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Problem of adaptive state observer synthesis for linear time-varying (LTV) system with unknown time-varying parameter and delayed output measurements is considered. State observation problem has attracted the attention of many researchers…

Dynamical Systems · Mathematics 2022-07-26 Alexey Bobtsov , Nikolay Nikolaev , Olga Slita , Olga Kozachek

Particle filtering is a popular method for inferring latent states in stochastic dynamical systems, whose theoretical properties have been well studied in machine learning and statistics communities. In many control problems, e.g.,…

Machine Learning · Computer Science 2021-07-12 Simon S. Du , Wei Hu , Zhiyuan Li , Ruoqi Shen , Zhao Song , Jiajun Wu

Particle filtering is a powerful tool for target tracking. When the budget for observations is restricted, it is necessary to reduce the measurements to a limited amount of samples carefully selected. A discrete stochastic nonlinear…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Antoine Aspeel , Amaury Gouverneur , Raphaël M. Jungers , Benoît Macq

The particle filter is one of the most successful methods for state inference and identification of general non-linear and non-Gaussian models. However, standard particle filters suffer from degeneracy of the particle weights, in particular…

Computation · Statistics 2022-10-27 Anna Wigren , Lawrence Murray , Fredrik Lindsten

Particle filters are a widely used Monte Carlo based data assimilation technique that estimates the probability distribution of a system's state conditioned on observations through a collection of weights and particles. A known problem for…

Applications · Statistics 2025-10-29 Shay Gilpin , Michael Herty

The crucial step in designing a particle filter for a particular application is the choice of importance density. The optimal scheme is to use the conditional posterior density of the state, but this cannot be sampled or calculated…

Computation · Statistics 2014-08-15 Pete Bunch , Simon Godsill

In a variety of problems, the number and state of multiple moving targets are unknown and are subject to be inferred from their measurements obtained by a sensor with limited sensing ability. This type of problems is raised in a variety of…

Machine Learning · Computer Science 2015-01-13 Haojun Li

We develop a (nearly) unbiased particle filtering algorithm for a specific class of continuous-time state-space models, such that (a) the latent process $X_t$ is a linear Gaussian diffusion; and (b) the observations arise from a Poisson…

Computation · Statistics 2023-11-07 Ruiyang Jin , Sumeetpal S. Singh , Nicolas Chopin

A novel adaptive identifier is developed for nonlinear time-delay systems composed of linear, Lipschitz and non-Lipschitz components. To begin with, an identifier is designed for uncertain systems with a priori known delay values, and then…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Igor Furtat , Yury Orlov

Lagrangian Particle Tracking (LPT) enables practitioners to study various concepts in turbulence by measuring particle positions in flows of interest. This data is subject to measurement errors, and filtering techniques are applied to…

Fluid Dynamics · Physics 2026-01-16 Griffin M. Kearney , Kasey M. Laurent , Reece V. Kearney

We derive a parallel sampling algorithm for computational inverse problems that present an unknown linear forcing term and a vector of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of…

Numerical Analysis · Mathematics 2022-03-24 Darko Volkov

In this paper, we address the problem of simultaneous classification and estimation of hidden parameters in a sensor network with communications constraints. In particular, we consider a network of noisy sensors which measure a common…

Multiagent Systems · Computer Science 2012-06-19 Fabio Fagnani , Sophie M. Fosson , Chiara Ravazzi

The objective of this article is to study the asymptotic behavior of a new particle filtering approach in the context of hidden Markov models (HMMs). In particular, we develop an algorithm where the latent-state sequence is segmented into…

Statistics Theory · Mathematics 2014-09-16 Hock Peng Chan , Chiang Wee Heng , Ajay Jasra

This paper is concerned with the online estimation of a nonlinear dynamic system from a series of noisy measurements. The focus is on cases wherein outliers are present in-between normal noises. We assume that the outliers follow an unknown…

Computation · Statistics 2019-05-14 Bin Liu

Particle filters have, in recent years, been found to perform well in highly nonlinear problems as well as in estimation of parameters. However, there is still the problem of particle degeneracy in particle filters which has led to the…

Optimization and Control · Mathematics 2022-11-08 David Angwenyi

Differentiable particle filters are an emerging class of sequential Bayesian inference techniques that use neural networks to construct components in state space models. Existing approaches are mostly based on offline supervised training…

Machine Learning · Computer Science 2023-12-19 Jiaxi Li , Xiongjie Chen , Yunpeng Li

The unknown inputs in a dynamical system may represent unknown external drivers, input uncertainty, state uncertainty, or instrument faults and thus unknown-input reconstruction has several wide-spread applications. In this paper we…

Optimization and Control · Mathematics 2015-09-22 Roshan A Chavan , Harish J. Palanthandalam-Madapusi

Differentiable particle filters are an emerging class of particle filtering methods that use neural networks to construct and learn parametric state-space models. In real-world applications, both the state dynamics and measurements can…

Signal Processing · Electrical Eng. & Systems 2023-05-04 Wenhan Li , Xiongjie Chen , Wenwu Wang , Víctor Elvira , Yunpeng Li

For many nonlinear Bayesian state estimation problems, the posterior recursion is not analytically tractable, leading to algorithms that are influenced by numerical approximation errors. These algorithms depend on parameters that affect the…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Ondrej Straka , Felipe Giraldo-Grueso , Renato Zanetti

The problem of detecting anomalies in multiple processes is considered. We consider a composite hypothesis case, in which the measurements drawn when observing a process follow a common distribution with an unknown parameter (vector), whose…

Information Theory · Computer Science 2020-04-22 Bar Hemo , Tomer Gafni , Kobi Cohen , Qing Zhao