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Particle filters have, in recent years, been found to perform well in highly nonlinear problems as well as in estimation of parameters. However, there is still the problem of particle degeneracy in particle filters which has led to the…

最优化与控制 · 数学 2022-11-08 David Angwenyi

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…

数据分析、统计与概率 · 物理学 2015-06-04 Nishanth Lingala , N. Sri Namachchivaya , Nicolas Perkowski , Hoong C. Yeong

This paper proposes a novel framework for delay-tolerant particle filtering that is computationally efficient and has limited memory requirements. Within this framework the informativeness of a delayed (out-of-sequence) measurement (OOSM)…

应用统计 · 统计学 2015-05-20 Boris N. Oreshkin , Xuan Liu , Mark J. Coates

We consider the problem of randomly choosing the sensors of a linear time-invariant dynamical system subject to process and measurement noise. We sample the sensors independently and from the same distribution. We measure the performance of…

系统与控制 · 电气工程与系统科学 2021-03-23 Christopher I. Calle , Shaunak D. Bopardikar

The growing amount of applications that generate vast amount of data in short time scales render the problem of partial monitoring, coupled with prediction, a rather fundamental one. We study the aforementioned canonical problem under the…

数据结构与算法 · 计算机科学 2016-08-02 Michalis Kallitsis , Stilian Stoev , George Michailidis

Particle filtering is a standard Monte-Carlo approach for a wide range of sequential inference tasks. The key component of a particle filter is a set of particles with importance weights that serve as a proxy of the true posterior…

机器学习 · 计算机科学 2022-09-02 Ruizhi Deng , Greg Mori , Andreas M. Lehrmann

In this paper we consider the filtering of a class of partially observed piecewise deterministic Markov processes (PDMPs). In particular, we assume that an ordinary differential equation (ODE) drives the deterministic element and can only…

统计计算 · 统计学 2023-09-07 Ajay Jasra , Kengo Kamatani , Mohamed Maama

In many real-world continuous action domains, human agents must decide which actions to attempt and then execute those actions to the best of their ability. However, humans cannot execute actions without error. Human performance in these…

人工智能 · 计算机科学 2024-08-21 Delma Nieves-Rivera , Christopher Archibald

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…

统计计算 · 统计学 2019-08-21 Patrick Leung , Catherine S. Forbes , Gael M. Martin , Brendan McCabe

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.…

机器学习 · 统计学 2018-06-15 Karol Gellert , Erik Schlögl

Particle filters for data assimilation in nonlinear problems use "particles" (replicas of the underlying system) to generate a sequence of probability density functions (pdfs) through a Bayesian process. This can be expensive because a…

数值分析 · 数学 2009-05-15 Alexandre J. Chorin , Xuemin Tu

Particle filters (PFs) form a class of Monte Carlo algorithms that propagate over time a set of $N\geq 1$ particles which can be used to estimate, in an online fashion, the sequence of filtering distributions $(\hat{\eta}_t)_{t\geq 1}$…

统计理论 · 数学 2026-01-28 Mathieu Gerber

Adaptive filters are at the core of many signal processing applications, ranging from acoustic noise supression to echo cancelation, array beamforming, channel equalization, to more recent sensor network applications in surveillance, target…

系统与控制 · 电气工程与系统科学 2021-12-24 Jerónimo Arenas-García , Luis A. Azpicueta-Ruiz , Magno T. M. Silva , Vitor H. Nascimento , Ali H. Sayed

Implicit particle filters for data assimilation generate high-probability samples by representing each particle location as a separate function of a common reference variable. This representation requires that a certain underdetermined…

数值分析 · 数学 2015-05-27 Matthias Morzfeld , Xuemin Tu , Ethan Atkins , Alexandre J. Chorin

In many iterative optimization methods, fixed-point theory enables the analysis of the convergence rate via the contraction factor associated with the linear approximation of the fixed-point operator. While this factor characterizes the…

系统与控制 · 电气工程与系统科学 2022-06-22 Trung Vu , Raviv Raich

Particle filters contain the promise of fully nonlinear data assimilation. They have been applied in numerous science areas, but their application to the geosciences has been limited due to their inefficiency in high-dimensional systems in…

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…

统计计算 · 统计学 2014-08-15 Pete Bunch , Simon Godsill

Particle probability hypothesis density filtering has become a promising means for multi-target tracking due to its capability of handling an unknown and time-varying number of targets in non-linear non-Gaussian system. However, its…

统计计算 · 统计学 2015-03-13 Wang Junjie , Zhao Lingling , Su Xiaohong , Ma Peijun

Particle filtering is a powerful tool for target tracking. When the budget for observations is restricted, it is necessary to reduce the measurements to a limited amount of samples carefully selected. A discrete stochastic nonlinear…

系统与控制 · 电气工程与系统科学 2020-05-19 Antoine Aspeel , Amaury Gouverneur , Raphaël M. Jungers , Benoît Macq

Low-rank matrix completion concerns the problem of estimating unobserved entries in a matrix using a sparse set of observed entries. We consider the non-uniform setting where the observed entries are sampled with highly varying…

机器学习 · 统计学 2024-03-04 Xumei Xi , Christina Lee Yu , Yudong Chen