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Nonlinear filtering is the problem of online estimation of a dynamic hidden variable from incoming data and has vast applications in different fields, ranging from engineering, machine learning, economic science and natural sciences. We…

Methodology · Statistics 2019-11-19 Anna Kutschireiter , Simone Carlo Surace , Jean-Pascal Pfister

The ongoing evolution of the electric power systems brings about the need to cope with increasingly complex interactions of technical components and relevant actors. In order to integrate a more comprehensive spectrum of different aspects…

Systems and Control · Computer Science 2013-08-21 Markus Schläpfer , Tom Kessler , Wolfgang Kröger

This article describes Monte-Carlo algorithms for charged systems using constrained updates for the electric field. The method is generalized to treat inhomogeneous dielectric media, electrolytes via the Poisson-Boltzmann equation and…

Statistical Mechanics · Physics 2009-11-10 A. C. Maggs

Bayesian computation for filtering and forecasting analysis is developed for a broad class of dynamic models. The ability to scale-up such analyses in non-Gaussian, nonlinear multivariate time series models is advanced through the…

Methodology · Statistics 2022-06-07 Isaac Lavine , Andrew Cron , Mike West

Particle filters (PFs) are recursive Monte Carlo algorithms for Bayesian tracking and prediction in state space models. This paper addresses continuous-discrete filtering problems, where the hidden state evolves as an It\^o stochastic…

Computation · Statistics 2026-04-24 Utku Erdogan , Gabriel J. Lord , Joaquin Miguez

Twisted particle filters are a class of sequential Monte Carlo methods recently introduced by Whiteley and Lee to improve the efficiency of marginal likelihood estimation in state-space models. The purpose of this article is to extend the…

Computation · Statistics 2024-10-30 Juha Ala-Luhtala , Nick Whiteley , Kari Heine , Robert Piche

Electricity forecasting has been a recurring research topic, as it is key to finding the right balance between production and consumption. While most papers are focused on the national or regional scale, few are interested in the household…

Clustering analysis of daily load profiles represents an effective technique to classify and aggregate electric users based on their actual consumption patterns. Among other purposes, it may be exploited as a preliminary stage for load…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Francesca Soldan , Alberto Maldarella , Gabriele Paludetto , Enea Bionda , Federico Belloni , Samuele Grillo

The use of sequential Monte Carlo within simulation for path-dependent option pricing is proposed and evaluated. Recently, it was shown that explicit solutions and importance sampling are valuable for efficient simulation of spot price and…

Computational Finance · Quantitative Finance 2019-11-13 Michael A. Kouritzin , Anne MacKay

For the purpose of Monte Carlo scenario generation, we propose a graphical model for the joint distribution of wind power and electricity demand in a given region. To conform with the practice in the electric power industry, we assume that…

Methodology · Statistics 2021-11-30 René Carmona , Xinshuo Yang

Power load forecast with Machine Learning is a fairly mature application of artificial intelligence and it is indispensable in operation, control and planning. Data selection techniqies have been hardly used in this application. However,…

Bayesian inference methods are applied within a Bayesian hierarchical modelling framework to the problems of joint state and parameter estimation, and of state forecasting. We explore and demonstrate the ideas in the context of a simple…

Applications · Statistics 2012-11-09 John Parslow , Noel Cressie , Edward P. Campbell , Emlyn Jones , Lawrence Murray

The ever increasing penetration of plug-in hybrid electric vehicles in distribution systems has triggered the need for a more accurate and at the same time fast solution to probabilistic distribution power flow problem. In this paper a…

Signal Processing · Electrical Eng. & Systems 2017-10-31 Mohammadhadi Rouhani , Mohammad Mohammadi

Various particle filters have been proposed over the last couple of decades with the common feature that the update step is governed by a type of control law. This feature makes them an attractive alternative to traditional sequential Monte…

Optimization and Control · Mathematics 2021-11-18 Sahani Pathiraja , Sebastian Reich , Wilhelm Stannat

We consider the combined use of resampling and partial rejection control in sequential Monte Carlo methods, also known as particle filters. While the variance reducing properties of rejection control are known, there has not been (to the…

Computation · Statistics 2020-03-05 Jan Kudlicka , Lawrence M. Murray , Thomas B. Schön , Fredrik Lindsten

This paper presents the construction of a particle filter, which incorporates elements inspired by genetic algorithms, in order to achieve accelerated adaptation of the estimated posterior distribution to changes in model parameters.…

Machine Learning · Statistics 2018-06-15 Karol Gellert , Erik Schlögl

Computer simulations of differential equations require a time discretization, which inhibits to identify the exact solution with certainty. Probabilistic simulations take this into account via uncertainty quantification. The construction of…

Numerical Analysis · Mathematics 2020-10-15 Philipp Frank , Torsten A. Enßlin

Electricity price forecasting is a critical tool for the efficient operation of power systems and for supporting informed decision-making by market participants. This paper explores a novel methodology aimed at improving the accuracy of…

Applications · Statistics 2025-01-13 Bartosz Uniejewski , Florian Ziel

Measurement and analysis of high energetic particles for scientific, medical or industrial applications is a complex procedure, requiring the design of sophisticated detector and data processing systems. The development of adaptive and…

Computational Physics · Physics 2025-10-30 Tobias Kortus , Ralf Keidel , Nicolas R. Gauger

Recent advances in incorporating neural networks into particle filters provide the desired flexibility to apply particle filters in large-scale real-world applications. The dynamic and measurement models in this framework are learnable…

Machine Learning · Computer Science 2021-03-30 Hao Wen , Xiongjie Chen , Georgios Papagiannis , Conghui Hu , Yunpeng Li
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