past years, it has been shown…

Artificial Intelligence · Computer Science 2017-06-29 Sejun Park , 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

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

Gaussian Belief Propagation (BP) algorithm is one of the most important distributed algorithms in signal processing and statistical learning involving Markov networks. It is well known that the algorithm correctly computes marginal density…

Machine Learning · Statistics 2019-03-08 Zhaorong Zhang , Minyue Fu

We propose a throughput-optimal biased backpressure (BP) algorithm for routing, where the bias is learned through a graph neural network that seeks to minimize end-to-end delay. Classical BP routing provides a simple yet powerful…

Signal Processing · Electrical Eng. & Systems 2022-11-22 Zhongyuan Zhao , Bojan Radojicic , Gunjan Verma , Ananthram Swami , Santiago Segarra

The performance of a parallel algorithm in a very large scale grid is significantly influenced by the underlying Internet protocols and inter-connectivity. Many grid programming platforms use TCP due to its reliability, usually with some…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Elankovan Sundararajan , Aaron Harwood , Kotagiri Ramamohanarao

Estimation and inference in dynamic discrete choice models often relies on approximation to lower the computational burden of dynamic programming. Unfortunately, the use of approximation can impart substantial bias in estimation and results…

Econometrics · Economics 2020-10-23 Ben Deaner

In various scenarios motivated by real life, such as medical data analysis, autonomous driving, and adversarial training, we are interested in robust deep networks. A network is robust when a relatively small perturbation of the input…

Machine Learning · Computer Science 2024-10-07 Patryk Krukowski , Daniel Wilczak , Jacek Tabor , Anna Bielawska , Przemysław Spurek

Random backpropagation (RBP) is a variant of the backpropagation algorithm for training neural networks, where the transpose of the forward matrices are replaced by fixed random matrices in the calculation of the weight updates. It is…

Machine Learning · Computer Science 2017-12-25 Pierre Baldi , Peter Sadowski , Zhiqin Lu

Tensor network contraction on arbitrary graphs is a fundamental computational challenge with applications ranging from quantum simulation to error correction. While belief propagation (BP) provides a powerful approximation algorithm for…

Quantum Physics · Physics 2025-10-28 Siddhant Midha , Yifan F. Zhang

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

The tremendous increase in the size and heterogeneity of supercomputers makes it very difficult to predict the performance of a scheduling algorithm. Therefore, dynamic solutions, where scheduling decisions are made at runtime have…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-16 Olivier Beaumont , Loris Marchal

It has been shown that it is impossible to achieve both stringent end-to-end deadline and reliability guarantees in a large network without having complete information of all future packet arrivals. In order to maintain desirable…

Performance · Computer Science 2017-04-18 Han Deng , I-Hong Hou

The problem of real-time processing is one of the most challenging current issues in computer sciences. Because of the large amount of data to be treated in a limited period of time, parallel and distributed systems are required, whose…

Physics and Society · Physics 2007-05-23 Gonzalo Travieso , Luciano da Fontoura Costa
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