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Related papers: Robust TMA using the possibility particle filter

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Target tracking problem has many practical applications in real life. In submarines, target tracking is done using, preferably, passive sensors. These sensors measure only the bearing angles between the observed target and the ownship.…

Signal Processing · Electrical Eng. & Systems 2020-02-24 Hasan Hüseyin Sönmez , Köksal Hocaoğlu

A commonly encountered problem is the tracking of a physical object, like a maneuvering ship, aircraft, land vehicle, spacecraft or animate creature carrying a wireless device. The sensor data is often limited and inaccurate observations of…

Systems and Control · Computer Science 2015-03-02 Kevin Judd

This study considers the object localization problem and proposes a novel multiparticle Kalman filter to solve it in complex and symmetric environments. Two well-known classes of filtering algorithms to solve the localization problem are…

Robotics · Computer Science 2023-03-15 Roman Korkin , Ivan Oseledets , Aleksandr Katrutsa

The particle filter is a popular Bayesian filtering algorithm for use in cases where the state-space model is nonlinear and/or the random terms (initial state or noises) are non-Gaussian distributed. We study the behavior of the error in…

Computation · Statistics 2019-03-29 Ziyu Liu , Shihong Wei , James C. Spall

Here we revisit the classic problem of linear quadratic estimation, i.e. estimating the trajectory of a linear dynamical system from noisy measurements. The celebrated Kalman filter gives an optimal estimator when the measurement noise is…

Machine Learning · Statistics 2021-11-12 Sitan Chen , Frederic Koehler , Ankur Moitra , Morris Yau

This article discusses a partially adapted particle filter for estimating the likelihood of a nonlinear structural econometric state space models whose state transition density cannot be expressed in closed form. The filter generates the…

Methodology · Statistics 2012-09-05 Jamie Hall , Michael K. Pitt , Robert Kohn

Standard maximum likelihood or Bayesian approaches to parameter estimation for stochastic differential equations are not robust to perturbations in the continuous-in-time data. In this paper, we give a rather elementary explanation of this…

Numerical Analysis · Mathematics 2023-12-20 Sebastian Reich

We address the problem of observation noise misspecification in Bayesian filtering of dynamical systems via recent advances in generalised Bayesian inference. Mis-match in tail decay between the true data generating process and an assumed…

Statistics Theory · Mathematics 2026-05-27 Hans Reimann , Sebastian Reich

Using Bayesian transfer learning, we develop a particle filter approach for tracking a nonlinear dynamical model in a dual-tracking system where intensities of measurement noise for both sensors are asymmetric. The densities for Bayesian…

Signal Processing · Electrical Eng. & Systems 2025-11-24 Omar A. Alotaibi , Brian L. Mark , Mohammad Reza Fasihi

Multireference alignment (MRA) problem is to estimate an underlying signal from a large number of noisy circularly-shifted observations. The existing methods are always proposed under the hypothesis of a single Gaussian noise. However, the…

Optimization and Control · Mathematics 2021-07-23 Cuicui Zhao , Jun Liu , Xinqi Gong

Filtering point targets in highly cluttered and noisy data frames can be very challenging, especially for complex target motions. Fixed motion models can fail to provide accurate predictions, while learning based algorithm can be difficult…

Computer Vision and Pattern Recognition · Computer Science 2019-02-21 Mehryar Emambakhsh , Alessandro Bay , Eduard Vazquez

Model-based filtering is often carried out while subject to an imperfect model, as learning partially-observable stochastic systems remains a challenge. Recent work on Bayesian inference found that tempering the likelihood or full posterior…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Menno van Zutphen , Domagoj Herceg , Giannis Delimpaltadakis , Duarte J. Antunes

The particle filter (PF), also known as sequential Monte Carlo (SMC), approximates high-dimensional probability distributions and their normalizing constants in the discrete-time setting. To reduce the variance of the Monte Carlo…

Computation · Statistics 2026-05-05 Jianfeng Lu , Yuliang Wang

The problem of incorporating information from observations received serially in time is widespread in the field of uncertainty quantification. Within a probabilistic framework, such problems can be addressed using standard filtering…

Methodology · Statistics 2024-12-02 Chatchuea Kimchaiwong , Jeremie Houssineau , Adam M. Johansen

The particle filter is a powerful framework for estimating hidden states in dynamic systems where uncertainty, noise, and nonlinearity dominate. This mini-book offers a clear and structured introduction to the core ideas behind particle…

Computation · Statistics 2025-11-04 Sahil Rajesh Dhayalkar

Automatic lane tracking involves estimating the underlying signal from a sequence of noisy signal observations. Many models and methods have been proposed for lane tracking, and dynamic targets tracking in general. The Kalman Filter is a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-29 Jiawei Huang , Zhaowen Wang

Defining a multi-target motion model, which is an important step of tracking algorithms, can be very challenging. Using fixed models (as in several generative Bayesian algorithms, such as Kalman filters) can fail to accurately predict…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Mehryar Emambakhsh , Alessandro Bay , Eduard Vazquez

We present a modelling framework for multi-target tracking based on possibility theory and illustrate its ability to account for the general lack of knowledge that the target-tracking practitioner must deal with when working with real data.…

Methodology · Statistics 2021-03-10 Jeremie Houssineau

In this article, we are concerned with tracking an object of interest in video stream. We propose an algorithm that is robust against occlusion, the presence of confusing colors, abrupt changes in the object feature space and changes in…

Computer Vision and Pattern Recognition · Computer Science 2016-11-28 Yi Dai , Bin Liu

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