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The Expectation Maximization (EM) algorithm is the default algorithm for inference in latent variable models. As in any other field of machine learning, applications of latent variable models to very large datasets make the use of advanced…

Optimization and Control · Mathematics 2021-11-11 Aymeric Dieuleveut , Gersende Fort , Eric Moulines , Geneviève Robin

Belief Propagation (BP) is a widely used approximation for exact probabilistic inference in graphical models, such as Markov Random Fields (MRFs). In graphs with cycles, however, no exact convergence guarantees for BP are known, in general.…

Artificial Intelligence · Computer Science 2016-12-28 Wolfgang Gatterbauer

In recent years, there is a growing need to train machine learning models on a huge volume of data. Designing efficient distributed optimization algorithms for empirical risk minimization (ERM) has therefore become an active and challenging…

Optimization and Control · Mathematics 2019-11-19 Ching-pei Lee , Kai-Wei Chang

This paper proposes a belief propagation (BP) message passing algorithm based joint multiple symbol differential detection (MSDD) and channel decoding scheme for noncoherent differential ultra-wideband impulse radio (UWB-IR) systems. MSDD…

Information Theory · Computer Science 2015-05-27 Taotao Wang , Tiejun Lv , Hui Gao , Shengli Zhang

A key issue in physical-layer network coding (PNC) is how to deal with the asynchrony between signals transmitted by multiple transmitters. That is, symbols transmitted by different transmitters could arrive at the receiver with symbol…

Information Theory · Computer Science 2011-05-31 Lu Lu , Soung Chang Liew , Shengli Zhang

The convergence of expectation-maximization (EM)-based algorithms typically requires continuity of the likelihood function with respect to all the unknown parameters (optimization variables). The requirement is not met when parameters…

Signal Processing · Electrical Eng. & Systems 2024-04-18 Geethu Joseph

Determining whether nodes can be uniquely localized, called localizability detection, is a concomitant problem of network localization. Localizability under traditional Non-Linear Localization (NLL) schema has been well explored, whereas…

Networking and Internet Architecture · Computer Science 2021-10-11 Haodi Ping , Yongcai Wang , Deying Li

This paper presents a novel Block Iterative Bayesian Algorithm (Block-IBA) for reconstructing block-sparse signals with unknown block structures. Unlike the existing algorithms for block sparse signal recovery which assume the cluster…

Machine Learning · Statistics 2014-12-09 Mehdi Korki , Jingxin Zhang , Cishen Zhang , Hadi Zayyani

Orthogonal frequency division multiplexing (OFDM) has proven itself as an effective multi-carrier digital communication technique. In recent years the interest in optical OFDM has grown significantly, due to its spectral efficiency and…

Signal Processing · Electrical Eng. & Systems 2020-09-01 Amir Weiss , Arie Yeredor , Mark Shtaif

We propose an expectation maximization (EM)-based algorithm for semi-blind channel estimation of reciprocal channels in amplify-and-forward (AF) two-way relay networks (TWRNs). By incorporating both data samples and pilots into the…

Information Theory · Computer Science 2013-04-25 Saeed Abdallah , Ioannis N. Psaromiligkos

Symbolic regression that aims to detect underlying data-driven models has become increasingly important for industrial data analysis. For most existing algorithms such as genetic programming (GP), the convergence speed might be too slow for…

Neural and Evolutionary Computing · Computer Science 2017-10-31 Chen Chen , Changtong Luo , Zonglin Jiang

Diffusion models excel in solving imaging inverse problems due to their ability to model complex image priors. However, their reliance on large, clean datasets for training limits their practical use where clean data is scarce. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Weimin Bai , Yifei Wang , Wenzheng Chen , He Sun

In order to identify a system (module) embedded in a dynamic network, one has to formulate a multiple-input estimation problem that necessitates certain nodes to be measured and included as predictor inputs. However, some of these nodes may…

Systems and Control · Electrical Eng. & Systems 2022-08-24 Karthik R. Ramaswamy , Giulio Bottegal , Paul M. J. Van den Hof

Efficient feature selection from high-dimensional datasets is a very important challenge in many data-driven fields of science and engineering. We introduce a statistical mechanics inspired strategy that addresses the problem of sparse…

Machine Learning · Statistics 2021-04-07 Alfredo Braunstein , Thomas Gueudré , Andrea Pagnani , Mirko Pieropan

This paper considers a joint multi-graph inference and clustering problem for simultaneous inference of node centrality and association of graph signals with their graphs. We study a mixture model of filtered low pass graph signals with…

Machine Learning · Statistics 2023-02-15 Yiran He , Hoi-To Wai

Community detection is a fundamental task in data analysis, and block models provide an approach for identifying a wide variety of community structures while offering high interpretability. The degree-corrected block model (DCBM) is an…

Social and Information Networks · Computer Science 2026-04-29 Alexandra Dache , Arnaud Vandaele , Nicolas Gillis

Quantum error correction is crucial for universal fault-tolerant quantum computing. Highly accurate and low-time-complexity decoding algorithms play an indispensable role in ensuring quantum error correction works effectively. Among…

Quantum Physics · Physics 2025-07-01 Jiahan Chen , Zhengzhong Yi , Zhipeng Liang , Xuan Wang

This paper investigates beamforming schemes designed to minimize the symbol error probability (SEP) for an authorized user while guaranteeing that the likelihood of an eavesdropper correctly recovering symbols remains below a predefined…

Signal Processing · Electrical Eng. & Systems 2025-04-08 Nam Nguyen , An Vuong , Thuan Nguyen , Thinh Nguyen

Collaborative edge sensing systems, particularly in collaborative perception systems in autonomous driving, can significantly enhance tracking accuracy and reduce blind spots with multi-view sensing capabilities. However, their limited…

Networking and Internet Architecture · Computer Science 2024-09-02 Zhengru Fang , Senkang Hu , Liyan Yang , Yiqin Deng , Xianhao Chen , Yuguang Fang

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
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