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This paper introduces the {\it particle swarm filter} (not to be confused with particle swarm optimization): a recursive and embarrassingly parallel algorithm that targets an approximation to the sequence of posterior predictive…

Methodology · Statistics 2021-02-16 Taylor R. Brown

Particle tracking is common in many biophysical, ecological, and micro-fluidic applications. Reliable tracking information is heavily dependent on of the system under study and algorithms that correctly determines particle position between…

Computer Vision and Pattern Recognition · Computer Science 2016-05-12 Alvaro Rodriguez , Hanqing Zhang , Krister Wiklund , Tomas Brodin , Jonatan Klaminder , Patrik Andersson , Magnus Andersson

The ability to search for radiation sources is of interest to the Homeland Security community. The hope is to find any radiation sources which may pose a reasonable chance for harm in a terrorist act. The best chance of success for search…

Signal Processing · Electrical Eng. & Systems 2021-03-11 William P. Ford , Emma Hague , Tom McCullough , Eric Moore , Johanna Turk

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

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

The paper addresses the problem of distributed filtering with guaranteed convergence properties using minimum-energy filtering and $H_\infty$ filtering methodologies. A linear state space plant model is considered observed by a network of…

Systems and Control · Computer Science 2014-09-19 Mohammad Zamani , Valery Ugrinovskii

Various physics observables can be determined from the localisation of distinct edge-like features in distributions of measurement values. In this paper, we address the observation that neither differentiating nor fitting the measured…

High Energy Physics - Experiment · Physics 2021-07-14 Mikael Berggren , Stefano Caiazza , Madalina Chera , Jenny List

We introduce an auxiliary technique, called residual nudging, to the particle filter to enhance its performance in cases that it performs poorly. The main idea of residual nudging is to monitor, and if necessary, adjust the residual norm of…

Atmospheric and Oceanic Physics · Physics 2013-06-03 Xiaodong Luo , Ibrahim Hoteit

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

This paper presents two approaches for filter design based on stochastic distances for intensity speckle reduction. A window is defined around each pixel, overlapping samples are compared and only those which pass a goodness-of-fit test are…

Information Theory · Computer Science 2013-08-21 Leonardo Torres , Alejandro C. Frery

We consider the inverse problem of fitting atmospheric dispersion parameters based on time-resolved back-scattered differential absorption Lidar (DIAL) measurements. The obvious advantage of light-based remote sensing modalities is their…

Analysis of PDEs · Mathematics 2023-08-01 Robert Lung , Nick Polydorides

Particle filters provide Monte Carlo approximations of intractable quantities such as point-wise evaluations of the likelihood in state space models. In many scenarios, the interest lies in the comparison of these quantities as some…

Methodology · Statistics 2016-07-19 Pierre E. Jacob , Fredrik Lindsten , Thomas B. Schön

This Note investigates the bias of the sampling importance resampling (SIR) filter in estimation of the state transition noise in the state space model. The SIR filter may suffer from sample impoverishment that is caused by the resampling…

Systems and Control · Computer Science 2017-07-31 Tiancheng Li

A particle filter is introduced to numerically approximate a solution of the global optimization problem. The theoretical significance of this work comes from its variational aspects: (i) the proposed particle filter is a controlled…

Optimization and Control · Mathematics 2017-01-11 Chi Zhang , Amirhossein Taghvaei , Prashant G. Mehta

In this paper, we consider a novel and robust maximum likelihood approach to localizing radiation sources with unknown statistics of the source signal strength. The result utilizes the smallest number of sensors required theoretically to…

Optimization and Control · Mathematics 2016-10-11 Henry E. Baidoo-Williams

The performance of a particle filter (PF) in nonlinear and non-Gaussian environments is often affected by particle degeneracy and impoverishment problems. In this paper, these two problems are re-assessed using the concepts of importance…

Applications · Statistics 2019-10-16 Xingzi Qiang , Yanbo Zhu , Rui Xue

This paper considers the problem of localising a stationary signal source using a team of mobile agents which only take binary measurements. Background false detection rates and missed detection probabilities are incorporated into the…

Signal Processing · Electrical Eng. & Systems 2018-09-13 Daniel D. Selvaratnam , Iman Shames , Jonathan H. Manton , Branko Ristic

The soft error rate (SER) of integrated circuits (ICs) operating in space environment may vary by several orders of magnitude due to the variable intensity of radiation exposure. To ensure the radiation hardness without compromising the…

Instrumentation and Detectors · Physics 2021-04-06 Marko Andjelkovic , Junchao Chen , Aleksandar Simevski , Zoran Stamenkovic , Milos Krstic , Rolf Kraemer

A standard approach to approximate inference in state-space models isto apply a particle filter, e.g., the Condensation Algorithm.However, the performance of particle filters often varies significantlydue to their stochastic nature.We…

Artificial Intelligence · Computer Science 2013-01-14 Dirk Ormoneit , Christiane Lemieux , David J. Fleet

A standardized phase retrieval algorithm is presented and applied to an industry-grade high-energy ultrashort pulsed laser to uncover its spatial phase distribution. We describe in detail how to modify the well-known algorithm in order to…