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This paper investigates an approximation scheme of the optimal nonlinear Bayesian filter based on the Gaussian mixture representation of the state probability distribution function. The resulting filter is similar to the particle filter,…

数据分析、统计与概率 · 物理学 2015-05-30 Ibrahim Hoteit , Xiaodong Luo , Dinh-Tuan Pham

In this paper, we establish the connections of the fundamental limitations in feedback communication, estimation, and feedback control over Gaussian channels, from a unifying perspective for information, estimation, and control. The optimal…

信息论 · 计算机科学 2009-10-05 Jialing Liu , Nicola Elia

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

Rapid advances in designing cognitive and counter-adversarial systems have motivated the development of inverse Bayesian filters. In this setting, a cognitive 'adversary' tracks its target of interest via a stochastic framework such as a…

最优化与控制 · 数学 2024-05-02 Himali Singh , Kumar Vijay Mishra , Arpan Chattopadhyay

This paper introduces two new algorithms to accurately estimate the process noise covariance of a discrete-time Kalman filter online for robust orbit determination in the presence of dynamics model uncertainties. Common orbit determination…

信号处理 · 电气工程与系统科学 2021-05-17 Nathan Stacey , Simone D'Amico

Uncertain parameters of state-space models have always been a considerable problem. Consider Kalman filter (CKF) and desensitized Kalman filter (DKF) are two methods to solve this problem. Based on the sensitivity matrix respected to the…

信息论 · 计算机科学 2015-03-31 Taishan Lou

Recent advances in counter-adversarial systems have garnered significant research attention to inverse filtering from a Bayesian perspective. For example, interest in estimating the adversary's Kalman filter tracked estimate with the…

最优化与控制 · 数学 2023-08-15 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

Parameter estimation has a high importance in the geosciences. The ensemble Kalman filter (EnKF) allows parameter estimation for large, time-dependent systems. For large systems, the EnKF is applied using small ensembles, which may lead to…

应用统计 · 统计学 2021-08-05 Johannes Keller , Harrie-Jan Hendricks Franssen , Wolfgang Nowak

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

Because of physical assumptions and numerical approximations, low-order models are affected by uncertainties in the state and parameters, and by model biases. Model biases, also known as model errors or systematic errors, are difficult to…

统计方法学 · 统计学 2024-10-10 Andrea Nóvoa , Alberto Racca , Luca Magri

In this paper we present a new Kalman filter extension for state update called Partitioned Update Kalman Filter (PUKF). PUKF updates the state using multidimensional measurements in parts. PUKF evaluates the nonlinearity of the measurement…

最优化与控制 · 数学 2016-03-15 Matti Raitoharju , Robert Piché , Juha Ala-Luhtala , Simo Ali-Löytty

This paper focuses on the state estimation problem in distributed sensor networks, where intermittent packet dropouts, corrupted observations, and unknown noise covariances coexist. To tackle this challenge, we formulate the joint…

机器学习 · 统计学 2026-04-06 Peng Sun , Ruoyu Wang , Xue Luo

The Gaussian process state-space models (GPSSMs) represent a versatile class of data-driven nonlinear dynamical system models. However, the presence of numerous latent variables in GPSSM incurs unresolved issues for existing variational…

机器学习 · 计算机科学 2024-07-23 Zhidi Lin , Yiyong Sun , Feng Yin , Alexandre Hoang Thiéry

The ensemble Kalman filter (EnKF) is a Monte Carlo based implementation of the Kalman filter (KF) for extremely high-dimensional, possibly nonlinear and non-Gaussian state estimation problems. Its ability to handle state dimensions in the…

统计方法学 · 统计学 2018-02-12 Michael Roth , Gustaf Hendeby , Carsten Fritsche , Fredrik Gustafsson

This paper addresses state of charge (SOC) estimation for lithium iron phosphate (LFP) batteries, where the relatively flat open-circuit voltage (OCV-SOC) characteristic reduces observability. A residual bias compensation dual extended…

系统与控制 · 电气工程与系统科学 2025-10-28 Feng Guo , Luis D. Couto , Khiem Trad , Guangdi Hu , Mohammadhosein Safari

Kalman Filters (KF) are fundamental to real-time state estimation applications, including radar-based tracking systems used in modern driver assistance and safety technologies. In a linear dynamical system with Gaussian noise distributions…

机器人学 · 计算机科学 2024-11-27 Arian Mehrfard , Bharanidhar Duraisamy , Stefan Haag , Florian Geiss

This paper is concerned with the linear/nonlinear Kalman-like filtering problem under binary sensors. Since innovation represents new information in the sensor measurement and serves to correct the prediction for the Kalman-like filter…

系统与控制 · 电气工程与系统科学 2021-10-28 Zhongyao Hu , Bo Chen , Yuchen Zhang , Li Yu

The Kalman Filter (KF) parameters are traditionally determined by noise estimation, since under the KF assumptions, the state prediction errors are minimized when the parameters correspond to the noise covariance. However, noise estimation…

机器学习 · 计算机科学 2022-07-04 Ido Greenberg , Shie Mannor , Netanel Yannay

In this letter, we propose an Attention-Based Neural-Augmented Kalman Filter (AttenNKF) for state estimation in legged robots. Foot slip is a major source of estimation error: when slip occurs, kinematic measurements violate the no-slip…

机器人学 · 计算机科学 2026-05-05 Seokju Lee , Kyung-Soo Kim

Kalman filter-based algorithms are fundamental for mobile robots, as they provide a computationally efficient solution to the challenging problem of state estimation. However, they rely on two main assumptions that are difficult to satisfy…