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Gaussian random fields have been one of the most popular tools for analyzing spatial data. However, many geophysical and environmental processes often display non-Gaussian characteristics. In this paper, we propose a new class of spatial…

Applications · Statistics 2017-10-03 Minjie Fan , Debashis Paul , Thomas C. M. Lee , Tomoko Matsuo

This paper proposes a generalization of Gaussian mixture models, where the mixture weight is allowed to behave as an unknown function of time. This model is capable of successfully capturing the features of the data, as demonstrated by…

Methodology · Statistics 2022-09-09 Michel H. Montoril , Leandro T. Correia , Helio S. Migon

This work studies the problem of stochastic dynamic filtering and state propagation with complex beliefs. The main contribution is GP-SUM, a filtering algorithm tailored to dynamic systems and observation models expressed as Gaussian…

Robotics · Computer Science 2019-02-01 Maria Bauza , Alberto Rodriguez

In this paper, we consider a distributed detection problem for a censoring sensor network where each sensor's communication rate is significantly reduced by transmitting only "informative" observations to the Fusion Center (FC), and…

Applications · Statistics 2023-07-19 Hao He , Pramod K. Varshney

Signal processing in non-Gaussian noise environment is addressed in this paper. For many real-life situations, the additive noise process present in the system is found to be dominantly non-Gaussian. The problem of detection and estimation…

Statistics Theory · Mathematics 2014-01-23 Jugalkishore K. Banoth , Pradip Sircar

Identifying the presence of a gravitational wave transient buried in non-stationary, non-Gaussian noise which can often contain spurious noise transients (glitches) is a very challenging task. For a given data set, transient gravitational…

General Relativity and Quantum Cosmology · Physics 2020-11-18 V. Gayathri , Dixeena Lopez , R. S. Pranjal , Ik Siong Heng , Archana Pai , Chris Messenger

Forecasting on sparse multivariate time series (MTS) aims to model the predictors of future values of time series given their incomplete past, which is important for many emerging applications. However, most existing methods process MTS's…

Machine Learning · Computer Science 2021-03-04 Yinjun Wu , Jingchao Ni , Wei Cheng , Bo Zong , Dongjin Song , Zhengzhang Chen , Yanchi Liu , Xuchao Zhang , Haifeng Chen , Susan Davidson

In a typical multitarget tracking (MTT) scenario, the sensor state is either assumed known, or tracking is performed in the sensor's (relative) coordinate frame. This assumption does not hold when the sensor, e.g., an automotive radar, is…

Systems and Control · Computer Science 2019-01-15 Markus Fröhle , Christopher Lindberg , Karl Granström , Henk Wymeersch

We propose a new sampling-based approach for approximate inference in filtering problems. Instead of approximating conditional distributions with a finite set of states, as done in particle filters, our approach approximates the…

Machine Learning · Computer Science 2020-03-03 Xuan Su , Wee Sun Lee , Zhen Zhang

This work examines the problem of using finite Gaussian mixtures (GM) probability density functions in recursive Bayesian peer-to-peer decentralized data fusion (DDF). It is shown that algorithms for both exact and approximate GM DDF lead…

Signal Processing · Electrical Eng. & Systems 2019-07-10 Nisar R. Ahmed

We propose a nonparametric density estimator based on the Gaussian process (GP) and derive three novel closed form learning algorithms based on Fisher divergence (FD) score matching. The density estimator is formed by multiplying a base…

Machine Learning · Computer Science 2025-11-17 John Paisley , Wei Zhang , Brian Barr

Finite mixture of Gaussian distributions provide a flexible semi-parametric methodology for density estimation when the variables under investigation have no boundaries. However, in practical applications variables may be partially bounded…

Methodology · Statistics 2019-12-30 Luca Scrucca

In this paper, we consider the problem of providing robustness to adversarial communication in multi-agent systems. Specifically, we propose a solution towards robust cooperation, which enables the multi-agent system to maintain high…

Robotics · Computer Science 2020-12-02 Rupert Mitchell , Jan Blumenkamp , Amanda Prorok

Passive monitoring of acoustic or radio sources has important applications in modern convenience, public safety, and surveillance. A key task in passive monitoring is multiobject tracking (MOT). This paper presents a Bayesian method for…

Signal Processing · Electrical Eng. & Systems 2024-02-29 Wenyu Zhang , Florian Meyer

Most existing image denoising algorithms can only deal with a single type of noise, which violates the fact that the noisy observed images in practice are often suffered from more than one type of noise during the process of acquisition and…

Multimedia · Computer Science 2016-11-18 Jian Zhang , Ruiqin Xiong , Chen Zhao , Siwei Ma , Debin Zhao

The paper discusses the increasing use of hybridized sensor information for GNSS-based localization and navigation, including the use of 3D map-aided GNSS positioning and terrestrial systems based on different geometric measurement…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Paul Schwarzbach , Albrecht Michler , Oliver Michler

A variety of filters with track-before-detect (TBD) strategies have been developed and applied to low signal-to-noise ratio (SNR) scenarios, including the probability hypothesis density (PHD) filter. Assumptions of the standard point…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Haiyi Mao , Cong Peng , Yue Liu , Jinping Tang , Hua Peng , Wei Yi

This paper focuses on efficient computational approaches to compute approximate solutions of a linear inverse problem that is contaminated with mixed Poisson--Gaussian noise, and when there are additional outliers in the measured data. The…

Numerical Analysis · Mathematics 2018-01-22 Marie Kubínová , James G. Nagy

We develop a mixture model for transition density approximation, together with soft model selection, in the presence of noisy and heterogeneous nonlinear dynamics. Our model builds on the Gaussian mixture transition distribution (MTD) model…

Methodology · Statistics 2021-06-03 Matthew Heiner , Athanasios Kottas

This paper introduces a Poisson multi-Bernoulli mixture (PMBM) filter in which the intensities of target birth and undetected targets are grid-based. A simplified version of the Rao-Blackwellized point mass filter is used to predict the…

Signal Processing · Electrical Eng. & Systems 2021-03-22 Per Boström-Rost , Daniel Axehill , Gustaf Hendeby