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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

Our article deals with Bayesian inference for a general state space model with the simulated likelihood computed by the particle filter. We show empirically that the partially or fully adapted particle filters can be much more efficient…

Methodology · Statistics 2010-06-11 Michael Pitt , Ralph Silva , Paolo Giordani , Robert Kohn

Particle filtering is a Bayesian inference method and a fundamental tool in state estimation for dynamic systems, but its effectiveness is often limited by the constraints of the initial prior distribution, a phenomenon we define as the…

Machine Learning · Statistics 2025-01-31 Yiwei Shi , Jingyu Hu , Yu Zhang , Mengyue Yang , Weinan Zhang , Cunjia Liu , Weiru Liu

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

When classical particle filtering algorithms are used for maximum likelihood parameter estimation in nonlinear state-space models, a key challenge is that estimates of the likelihood function and its derivatives are inherently noisy. The…

Computation · Statistics 2017-11-30 Andreas Svensson , Fredrik Lindsten , Thomas B. Schön

State estimation or filtering serves as a fundamental task to enable intelligent decision-making in applications such as autonomous vehicles, robotics, healthcare monitoring, smart grids, intelligent transportation, and predictive…

Machine Learning · Computer Science 2025-06-16 Aamir Hussain Chughtai

An event-based state estimation approach for reducing communication in a networked control system is proposed. Multiple distributed sensor agents observe a dynamic process and sporadically transmit their measurements to estimator agents…

Systems and Control · Computer Science 2017-03-27 Sebastian Trimpe

Particle filtering is used to compute good nonlinear estimates of complex systems. It samples trajectories from a chosen distribution and computes the estimate as a weighted average. Easy-to-sample distributions often lead to degenerate…

Machine Learning · Computer Science 2021-10-07 Fernando Gama , Nicolas Zilberstein , Richard G. Baraniuk , Santiago Segarra

This paper proposes an event-triggered variational Bayesian filter for remote state estimation with unknown and time-varying noise covariances. After presetting multiple nominal process noise covariances and an initial measurement noise…

Signal Processing · Electrical Eng. & Systems 2022-06-15 Xiaoxu Lv , Peihu Duan , Zhisheng Duan , Guanrong Chen , Ling Shi

Particle filters are applicable to a wide range of nonlinear, non-Gaussian state-space models and have already been applied to a variety of problems. However, there is a problem in the calculation of smoothed distributions, where particles…

Computation · Statistics 2024-05-16 G. Kitagawa

We propose and analyze a generalized splitting method to sample approximately from a distribution conditional on the occurrence of a rare event. This has important applications in a variety of contexts in operations research, engineering,…

Methodology · Statistics 2019-09-10 Zdravko I. Botev , Pierre L'Ecuyer

Model-based algorithms are deeply rooted in modern control and systems theory. However, they usually come with a critical assumption - access to an accurate model of the system. In practice, models are far from perfect. Even precisely tuned…

Systems and Control · Electrical Eng. & Systems 2022-04-06 Sebastian Schlor , Friedrich Solowjow , Sebastian Trimpe

Distributed state estimation strongly depends on collaborative signal processing, which often requires excessive communication and computation to be executed on resource-constrained sensor nodes. To address this problem, we propose an…

Systems and Control · Computer Science 2020-02-19 Amr Alanwar , Hazem Said , Ankur Mehta , Matthias Althoff

An event-based state estimation approach for reducing communication in a networked control system is proposed. Multiple distributed sensor-actuator-agents observe a dynamic process and sporadically exchange their measurements and inputs…

Systems and Control · Computer Science 2017-01-30 Sebastian Trimpe

We show that it is feasible to carry out exact Bayesian inference for non-Gaussian state space models using an adaptive Metropolis Hastings sampling scheme with the likelihood approximated by the particle filter. Furthermore, an adapyive…

Computation · Statistics 2009-11-03 Ralph Silva , Paolo Giordani , Robert Kohn , Mike Pitt

Particle filters are a powerful and flexible tool for performing inference on state-space models. They involve a collection of samples evolving over time through a combination of sampling and re-sampling steps. The re-sampling step is…

Computation · Statistics 2017-03-17 Deborshee Sen , Alexandre Thiery , Ajay Jasra

This paper considers the problem of distributed estimation in a sensor network, where multiple sensors are deployed to infer the state of a linear time-invariant (LTI) Gaussian system. By proposing a lossless decomposition of Kalman filter,…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Jiaqi Yan , Yilin Mo , Hideaki Ishii

Event-based state estimation can achieve estimation quality comparable to traditional time-triggered methods, but with a significantly lower number of samples. In networked estimation problems, this reduction in sampling instants does,…

Systems and Control · Computer Science 2016-09-27 Sebastian Trimpe

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 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
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