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The implicit particle filter is a sequential Monte Carlo method for data assimilation that guides the particles to the high-probability regions via a sequence of steps that includes minimizations. We present a new and more general…

Data Analysis, Statistics and Probability · Physics 2017-02-01 Ethan Atkins , Matthias Morzfeld , Alexandre J. Chorin

This paper proposes a framework for 3D obstacle avoidance in the presence of partial observability of environment obstacles. The method focuses on the utility of the Artificial Potential Function (APF) controller in a practical setting…

Robotics · Computer Science 2021-03-18 Shakeeb Ahmad , Zachary N. Sunberg , J. Sean Humbert

In this paper, we study the optimal filtering problem for a interacting particle system generated by stochastic differential equations with interaction. By using Malliavin calculus, we construct the differential equation of the covariance…

Optimization and Control · Mathematics 2024-09-04 Andrey Dorogovtsev , Yuecai Han , Kateryna Hlyniana , Yuhang Li

In this article, we present the elitist particle filter based on evolutionary strategies (EPFES) as an efficient approach for nonlinear system identification. The EPFES is derived from the frequently-employed state-space model, where the…

Machine Learning · Statistics 2016-05-26 Christian Huemmer , Christian Hofmann , Roland Maas , Walter Kellermann

Mean-field games (MFGs) study the Nash equilibrium of systems with a continuum of interacting agents, which can be formulated as the fixed-point of optimal control problems. They provide a unified framework for a variety of applications,…

Machine Learning · Statistics 2025-12-02 Jiajia Yu , Junghwan Lee , Yao Xie , Xiuyuan Cheng

Mixture-model particle filters such as the ensemble Gaussian mixture filter require a resampling procedure in order to converge to exact Bayesian inference. Canonically, stochastic resampling is performed, which provides useful samples with…

Computation · Statistics 2025-01-30 Andrey A Popov , Renato Zanetti

In general-purpose particle detectors, the particle-flow algorithm may be used to reconstruct a comprehensive particle-level view of the event by combining information from the calorimeters and the trackers, significantly improving the…

Data Analysis, Statistics and Probability · Physics 2021-06-10 Joosep Pata , Javier Duarte , Jean-Roch Vlimant , Maurizio Pierini , Maria Spiropulu

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

We introduce an algorithm to systematically improve the efficiency of parallel tempering Monte Carlo simulations by optimizing the simulated temperature set. Our approach is closely related to a recently introduced adaptive algorithm that…

Other Condensed Matter · Physics 2007-05-23 Helmut G. Katzgraber , Simon Trebst , David A. Huse , Matthias Troyer

Finite element model updating is challenging because 1) the problem is oftentimes underdetermined while the measurements are limited and/or incomplete; 2) many combinations of parameters may yield responses that are similar with respect to…

Applications · Statistics 2021-07-28 Kai Zhou , Jiong Tang

Model Predictive Path Integral control is a powerful sampling-based approach suitable for complex robotic tasks due to its flexibility in handling nonlinear dynamics and non-convex costs. However, its applicability in real-time,…

Robotics · Computer Science 2025-12-15 Tommaso Belvedere , Michael Ziegltrum , Giulio Turrisi , Valerio Modugno

On-line estimation plays an important role in process control and monitoring. Obtaining a theoretical solution to the simultaneous state-parameter estimation problem for non-linear stochastic systems involves solving complex…

Computation · Statistics 2013-07-15 Aditya Tulsyan , Biao Huang , R. Bhushan Gopaluni , J. Fraser Forbes

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 massive integration of distributed energy resources changes the operational demands of the electric power distribution system, motivating optimization-based approaches. The added computational complexities of the resulting optimal power…

Optimization and Control · Mathematics 2023-07-04 Yunqi Luo , Rabayet Sadnan , Bala Krishnamoorthy , Anamika Dubey

In this Letter, we introduce a modified collaborative filtering (MCF) algorithm, which has remarkably higher accuracy than the standard collaborative filtering. In the MCF, instead of the standard Pearson coefficient, the user-user…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Jian-Guo Liu , Tao Zhou , Bing-Hong Wang , Yi-Cheng Zhang

The Linear Multistep Method Particle Filter (LMM PF) is a method for predicting the evolution in time of a evolutionary system governed by a system of differential equations. If some of the parameters of the governing equations are…

Numerical Analysis · Computer Science 2016-05-18 Daniela Calvetti , Salvatore Cuomo , Monica Pragliola , Erkki Somersalo , Gerardo Toraldo

In the following article we develop a particle filter for approximating Feynman-Kac models with indicator potentials. Examples of such models include approximate Bayesian computation (ABC) posteriors associated with hidden Markov models…

Computation · Statistics 2013-04-02 Ajay Jasra , Anthony Lee , Christopher Yau , Xiaole Zhang

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

Collaborative Filtering (CF) is a pivotal research area in recommender systems that capitalizes on collaborative similarities between users and items to provide personalized recommendations. With the remarkable achievements of node…

Information Retrieval · Computer Science 2024-01-30 Yifang Qin , Wei Ju , Xiao Luo , Yiyang Gu , Zhiping Xiao , Ming Zhang

Bayesian models have become very popular over the last years in several fields such as signal processing, statistics, and machine learning. Bayesian inference requires the approximation of complicated integrals involving posterior…

Computation · Statistics 2021-07-20 Luca Martino , Víctor Elvira