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This paper studies the optimal state estimation for a dynamic system, whose transfer function can be nonlinear and the input noise can be of arbitrary distribution. Our algorithm differs from the conventional extended Kalman filter (EKF)…

信号处理 · 电气工程与系统科学 2022-04-22 Xin Liang , Yi Jiang

Bayesian estimation approaches, which are capable of combining the information of experimental data from different likelihood functions to achieve high precisions, have been widely used in phase estimation via introducing a controllable…

量子物理 · 物理学 2021-07-02 Yuxiang Qiu , Min Zhuang , Jiahao Huang , Chaohong Lee

Particle Marginal Metropolis-Hastings (PMMH) is a general approach to Bayesian inference when the likelihood is intractable, but can be estimated unbiasedly. Our article develops an efficient PMMH method that scales up better to higher…

统计计算 · 统计学 2023-05-10 David Gunawan , Pratiti Chatterjee , Robert Kohn

We study an approximation method for partially observed Markov decision processes (POMDPs) with continuous spaces. Belief MDP reduction, which has been the standard approach to study POMDPs requires rigorous approximation methods for…

最优化与控制 · 数学 2025-01-20 Ali Devran Kara , Erhan Bayraktar , Serdar Yuksel

This paper develops a new filtering approach for state estimation in polynomial systems corrupted by arbitrary noise, which commonly arise in robotics. We first consider a batch setup where we perform state estimation using all data…

机器人学 · 计算机科学 2024-03-11 Sangli Teng , Harry Zhang , David Jin , Ashkan Jasour , Maani Ghaffari , Luca Carlone

The ensemble Kalman filter (EnKF) is a data assimilation technique that uses an ensemble of models, updated with data, to track the time evolution of a usually non-linear system. It does so by using an empirical approximation to the…

应用统计 · 统计学 2021-03-12 Elizabeth Hou , Earl Lawrence , Alfred O. Hero

In this paper, we consider a dynamic linear system in state-space form where the observation equation depends linearly on a set of parameters. We address the problem of how to dynamically calculate these parameters in order to minimize the…

信息论 · 计算机科学 2013-04-02 Feng Jiang , Jie Chen , A. Lee Swindlehurst

There is a need to improve the capability of the adaptive filtering algorithm against Gaussian or multiple types of non-Gaussian noises, time-varying system, and systems with low SNR. In this paper, we propose an optimized least mean…

信号处理 · 电气工程与系统科学 2019-08-23 Sihai Guan , Chun Meng , Bharat Biswal

We present a data-efficient reinforcement learning algorithm resistant to observation noise. Our method extends the highly data-efficient PILCO algorithm (Deisenroth & Rasmussen, 2011) into partially observed Markov decision processes…

机器学习 · 统计学 2016-02-09 Rowan McAllister , Carl Edward Rasmussen

State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

数值分析 · 数学 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

In this paper, we focus on batch state estimation for linear systems. This problem is important in applications such as environmental field estimation, robotic navigation, and target tracking. Its difficulty lies on that limited operational…

最优化与控制 · 数学 2016-09-27 Vasileios Tzoumas , Ali Jadbabaie , George J. Pappas

Partially observable Markov decision processes (POMDPs) provide an elegant mathematical framework for modeling complex decision and planning problems in stochastic domains in which states of the system are observable only indirectly, via a…

人工智能 · 计算机科学 2011-06-02 M. Hauskrecht

This work develops novel strategies for optimal planning with semantic observations using continuous state partially observable markov decision processes (CPOMDPs). Two major innovations are presented in relation to Gaussian mixture (GM)…

人工智能 · 计算机科学 2019-08-09 Luke Burks , Ian Loefgren , Nisar Ahmed

Particle filters (PFs) are powerful sampling-based inference/learning algorithms for dynamic Bayesian networks (DBNs). They allow us to treat, in a principled way, any type of probability distribution, nonlinearity and non-stationarity.…

机器学习 · 计算机科学 2013-01-18 Arnaud Doucet , Nando de Freitas , Kevin Murphy , Stuart Russell

Partially Observable Markov Decision Process (POMDP) provides a principled and generic framework to model real world sequential decision making processes but yet remains unsolved, especially for high dimensional continuous space and unknown…

机器学习 · 计算机科学 2022-05-24 Xiaoyu Chen , Yao Mu , Ping Luo , Shengbo Li , Jianyu Chen

In this paper we consider the filtering problem associated to partially observed McKean-Vlasov stochastic differential equations (SDEs). The model consists of data that are observed at regular and discrete times and the objective is to…

数值分析 · 数学 2024-04-26 Elsiddig Awadelkarim , Ajay Jasra

Nonlinear stochastic differential equation models with unobservable variables are now widely used in the analysis of PK/PD data. The unobservable variables are often estimated with extended Kalman filter (EKF), and the unknown…

应用统计 · 统计学 2012-03-06 Guanghui Huang , Jianping Wan , Hui Chen

Kalman filtering has been traditionally applied in three application areas of estimation, state estimation, parameter estimation (a.k.a. model updating), and dual estimation. However, Kalman filter is often not sufficient when experimenting…

系统与控制 · 电气工程与系统科学 2019-11-11 Johnny Condori , Amin Maghareh , Shirley Dyke

In high sample-rate applications of the least-mean-square (LMS) adaptive filtering algorithm, pipelining or/and block processing is required. As opposed to earlier work, pipelining and block processing are jointly considered to obtain what…

信号处理 · 电气工程与系统科学 2023-06-22 Mohd. Tasleem Khan , Oscar Gustafsson

Despite the cheap availability of computing resources enabling faster Monte Carlo simulations, the potential benefits of particle filtering in revealing accurate statistical information on the imprecisely known model parameters or modeling…

统计方法学 · 统计学 2014-02-07 Saikat Sarkar , Debasish Roy