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We present an efficient particle filtering algorithm for multiscale systems, that is adapted for simple atmospheric dynamics models which are inherently chaotic. Particle filters represent the posterior conditional distribution of the state…

Data Analysis, Statistics and Probability · Physics 2015-06-04 Nishanth Lingala , N. Sri Namachchivaya , Nicolas Perkowski , Hoong C. Yeong

Most reinforcement learning practitioners evaluate their policies with online Monte Carlo estimators for either hyperparameter tuning or testing different algorithmic design choices, where the policy is repeatedly executed in the…

Machine Learning · Computer Science 2024-10-03 Shuze Liu , Shangtong Zhang

Sequential Monte Carlo (SMC), or particle filtering, is widely used in nonlinear state-space systems, but its performance often suffers from poorly approximated proposal and state-transition distributions. This work introduces a…

Machine Learning · Computer Science 2026-05-14 Wessel L. van Nierop , Nir Shlezinger , Ruud J. G. van Sloun

The online estimation of rhythmic information, such as beat positions, downbeat positions, and meter, is critical for many real-time music applications. Musical rhythm comprises complex hierarchical relationships across time, rendering its…

Audio and Speech Processing · Electrical Eng. & Systems 2021-08-10 Mojtaba Heydari , Frank Cwitkowitz , Zhiyao Duan

We look at a stochastic time-varying optimization problem and we formulate online algorithms to find and track its optimizers in expectation. The algorithms are derived from the intuition that standard prediction and correction steps can be…

Optimization and Control · Mathematics 2024-04-11 Andrea Simonetto , Paolo Massioni

In the present paper we consider the varying coefficient model which represents a useful tool for exploring dynamic patterns in many applications. Existing methods typically provide asymptotic evaluation of precision of estimation…

Statistics Theory · Mathematics 2013-02-07 Olga Klopp , Marianna Pensky

Recently, it has been demonstrated experimentally that adaptive estimation of a continuously varying optical phase provides superior accuracy in the phase estimate compared to static estimation. Here, we show that the mean-square error in…

Quantum Physics · Physics 2012-12-12 Shibdas Roy , Ian R. Petersen , Elanor H. Huntington

The implementation of optimal statistical inference protocols for high-dimensional quantum systems is often computationally expensive. To avoid the difficulties associated with optimal techniques, here I propose an alternative approach to…

Quantum Physics · Physics 2015-12-23 Mankei Tsang

The focus of this paper is the estimation of a delay between two signals. Such a problem is common in signal processing and particularly challenging when the delay is non-stationary in nature. Our proposed solution is based on an all-pass…

Signal Processing · Electrical Eng. & Systems 2021-06-17 Beth Jelfs , Shuai Sun , Kamran Ghorbani , Christopher Gilliam

We study risk-sensitive planning under partial observability using the dynamic risk measure Iterated Conditional Value-at-Risk (ICVaR). A policy evaluation algorithm for ICVaR is developed with finite-time performance guarantees that do not…

Artificial Intelligence · Computer Science 2026-01-29 Yaacov Pariente , Vadim Indelman

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

The complexity of semiparametric models poses new challenges to statistical inference and model selection that frequently arise from real applications. In this work, we propose new estimation and variable selection procedures for the…

Statistics Theory · Mathematics 2011-03-09 Bo Kai , Runze Li , Hui Zou

Particle and ensemble filters are increasingly utilized for inference, optimization, and forecast; however, both filtering methods use discrete distributions to simulate continuous state space, a drawback that can lead to degraded…

Methodology · Statistics 2014-03-27 Wan Yang , Jeffrey Shaman

Resampling is a key component of sample-based recursive state estimation in particle filters. Recent work explores differentiable particle filters for end-to-end learning. However, resampling remains a challenge in these works, as it is…

Machine Learning · Computer Science 2020-04-28 Michael Zhu , Kevin Murphy , Rico Jonschkowski

In this paper we combine the non-linear filtering capabilities of particle filters with the transdimensional inference of the reversible-jump Markov chain Monte Carlo method for a data assimilation methodology over dynamic problems with…

Geophysics · Physics 2026-03-27 Márk Somogyvári , Sebastian Reich

Non-stationary signals are ubiquitous in real life. Many techniques have been proposed in the last decades which allow decomposing multi-component signals into simple oscillatory mono-components, like the groundbreaking Empirical Mode…

Numerical Analysis · Mathematics 2024-01-30 Giovanni Barbarino , Antonio Cicone

In this article we study asymptotic properties of weighted samples produced by the auxiliary particle filter (APF) proposed by pitt and shephard (1999). Besides establishing a central limit theorem (CLT) for smoothed particle estimates, we…

Statistics Theory · Mathematics 2007-09-24 Randal Douc , Eric Moulines , Jimmy Olsson

This paper develops a particle filter maximum likelihood estimator for the competitive storage model. The estimator is suitable for inference problems in commodity markets where only reliable price data is available for estimation, and…

Methodology · Statistics 2017-01-10 Tore Selland Kleppe , Atle Oglend

The aim of this paper is to provide a variational interpretation of the nonlinear filter in continuous time. A time-stepping procedure is introduced, consisting of successive minimization problems in the space of probability densities. The…

Optimization and Control · Mathematics 2014-12-19 Richard S. Laugesen , Prashant G. Mehta , Sean P. Meyn , Maxim Raginsky

This paper presents a novel algorithm, the particle-based, rapid incremental smoother (PaRIS), for efficient online approximation of smoothed expectations of additive state functionals in general hidden Markov models. The algorithm, which…

Computation · Statistics 2014-12-25 Jimmy Olsson , Johan Westerborn
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