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We show how the notion of message passing can be used to streamline the algebra and computer coding for fast approximate inference in large Bayesian semiparametric regression models. In particular, this approach is amenable to handling…

Methodology · Statistics 2016-04-07 M. P. Wand

We introduce a new type of graphical model that we call a "memory factor network" (MFN). We show how to use MFNs to model the structure inherent in many types of data sets. We also introduce an associated message-passing style algorithm…

Artificial Intelligence · Computer Science 2016-01-19 Patrick Eschenfeldt , Dan Schmidt , Stark Draper , Jonathan Yedidia

In this paper, we present structured message passing (SMP), a unifying framework for approximate inference algorithms that take advantage of structured representations such as algebraic decision diagrams and sparse hash tables. These…

Artificial Intelligence · Computer Science 2013-09-27 Vibhav Gogate , Pedro Domingos

Functional reactive programming (FRP) is a declarative programming paradigm for implementing reactive programs at a high level of abstraction. It applies functional programming principles to construct and manipulate time-varying values,…

Programming Languages · Computer Science 2026-02-24 Patrick Bahr

Existing diffusion-based methods for inverse problems sample from the posterior using score functions and accept the generated random samples as solutions. In applications that posterior mean is preferred, we have to generate multiple…

Machine Learning · Computer Science 2024-10-10 Zhipeng Xue , Penghao Cai , Xiaojun Yuan , Xiqi Gao

While loopy belief propagation (LBP) performs reasonably well for inference in some Gaussian graphical models with cycles, its performance is unsatisfactory for many others. In particular for some models LBP does not converge, and in…

Machine Learning · Statistics 2015-05-28 Ying Liu , Venkat Chandrasekaran , Animashree Anandkumar , Alan S. Willsky

We propose a new family of message passing techniques for MAP estimation in graphical models which we call {\em Sequential Reweighted Message Passing} (SRMP). Special cases include well-known techniques such as {\em Min-Sum Diffusion} (MSD)…

Artificial Intelligence · Computer Science 2017-01-20 Vladimir Kolmogorov

Variational message passing (VMP), belief propagation (BP) and expectation propagation (EP) have found their wide applications in complex statistical signal processing problems. In addition to viewing them as a class of algorithms operating…

Information Theory · Computer Science 2021-01-20 Dan Zhang , Xiaohang Song , Wenjin Wang , Gerhard Fettweis , Xiqi Gao

Belief Propagation (BP) is a message-passing algorithm for approximate inference over Probabilistic Graphical Models (PGMs), finding many applications such as computer vision, error-correcting codes, and protein-folding. While general, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-26 Mark Van der Merwe , Vinu Joseph , Ganesh Gopalakrishnan

Context: Reactive programming (RP) is a declarative programming paradigm suitable for expressing the handling of events. It enables programmers to create applications that react automatically to changes over time. Whenever a time-varying…

Programming Languages · Computer Science 2024-03-05 Bjarno Oeyen , Joeri De Koster , Wolfgang De Meuter

Inference for probabilistic graphical models is still very much a practical challenge in large domains. The commonly used and effective belief propagation (BP) algorithm and its generalizations often do not converge when applied to hard,…

Artificial Intelligence · Computer Science 2012-07-02 Gal Elidan , Ian McGraw , Daphne Koller

Active Inference is a framework that emphasizes the interaction between agents and their environment. While the framework has seen significant advancements in the development of agents, the environmental models are often borrowed from…

Systems and Control · Electrical Eng. & Systems 2024-09-18 Wouter W. L. Nuijten , Bert de Vries

This paper proposes two distinct contributions to econometric analysis of large information sets and structural instabilities. First, it treats a regression model with time-varying coefficients, stochastic volatility and exogenous…

Methodology · Statistics 2020-04-27 Dimitris Korobilis

While epidemiological modeling is pivotal for informing public health strategies, a fundamental trade-off limits its predictive fidelity: exact stochastic simulations are often computationally intractable for large-scale systems, whereas…

Statistical Mechanics · Physics 2026-02-09 Cheng Ye , Zi-Song Shen , Pan Zhang

We consider the estimation of an i.i.d.\ random vector observed through a linear transform followed by a componentwise, probabilistic (possibly nonlinear) measurement channel. A novel algorithm, called generalized approximate message…

Information Theory · Computer Science 2012-08-15 Sundeep Rangan

We introduce Tree-AMP, standing for Tree Approximate Message Passing, a python package for compositional inference in high-dimensional tree-structured models. The package provides a unifying framework to study several approximate message…

Machine Learning · Statistics 2023-04-19 Antoine Baker , Benjamin Aubin , Florent Krzakala , Lenka Zdeborová

In this work, based on the hybrid generalized approximate message passing (HyGAMP) algorithm, we propose the message-scheduling GAMP (MSGAMP) algorithm in order to address the problem of joint active device detection and channel estimation…

Information Theory · Computer Science 2021-06-15 R. B. Di Renna , R. C. de Lamare

In this paper, we propose a novel fully Bayesian approach for the massive multiple-input multiple-output (MIMO) massive unsourced random access (URA). The payload of each user device is coded by the sparse regression codes (SPARCs) without…

Information Theory · Computer Science 2023-06-28 Jia-Cheng Jiang , Hui-Ming Wang

We propose regularized approximate message passing (RAMP), a low-complexity algorithm for discrete signal detection in overloaded multiple-input multiple-output (MIMO) systems where the number of transmit antennas exceeds the number of…

Signal Processing · Electrical Eng. & Systems 2026-04-07 Shreesal Shrestha , Getuar Rexhepi , Kuranage Roche Rayan Ranasinghe , Hyeon Seok Rou , Giuseppe Thadeu Freitas de Abreu

Message passing is a fundamental procedure for graph neural networks in the field of graph representation learning. Based on the homophily assumption, the current message passing always aggregates features of connected nodes, such as the…

Machine Learning · Computer Science 2022-02-02 Jie Chen , Weiqi Liu , Jian Pu
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