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In this paper, we consider Hybrid Mixed Networks (HMN) which are Hybrid Bayesian Networks that allow discrete deterministic information to be modeled explicitly in the form of constraints. We present two approximate inference algorithms for…

Artificial Intelligence · Computer Science 2012-07-09 Vibhav Gogate , Rina Dechter

Gaussian mixture filters for nonlinear systems usually rely on severe approximations when calculating mixtures in the prediction and filtering step. Thus, offline approximations of noise densities by Gaussian mixture densities to reduce the…

Systems and Control · Electrical Eng. & Systems 2025-06-02 Ondŕej Straka , Uwe D. Hanebeck

This paper presents distributed conjugate gradient algorithms for distributed parameter estimation and spectrum estimation over wireless sensor networks. In particular, distributed conventional conjugate gradient (CCG) and modified…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 R. C. de Lamare

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

Machine Learning · Statistics 2026-03-23 Xinyu Liu , Hai Zhang

The aim of this paper is to devise a strategy that is able to reduce communication bandwidth and, consequently, energy consumption in the context of distributed state estimation over a peer-to-peer sensor network. Specifically, a…

Systems and Control · Computer Science 2019-02-27 Giorgio Battistelli , Luigi Chisci , Lin Gao , Daniela Selvi

The study of multimodality has garnered significant interest in fields where the analysis of interactions among multiple information sources can enhance predictive modeling, data fusion, and interpretability. Partial information…

Machine Learning · Computer Science 2025-10-07 Wenyuan Zhao , Adithya Balachandran , Chao Tian , Paul Pu Liang

Astronomical data often suffer from noise and incompleteness. We extend the common mixtures-of-Gaussians density estimation approach to account for situations with a known sample incompleteness by simultaneous imputation from the current…

Instrumentation and Methods for Astrophysics · Physics 2020-09-17 Peter Melchior , Andy D. Goulding

The matched filter (MF) represents one of the main tools to detect signals from known sources embedded in the noise. In the Gaussian case the noise is assumed to be the realization of a Gaussian random field (GRF). The most important…

Instrumentation and Methods for Astrophysics · Physics 2019-07-10 R. Vio , P. Andreani , A. Biggs , N. Hayatsu

For multichannel speech enhancement, this letter derives a robust maximum likelihood distortionless response beamformer by modeling speech sparse priors with a complex generalized Gaussian distribution, where we refer to as the CGGD-MLDR…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-22 Weixin Meng , Chengshi Zheng , Xiaodong Li

Communication efficiency is a major bottleneck in the applications of distributed networks. To address the problem, the problem of quantized distributed optimization has attracted a lot of attention. However, most of the existing quantized…

Optimization and Control · Mathematics 2022-11-01 Yongyang Xiong , Ligang Wu , Keyou You , Lihua Xie

This paper considers the maximization of information rates for the Gaussian frequency-selective interference channel, subject to power and spectral mask constraints on each link. To derive decentralized solutions that do not require any…

Information Theory · Computer Science 2008-01-17 Gesualdo Scutari , Daniel P. Palomar , Sergio Barbarossa

This paper addresses distributed multi-target tracking (DMTT) over a network of sensors having different fields-of-view (FoVs). Specifically, a cardinality probability hypothesis density (CPHD) filter is run at each sensor node. Due to the…

Systems and Control · Electrical Eng. & Systems 2020-06-26 Guchong Li , Giorgio Battistelli , Luigi Chisci , Wei Yi , Lingjiang Kong

A distributed detection scheme where the sensors transmit with constant modulus signals over a Gaussian multiple access channel is considered. The deflection coefficient of the proposed scheme is shown to depend on the characteristic…

Information Theory · Computer Science 2017-04-05 Cihan Tepedelenlioglu , Sivaraman Dasarathan

This paper considers a low-complexity Gaussian Message Passing Iterative Detection (GMPID) method over a pairwise graph for a massive Multiuser Multiple-Input Multiple-Output (MU-MIMO) system, in which a base station with M antennas serves…

Information Theory · Computer Science 2016-11-17 Lei Liu , Chau Yuen , Yong Liang Guan , Ying Li , Yuping Su

This paper addresses the problem of differentially private distributed optimization under limited communication, where each agent aims to keep their cost function private while minimizing the sum of all agents' cost functions. In response,…

Optimization and Control · Mathematics 2023-04-05 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

A Multiple Target, Multiple Type Filtering (MTMTF) algorithm is developed using Random Finite Set (RFS) theory. First, we extend the standard Probability Hypothesis Density (PHD) filter for multiple types of targets, each with distinct…

Applications · Statistics 2019-02-06 Nathanael L. Baisa , Andrew Wallace

The paper addresses the problem of distributed filtering with guaranteed convergence properties using minimum-energy filtering and $H_\infty$ filtering methodologies. A linear state space plant model is considered observed by a network of…

Systems and Control · Computer Science 2014-09-19 Mohammad Zamani , Valery Ugrinovskii

Gaussian belief propagation (BP) has been widely used for distributed inference in large-scale networks such as the smart grid, sensor networks, and social networks, where local measurements/observations are scattered over a wide…

Machine Learning · Computer Science 2017-11-21 Jian Du , Shaodan Ma , Yik-Chung Wu , Soummya Kar , José M. F. Moura

Distributed optimization plays an important role in modern large-scale machine learning and data processing systems by optimizing the utilization of computational resources. One of the classical and popular approaches is Local Stochastic…

Optimization and Control · Mathematics 2024-12-19 Andrey Sadchikov , Savelii Chezhegov , Aleksandr Beznosikov , Alexander Gasnikov

The trimming scheme with a prefixed cutoff portion is known as a method of improving the robustness of statistical models such as multivariate Gaussian mixture models (MG- MMs) in small scale tests by alleviating the impacts of outliers.…

Computation and Language · Computer Science 2014-05-20 Dalei Wu , Haiqing Wu
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