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We consider the problem of filtering dynamical systems, possibly stochastic, using observations of statistics. Thus, the computational task is to estimate a time-evolving density $\rho(v, t)$ given noisy observations of the true density…

Methodology · Statistics 2024-03-12 Eviatar Bach , Tim Colonius , Isabel Scherl , Andrew Stuart

Recursive estimation of nonlinear dynamical systems is an important problem that arises in several engineering applications. Consistent and accurate propagation of uncertainties is important to ensuring good estimation performance. It is…

Systems and Control · Computer Science 2016-03-16 Dilshad Raihan Akkam Veettil , Suman Chakravorty

The filtering distribution captures the statistics of the state of a dynamical system from partial and noisy observations. Classical particle filters provably approximate this distribution in quite general settings; however they behave…

Statistics Theory · Mathematics 2025-02-10 Edoardo Calvello , Pierre Monmarché , Andrew M. Stuart , Urbain Vaes

This work proposes a novel framework for visual tracking based on the integration of an iterative particle filter, a deep convolutional neural network, and a correlation filter. The iterative particle filter enables the particles to correct…

Computer Vision and Pattern Recognition · Computer Science 2023-01-05 Reza Jalil Mozhdehi , Henry Medeiros

An Ensemble Kalman Filter (EnKF, the predictor) is used make a large change in the state, followed by a Particle Filer (PF, the corrector) which assigns importance weights to describe non-Gaussian distribution. The weights are obtained by…

Computation · Statistics 2009-07-20 Jan Mandel , Jonathan D. Beezley

The feedback particle filter (FPF), a resampling-free algorithm proposed over a decade ago, modifies the particle filter (PF) by incorporating a feedback structure. Each particle in FPF is regulated via a feedback gain function (lacking a…

Optimization and Control · Mathematics 2025-11-04 Ruoyu Wang , Xue Luo

A series of novel filters for probabilistic inference that propose an alternative way of performing Bayesian updates, called particle flow filters, have been attracting recent interest. These filters provide approximate solutions to…

Methodology · Statistics 2017-03-24 Flávio Eler De Melo , Simon Maskell , Matteo Fasiolo , Fred Daum

This paper addresses the numerical aspects of adaptive filtering (AF) techniques for simultaneous state and parameters estimation arising in the design of dynamic positioning systems in many areas of research. The AF schemes consist of a…

Optimization and Control · Mathematics 2017-01-02 Maria V. Kulikova , Julia V. Tsyganova

In cognitive systems, recent emphasis has been placed on studying the cognitive processes of the subject whose behavior was the primary focus of the system's cognitive response. This approach, known as inverse cognition, arises in…

Optimization and Control · Mathematics 2025-04-01 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

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

As a fundamental information fusion approach, the arithmetic average (AA) fusion has recently been investigated for various random finite set (RFS) filter fusion in the context of multi-sensor multi-target tracking. It is not a…

Systems and Control · Electrical Eng. & Systems 2025-02-24 Tiancheng Li

In this survey, we describe controlled interacting particle systems (CIPS) to approximate the solution of the optimal filtering and the optimal control problems. Part I of the survey is focussed on the feedback particle filter (FPF)…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Amirhossein Taghvaei , Prashant G. Mehta

The robust estimation of dynamically changing features, such as the position of prey, is one of the hallmarks of perception. On an abstract, algorithmic level, nonlinear Bayesian filtering, i.e. the estimation of temporally changing signals…

Neurons and Cognition · Quantitative Biology 2022-01-05 Anna Kutschireiter , Simone Carlo Surace , Henning Sprekeler , Jean-Pascal Pfister

In millimeter-wave (mmWave) systems, beamforming is needed to overcome harsh channel environments. As a promising beamforming solution, lens antenna array (LAA) implementation can provide a cost-effective solution without notable…

Signal Processing · Electrical Eng. & Systems 2020-11-03 Liza Afeef , Murat Karabacak , Hüseyin Arslan

Bootstrap particle filter (BPF) is the corner stone of many popular algorithms used for solving inference problems involving time series that are observed through noisy measurements in a non-linear and non-Gaussian context. The long term…

Computation · Statistics 2018-12-05 Kari Heine , Nick Whiteley , A. Taylan Cemgil

Localization using time-difference of arrival (TDOA) has myriad applications, e.g., in passive surveillance systems and marine mammal research. In this paper, we present a Bayesian estimation method that can localize an unknown number of…

Signal Processing · Electrical Eng. & Systems 2024-09-02 Wenyu Zhang , Mohammad Javad Khojasteh , Florian Meyer

The matched filter (MF) is widely used to detect signals hidden within the noise. If the noise is Gaussian, its performances are well-known and describable in an elegant analytical form. The treatment of non-Gaussian noises is often…

Instrumentation and Methods for Astrophysics · Physics 2018-08-08 Roberto Vio , Paola Andreani

Most recent works on multi-target tracking with multiple cameras focus on centralized systems. In contrast, this paper presents a multi-target tracking approach implemented in a distributed camera network. The advantages of distributed…

Computer Vision and Pattern Recognition · Computer Science 2021-04-19 Sara Casao , Abel Naya , Ana C. Murillo , Eduardo Montijano

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

This paper is concerned with particle filtering for $\alpha$-stable stochastic volatility models. The $\alpha$-stable distribution provides a flexible framework for modeling asymmetry and heavy tails, which is useful when modeling financial…

Computation · Statistics 2014-05-20 Emilian Vankov , Katherine B. Ensor
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