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相关论文: Inverse Cubature and Quadrature Kalman filters

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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

Counter-adversarial system design problems have lately motivated the development of inverse Bayesian filters. For example, inverse Kalman filter (I-KF) has been recently formulated to estimate the adversary's Kalman-filter-tracked estimates…

最优化与控制 · 数学 2023-08-11 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

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

In cognitive systems, recent emphasis has been placed on studying the cognitive processes of the subject whose behavior was the primary focus of the system's cognitive response. This approach, known as inverse cognition, arises in…

最优化与控制 · 数学 2025-04-01 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

In counter-adversarial systems, to infer the strategy of an intelligent adversarial agent, the defender agent needs to cognitively sense the information that the adversary has gathered about the latter. Prior works on the problem employ…

最优化与控制 · 数学 2023-03-27 Himali Singh , Kumar Vijay Mishra , Arpan Chattopadhyay

Kalman-type filtering techniques including cubature Kalman filter (CKF) does not work well in non-Gaussian environments, especially in the presence of outliers. To solve this problem, Huber's M-estimation based robust CKF (RCKF) is proposed…

系统与控制 · 计算机科学 2020-03-06 Yang Li , Jing Li , Junjian Qi , Liang Chen

The traditional GNSS-aided inertial navigation system (INS) usually exploits the extended Kalman filter (EKF) for state estimation, and the initial attitude accuracy is key to the filtering performance. To spare the reliance on the initial…

系统与控制 · 电气工程与系统科学 2023-11-16 Wei Ouyang , Yutian Wang , Yuanxin Wu

Cubature Kalman Filter (CKF) has good performance when handling nonlinear dynamic state estimations. However, it cannot work well in non-Gaussian noise and bad data environment due to the lack of auto-adaptive ability to measure noise…

系统与控制 · 电气工程与系统科学 2019-10-08 Yang Li , Jing Li , Liang Chen , Junjian Qi , Guoqing Li

The Kalman filter (KF) provides optimal recursive state estimates for linear-Gaussian systems and underpins applications in control, signal processing, and others. However, it is vulnerable to outliers in the measurements and process noise.…

系统与控制 · 电气工程与系统科学 2025-07-02 Alan Yang , Stephen Boyd

The cubature Kalman filter (CKF), while theoretically rigorous for nonlinear estimation, often suffers performance degradation due to model-environment mismatches in practice. To address this limitation, we propose CKFNet-a hybrid…

信号处理 · 电气工程与系统科学 2025-08-14 Jinhui Hu , Haiquan Zhao , Yi Peng

The Kalman filter (KF) is an optimal linear state estimator for linear systems, and numerous extensions, including the extended Kalman filter (EKF), unscented Kalman filter (UKF), and cubature Kalman filter (CKF), have been developed for…

系统与控制 · 电气工程与系统科学 2026-04-07 Shida Jiang , Junzhe Shi , Scott Moura

It is known that the conventional estimators such as extended Kalman filter (EKF) and unscented Kalman filter (UKF) may provide favorable performance; However, they may not guarantee the robustness against model uncertainty and cyber…

系统与控制 · 电气工程与系统科学 2025-03-28 Tohid Kargar Tasooji , Sakineh Khodadadi

Inertial Navigation Systems (INS) are a key technology for autonomous vehicles applications. Recent advances in estimation and filter design for the INS problem have exploited geometry and symmetry to overcome limitations of the classical…

机器人学 · 计算机科学 2022-09-27 Alessandro Fornasier , Yonhon Ng , Robert Mahony , Stephan Weiss

We derive symmetry preserving invariant extended Kalman filters (IEKF) on matrix Lie groups. These Kalman filters have an advantage over conventional extended Kalman filters as the error dynamics for such filters are independent of the…

最优化与控制 · 数学 2020-01-01 Karmvir Singh Phogat , Dong Eui Chang

The widely-used Extended Kalman Filter (EKF) provides a straightforward recipe to estimate the mean and covariance of the state given all past measurements in a causal and recursive fashion. For a wide variety of applications, the EKF is…

机器人学 · 计算机科学 2023-03-28 Stephanie Tsuei , Stefano Soatto , Paulo Tabuada , Mark B. Milam

This letter explores covariance matching-based adaptive robust cubature Kalman filter (CMRACKF). In this method, the innovation sequence is used to determine the covariance matrix of measurement noise that can overcome the limitation of…

系统与控制 · 电气工程与系统科学 2021-06-22 Mundla Narasimhappa , Sesham Srinu

Among the class of nonlinear particle filtering methods, the Ensemble Kalman Filter (EnKF) has gained recent attention for its use in solving inverse problems. We review the original method and discuss recent developments in particular in…

数值分析 · 数学 2022-04-06 Michael Herty , Elisa Iacomini , Giuseppe Visconti

This paper investigates the problem of inertial navigation system (INS) filter design through the lens of symmetry. The extended Kalman filter (EKF) and its variants have been the staple of INS filtering for 50 years. However, recent…

机器人学 · 计算机科学 2025-06-05 Alessandro Fornasier , Yixiao Ge , Pieter van Goor , Robert Mahony , Stephan Weiss

Attitude and Heading Reference Systems (AHRSs) are broadly applied wherever reliable orientation and motion sensing is required. In this paper, we present an improved Cubature Kalman Filter (CKF) with lower computational cost while…

系统与控制 · 电气工程与系统科学 2026-05-21 Shunsei Yamagishi , Lei Jing

We study the inverse medium scattering problem to reconstruct the unknown inhomogeneous medium from the far-field patterns of scattered waves. The inverse scattering problem is generally ill-posed and nonlinear, and the iterative…

偏微分方程分析 · 数学 2022-08-31 Takashi Furuya , Roland Potthast
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