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The frequency-domain Kalman filter (FKF) has been utilized in many audio signal processing applications due to its fast convergence speed and robustness. However, the performance of the FKF in under-modeling situations has not been…

Signal Processing · Electrical Eng. & Systems 2019-02-20 Wenzhi Fan , Kai Chen , Jing Lu , Jiancheng Tao

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)…

Signal Processing · Electrical Eng. & Systems 2022-04-22 Xin Liang , Yi Jiang

Kalman Filter (KF) is widely used in various domains to perform sequential learning or variable estimation. In the context of autonomous vehicles, KF constitutes the core component of many Advanced Driver Assistance Systems (ADAS), such as…

Robotics · Computer Science 2020-12-17 Yuzhe Ma , Jon Sharp , Ruizhe Wang , Earlence Fernandes , Xiaojin Zhu

This paper presents the design and implementation of a Right Invariant Extended Kalman Filter (RIEKF) for estimating the states of the kinematic base of the Surena V humanoid robot. The state representation of the robot is defined on the…

Robotics · Computer Science 2024-01-08 Amirhosein Vedadi , Aghil Yousefi-Koma , Masoud Shariat-Panahi , Mahdi Nozari

The filtering distribution in hidden Markov models evolves according to the law of a mean-field model in state-observation space. The ensemble Kalman filter (EnKF) approximates this mean-field model with an ensemble of interacting…

Machine Learning · Statistics 2025-12-25 Eviatar Bach , Ricardo Baptista , Edoardo Calvello , Bohan Chen , Andrew Stuart

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…

Optimization and Control · Mathematics 2020-01-01 Karmvir Singh Phogat , Dong Eui Chang

Power system dynamic state estimation is essential to monitoring and controlling power system stability. Kalman filtering approaches are predominant in estimation of synchronous machine dynamic states (i.e. rotor angle and rotor speed).…

Systems and Control · Computer Science 2017-02-03 Shahrokh Akhlaghi , Ning Zhou

This paper presents a new optimal filter namely past observation-based extended Kalman filter for the problem of localization of Internet-based mobile robot in which the control input and the feedback measurement suffer from communication…

Robotics · Computer Science 2017-03-13 Manh Duong Phung , Thi Thanh Van Nguyen , Thuan Hoang Tran , Quang Vinh Tran

Robustness and adaptivity are two competing objectives in Kalman filters (KF). Robustness involves temporarily inflating prior estimates of noise covariances, while adaptivity updates prior beliefs by exploiting measurements. In practical…

Information Theory · Computer Science 2026-05-11 Shilei Li , Dawei Shi , Hao Yu , Ling Shi

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…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Shida Jiang , Junzhe Shi , Scott Moura

Recent studies in neuroscience suggest that Successor Representation (SR)-based models provide adaptation to changes in the goal locations or reward function faster than model-free algorithms, together with lower computational cost compared…

Neural and Evolutionary Computing · Computer Science 2022-04-04 Parvin Malekzadeh , Mohammad Salimibeni , Ming Hou , Arash Mohammadi , Konstantinos N. Plataniotis

This paper extends the ensemble Kalman filter (EnKF) for inverse problems to identify trending model coefficients. This is done by repeatedly inflating the ensemble while maintaining the mean of the particles. As a benchmark serves a…

Optimization and Control · Mathematics 2020-01-30 M. Schwenzer , G. Visconti , M. Ay , T. Bergs , M. Herty , D. Abel

Accurate localization is a critical requirement for most robotic tasks. The main body of existing work is focused on passive localization in which the motions of the robot are assumed given, abstracting from their influence on sampling…

Robotics · Computer Science 2022-10-17 Daniel Honerkamp , Suresh Guttikonda , Abhinav Valada

Robust state estimation for highly dynamic motion of legged robots remains challenging, especially in dynamic, contact-rich scenarios. Traditional approaches often rely on binary contact states that fail to capture the nuances of partial…

Motivated by the needs of online large-scale recommender systems, we specialize the decoupled extended Kalman filter (DEKF) to factorization models, including factorization machines, matrix and tensor factorization, and illustrate the…

Machine Learning · Statistics 2021-02-25 Carlos Alberto Gomez-Uribe , Brian Karrer

It is imperative to accelerate the training of neural network force field such as Deep Potential, which usually requires thousands of images based on first-principles calculation and a couple of days to generate an accurate potential energy…

Computational Physics · Physics 2022-12-15 Siyu Hu , Wentao Zhang , Qiuchen Sha , Feng Pan , Lin-Wang Wang , Weile Jia , Guangmng Tan , Tong Zhao

In this paper, stochastic optimal control problems in continuous time and space are considered. In recent years, such problems have received renewed attention from the lens of reinforcement learning (RL) which is also one of our motivation.…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Anant A. Joshi , Amirhossein Taghvaei , Prashant G. Mehta , Sean P. Meyn

A physics-based methodology for the determination of the localization function for the Ensemble Kalman Filter (EnKF) is proposed. The spatial features of such function evolve dynamically over time according to the relevant instantaneous…

Fluid Dynamics · Physics 2025-11-13 Sarp Er , Marcello Meldi

Precise positioning and navigation information has been increasingly important with the development of the consumer electronics market. Due to some deficits of Global Navigation Satellite System (GNSS), such as susceptible to interferences,…

Robotics · Computer Science 2024-07-10 Qijia Zhao , Shaolin Lü , Jianan Lou , Rong Zhang

This document describes standard approaches for filtering and estimation for quadrotors, created for the Udacity Flying Cars course. We assume previous knowledge of probability and some knowledge of linear algebra. We do not assume previous…

Robotics · Computer Science 2018-09-05 Stefanie Tellex , Andy Brown , Sergei Lupashin