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We present a detailed study on application of factor graphs and the belief propagation (BP) algorithm to the power system state estimation (SE) problem. We start from the BP solution for the linear DC model, for which we provide a detailed…

Information Theory · Computer Science 2018-11-21 Mirsad Cosovic

Brain-computer interface (BCI) has garnered the significant attention for their potential in various applications, with event-related potential (ERP) performing a considerable role in BCI systems. This paper introduces a novel Distributed…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Sung-Jin Kim , Heon-Gyu Kwak , Hyeon-Taek Han , Dae-Hyeok Lee , Ji-Hoon Jeong , Seong-Whan Lee

Multi-frame detection algorithms can effectively utilize the correlation between consecutive echoes to improve the detection performance of weak targets. Existing efficient multi-frame detection algorithms are typically based on three…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Zhihao Lin , Chang Gao , Junkun Yan , Qingfu Zhang , Bo Chen , Hongwei Liu

We consider the problem of maximum likelihood estimation in linear models represented by factor graphs and solved via the Gaussian belief propagation algorithm. Motivated by massive internet of things (IoT) networks and edge computing, we…

Information Theory · Computer Science 2023-05-31 Mirsad Cosovic , Dragisa Miskovic , Muhamed Delalic , Darijo Raca , Dejan Vukobratovic

Message passing on factor graphs is a powerful framework for probabilistic inference, which finds important applications in various scientific domains. The most wide-spread message passing scheme is the sum-product algorithm (SPA) which…

Machine Learning · Computer Science 2023-06-06 Luca Schmid , Joshua Brenk , Laurent Schmalen

Factor graphs are important models for succinctly representing probability distributions in machine learning, coding theory, and statistical physics. Several computational problems, such as computing marginals and partition functions, arise…

Machine Learning · Computer Science 2017-08-09 Damian Straszak , Nisheeth K. Vishnoi

Future wireless systems are expected to employ extremely large-scale multiple-input multiple-output (XL-MIMO) arrays at high carrier frequencies, where near-field propagation makes the channel depend jointly on angle and distance. The…

Signal Processing · Electrical Eng. & Systems 2026-05-27 Maral Safari , Italo Atzeni

Expectation propagation is a general approach to fast approximate inference for graphical models. The existing literature treats models separately when it comes to deriving and coding expectation propagation inference algorithms. This comes…

Methodology · Statistics 2018-01-17 Wilson Y. Chen , Matt P. Wand

Despite the great promises that the resistive random access memory (ReRAM) has shown as the next generation of non-volatile memory technology, its crossbar array structure leads to a severe sneak path interference to the signal read back…

Information Theory · Computer Science 2021-11-05 Ce Sun , Kui Cai , Guanghui Song , Tony Q. S. Quek , Zesong Fei

This paper aims at tackling the problem of signal detection in flat-fading channels. In this context, receivers based on the expectation propagation framework appear to be very promising although presenting some critical issues. We develop…

Signal Processing · Electrical Eng. & Systems 2023-06-01 Elisa Conti , Amina Piemontese , Giulio Colavolpe , Armando Vannucci

In this work, we present a joint channel estimation, activity detection and data decoding scheme for massive machine-type communications. By including the channel and the a priori activity factor in the factor graph, we present the bilinear…

Information Theory · Computer Science 2022-02-24 R. B. Di Renna , R. C. de Lamare

fMRI is a non-invasive technique for investigating brain activity, offering high-resolution insights into neural processes. Understanding and decoding cognitive brain states from fMRI depends on how functional interactions are represented.…

Neurons and Cognition · Quantitative Biology 2026-02-23 Daniil Vlasenko , Vadim Ushakov , Alexey Zaikin , Denis Zakharov

In this paper, we propose an algorithm for channel estimation, acquisition and tracking, for orthogonal frequency division multiplexing (OFDM) systems. The proposed algorithm is suitable for vehicular communications that encounter very high…

Information Theory · Computer Science 2016-02-03 Mahmoud Ashour , Amr El-Keyi

This paper proposes to use graph neural networks (GNNs) for equalization, that can also be used to perform joint equalization and decoding (JED). For equalization, the GNN is build upon the factor graph representations of the channel, while…

Information Theory · Computer Science 2024-01-30 Jannis Clausius , Marvin Geiselhart , Daniel Tandler , Stephan ten Brink

It is shown how expectation maximization (EM) may be viewed as a message passing algorithm in factor graphs. In particular, a general EM message computation rule is identified. As a factor graph tool, EM may be used to break cycles in a…

Information Theory · Computer Science 2009-10-16 Justin Dauwels , Andrew Eckford , Sascha Korl , Hans-Andrea Loeliger

Belief propagation (BP) can do exact inference in loop-free graphs, but its performance could be poor in graphs with loops, and the understanding of its solution is limited. This work gives an interpretable belief propagation rule that is…

Machine Learning · Computer Science 2019-08-26 Dong Liu , Nima N. Moghadam , Lars K. Rasmussen , Jinliang Huang , Saikat Chatterjee

Many problems in robotics involve both continuous and discrete components, and modeling them together for estimation tasks has been a long standing and difficult problem. Hybrid Factor Graphs give us a mathematical framework to model these…

Robotics · Computer Science 2026-05-04 Varun Agrawal , Frank Dellaert

This paper presents a graph signal processing algorithm to uncover the intrinsic low-rank components and the underlying graph of a high-dimensional, graph-smooth and grossly-corrupted dataset. In our problem formulation, we assume that the…

Image and Video Processing · Electrical Eng. & Systems 2018-01-09 Rui Liu , Hossein Nejati , Ngai-Man Cheung

The factor graph (FG) based iterative detection is considered an effective and practical method for multiple-input and multiple-out (MIMO), particularly massive MIMO (m-MIMO) systems. However, the convergence analysis for the FG-based…

Information Theory · Computer Science 2023-07-06 Huan Li , Jingxuan Huang , Zesong Fei

In this paper, we investigate the blind channel estimation problem for MIMO systems under Rayleigh fading channel. Conventional MIMO communication techniques require transmitting a considerable amount of training symbols as pilots in each…

Signal Processing · Electrical Eng. & Systems 2021-11-17 Jiancheng Tang , Qianqian Yang , Zhaoyang Zhang