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In this manuscript a factor graph approach is employed to investigate the recursive filtering problem for a mixed linear/nonlinear state-space model, i.e. for a model whose state vector can be partitioned in a linear state variable…

Statistics Theory · Mathematics 2016-07-29 Giorgio M. Vitetta , Emilio Sirignano , Francesco Montorsi , Matteo Sola

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

Distributed parameter estimation for large-scale systems is an active research problem. The goal is to derive a distributed algorithm in which each agent obtains a local estimate of its own subset of the global parameter vector, based on…

Multiagent Systems · Computer Science 2018-06-26 Tianju Sui , Damián Marelli , Minyue Fu , Renquan Lu

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

Message passing equations yield a sharp percolation transition in finite graphs, as an artifact of the locally treelike approximation. For an arbitrary finite, connected, undirected graph we construct an infinite tree having the same local…

Disordered Systems and Neural Networks · Physics 2017-05-03 Gábor Timár , Rui A. da Costa , Sergey N. Dorogovtsev , José F. F. Mendes

A non-iterative phase noise compensation method based on the sum-product algorithm (SPA) is applied to the outputs of intersymbol interference (ISI) channels. The outputs are modeled as independent Gaussian random variables, and the…

Information Theory · Computer Science 2026-04-21 Alex Jäger , Gerhard Kramer

In this paper, we present a novel signal processing unit built upon the theory of factor graphs, which is able to address a wide range of signal processing algorithms. More specifically, the demonstrated factor graph processor (FGP) is…

Hardware Architecture · Computer Science 2014-04-14 Harald Kröll , Stefan Zwicky , Reto Odermatt , Lukas Bruderer , Andreas Burg , Qiuting Huang

This paper introduces a novel message-passing (MP) framework for the collaborative filtering (CF) problem associated with recommender systems. We model the movie-rating prediction problem popularized by the Netflix Prize, using a…

Information Theory · Computer Science 2010-04-08 Byung-Hak Kim , Arvind Yedla , Henry D. Pfister

This paper proposes Graph Signal Adaptive Message Passing (GSAMP), a novel message passing method that simultaneously conducts online prediction, missing data imputation, and noise removal on time-varying graph signals. Unlike conventional…

Signal Processing · Electrical Eng. & Systems 2024-11-26 Yi Yan , Changran Peng , Ercan Engin Kuruoglu

Gaussian and quadratic approximations of message passing algorithms on graphs have attracted considerable recent attention due to their computational simplicity, analytic tractability, and wide applicability in optimization and statistical…

Information Theory · Computer Science 2026-03-12 Sundeep Rangan , Alyson K. Fletcher , Vivek K. Goyal , Evan Byrne , Philip Schniter

Semantic communication emphasizes the transmission of meaning rather than raw symbols. It offers a promising solution to alleviate network congestion and improve transmission efficiency. In this paper, we propose a wireless image…

Signal Processing · Electrical Eng. & Systems 2025-07-17 Chen Zhu , Siyun Liang , Zhouxiang Zhao , Jianrong Bao , Zhaohui Yang , Zhaoyang Zhang , Dusit Niyato

In this paper we offer a solution to a long-standing problem in the study of networks. Message passing is a fundamental technique for calculations on networks and graphs. The first versions of the method appeared in the 1930s and over the…

Social and Information Networks · Computer Science 2019-12-10 George T. Cantwell , M. E. J. Newman

The Bayesian persuasion paradigm of strategic communication models interaction between a privately-informed agent, called the sender, and an ignorant but rational agent, called the receiver. The goal is typically to design a (near-)optimal…

Computer Science and Game Theory · Computer Science 2021-06-21 Ronen Gradwohl , Niklas Hahn , Martin Hoefer , Rann Smorodinsky

This work bridges the gap between distributed and centralised models of computing in the context of sublinear-time graph algorithms. A priori, typical centralised models of computing (e.g., parallel decision trees or centralised local…

Data Structures and Algorithms · Computer Science 2015-12-18 Mika Göös , Juho Hirvonen , Reut Levi , Moti Medina , Jukka Suomela

In integrated sensing and communication (ISAC) networks, multiple base stations (BSs) collaboratively sense a common target, leveraging diversity from multiple observation perspectives and joint signal processing to enhance sensing…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Xiaohan Lv , Rang Liu , Yi Chen , Qian Liu , Ming Li

Factor graphs have recently gained increasing attention as a unified framework for representing and constructing algorithms for signal processing, estimation, and control. One capability that does not seem to be well explored within the…

Machine Learning · Statistics 2019-03-22 Eike Petersen , Christian Hoffmann , Philipp Rostalski

Graph signal processing (GSP) studies graph-structured data, where the central concept is the vector space of graph signals. To study a vector space, we have many useful tools up our sleeves. However, uncertainty is omnipresent in practice,…

Signal Processing · Electrical Eng. & Systems 2023-02-23 Feng Ji , Xingchao Jian , Wee Peng Tay

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 investigate the application of the factor graph framework for blind joint channel estimation and symbol detection on time-variant linear inter-symbol interference channels. In particular, we consider the expectation maximization (EM)…

Information Theory · Computer Science 2025-02-04 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen

Message-passing algorithms have emerged as powerful techniques for approximate inference in graphical models. When these algorithms converge, they can be shown to find local (or sometimes even global) optima of variational formulations to…

Artificial Intelligence · Computer Science 2012-05-14 Talya Meltzer , Amir Globerson , Yair Weiss