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Sequential Monte Carlo methods are typically not straightforward to implement on parallel architectures. This is because standard resampling schemes involve communication between all particles. The $\alpha$-sequential Monte Carlo method was…

Statistics Theory · Mathematics 2022-02-21 Deborshee Sen

We consider the problem of approximate belief-state monitoring using particle filtering for the purposes of implementing a policy for a partially-observable Markov decision process (POMDP). While particle filtering has become a widely-used…

Artificial Intelligence · Computer Science 2013-01-14 Pascal Poupart , Luis E. Ortiz , Craig Boutilier

A Bayesian filtering algorithm is developed for a class of state-space systems that can be modelled via Gaussian mixtures. In general, the exact solution to this filtering problem involves an exponential growth in the number of mixture…

Machine Learning · Statistics 2023-07-03 Adrian G. Wills , Johannes Hendriks , Christopher Renton , Brett Ninness

The problem of parameterization is often central to the effective deployment of nature-inspired algorithms. However, finding the optimal set of parameter values for a combination of problem instance and solution method is highly…

Neural and Evolutionary Computing · Computer Science 2014-06-26 Matthew Crossley , Andy Nisbet , Martyn Amos

In transportation planning and development, transport network design problem seeks to optimize specific objectives (e.g. total travel time) through choosing among a given set of projects while keeping consumption of resources (e.g. budget)…

Optimization and Control · Mathematics 2015-02-04 Mehran Fasihozaman Langerudi

The number of resident space objects is rising at an alarming rate. Mega-constellations and breakup events are proliferating in most orbital regimes, and safe navigation is becoming increasingly problematic. It is important to be able to…

Instrumentation and Methods for Astrophysics · Physics 2025-04-11 Yannick Sztamfater Garcia , Joaquin Miguez , Manuel Sanjurjo-Rivo

This paper is concerned with a recently developed paradigm for population-based optimization, termed particle filter optimization (PFO). This paradigm is attractive in terms of coherence in theory and easiness in mathematical analysis and…

Machine Learning · Statistics 2018-11-26 Bin Liu , Yaochu Jin

This thesis investigates the use of problem-specific knowledge to enhance a genetic algorithm approach to multiple-choice optimisation problems.It shows that such information can significantly enhance performance, but that the choice of…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Uwe Aickelin

Genetic algorithms are modeled after the biological evolutionary processes that use natural selection to select the best species to survive. They are heuristics based and low cost to compute. Genetic algorithms use selection, crossover, and…

Neural and Evolutionary Computing · Computer Science 2020-05-28 Mee Seong Im , Venkat R. Dasari

The Ensemble Kalman Filter method can be used as an iterative particle numerical scheme for state dynamics estimation and control--to--observable identification problems. In applications it may be required to enforce the solution to satisfy…

Numerical Analysis · Mathematics 2020-08-26 Michael Herty , Giuseppe Visconti

Particle filtering is a powerful approximation method that applies to state estimation in nonlinear and non-Gaussian dynamical state-space models. Unfortunately, the approximation error depends exponentially on the system dimension. This…

Optimization and Control · Mathematics 2014-07-02 Francesco Bertoli , Adrian N. Bishop

This paper proposes the application of particle swarm optimization (PSO) to the problem of finite element model (FEM) selection. This problem arises when a choice of the best model for a system has to be made from set of competing models,…

Artificial Intelligence · Computer Science 2009-10-13 Linda Mthembu , Tshilidzi Marwala , Michael I. Friswell , Sondipon Adhikari

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

Large deviations for additive path functionals of stochastic processes have attracted significant research interest, in particular in the context of stochastic particle systems and statistical physics. Efficient numerical `cloning'…

Probability · Mathematics 2021-07-21 Letizia Angeli , Stefan Grosskinsky , Adam M. Johansen

We investigate the impact of filter choice on forecast accuracy in state space models. The filters are used both to estimate the posterior distribution of the parameters, via a particle marginal Metropolis-Hastings (PMMH) algorithm, and to…

Computation · Statistics 2019-08-21 Patrick Leung , Catherine S. Forbes , Gael M. Martin , Brendan McCabe

We consider the problem of designing efficient particle filters for twisted Feynman--Kac models. Particle filters using twisted models can deliver low error approximations of statistical quantities and such twisting functions can be learnt…

Methodology · Statistics 2022-08-09 Joshua J Bon , Christopher Drovandi , Anthony Lee

We investigate the use of possibly the simplest scheme for the parallelisation of the standard particle filter, that consists in splitting the computational budget into $M$ fully independent particle filters with $N$ particles each, and…

Computation · Statistics 2015-10-12 Dan Crisan , Joaquin Miguez , Gonzalo Rios

In this study we address existing deficiencies in the literature on applications of Particle Swarm Optimization to generate optimal designs. We present the results of a large computer study in which we bench-mark both efficiency and…

Neural and Evolutionary Computing · Computer Science 2022-06-15 Stephen J. Walsh , John J. Borkowski

In a Bayesian context, theoretical parameters are correlated random variables. Then, the constraints on one parameter can be improved by either measuring this parameter more precisely - or by measuring the other parameters more precisely.…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-17 L. Amendola , E. Sellentin

Probabilistic modeling provides the capability to represent and manipulate uncertainty in data, models, predictions and decisions. We are concerned with the problem of learning probabilistic models of dynamical systems from measured data.…

Computation · Statistics 2018-03-14 Thomas B. Schön , Andreas Svensson , Lawrence Murray , Fredrik Lindsten