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In this work we get insight into the impact of reduced density matrix functionals on the quality of removal/addition energies obtained using the Extended Koopmans' Theorem (EKT). Within reduced density matrix functional theory (RDMFT) the…

强关联电子 · 物理学 2022-12-26 S. Di Sabatino , J. Koskelo , J. A. Berger , P. Romaniello

Nonlinear extensions of the Kalman filter (KF), such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are indispensable for state estimation in complex dynamical systems, yet the conditions for a nonlinear KF to…

系统与控制 · 电气工程与系统科学 2026-03-25 Shida Jiang , Jaewoong Lee , Shengyu Tao , Scott Moura

The Ensemble Kalman Filter (EnKF) belongs to the class of iterative particle filtering methods and can be used for solving control--to--observable inverse problems. In this context, the EnKF is known as Ensemble Kalman Inversion (EKI). In…

数值分析 · 数学 2022-02-17 Dieter Armbruster , Michael Herty , Giuseppe Visconti

We analyze the gravitational wave signals with a model-independent time-frequency analysis, which is improved from the Hilbert-Huang transform (HHT) and optimized for characterizing the frequency variability on the time-frequency map.…

高能天体物理现象 · 物理学 2022-08-31 Chin-Ping Hu , Lupin Chun-Che Lin , Kuo-Chuan Pan , Kwan-Lok Li , Chien-Chang Yen , Albert K. H. Kong , C. Y. Hui

We discuss properties of hierarchical Bayesian inversion through the ensemble Kalman filter (EnKF). Our focus will be primarily on deriving continuous-time limits for hierarchical inversion in the linear case. An important characteristic of…

数值分析 · 数学 2018-01-04 Neil K. Chada

A novel dynamic mode decomposition (DMD) method based on a Kalman filter is proposed. This paper explains the fast algorithm of the proposed Kalman filter DMD (KFDMD) in combination with truncated proper orthogonal decomposition for…

流体动力学 · 物理学 2018-11-09 Taku Nonomura , Hisaichi Shibata , Ryoji Takaki

In literature, Extended Object Tracking (EOT) algorithms developed for autonomous driving predominantly provide obstacles state estimation in cartesian coordinates in the Vehicle Reference Frame. However, in many scenarios, state…

Data-driven models of dynamical systems require extensive amounts of training data. For many practical applications, gathering sufficient data is not feasible due to cost or safety concerns. This work uses the Subset Extended Kalman Filter…

机器学习 · 计算机科学 2026-03-04 Joshua E. Hammond , Tyler A. Soderstrom , Brian A. Korgel , Michael Baldea

Odometry estimation is crucial for every autonomous system requiring navigation in an unknown environment. In modern mobile robots, 3D LiDAR-inertial systems are often used for this task. By fusing LiDAR scans and IMU measurements, these…

机器人学 · 计算机科学 2024-05-09 Yibin Wu , Tiziano Guadagnino , Louis Wiesmann , Lasse Klingbeil , Cyrill Stachniss , Heiner Kuhlmann

The paper proposes a new recursive filter for non-linear systems that inherently computes a valid bound on the mean square estimation error. The proposed filter, bound based extended Kalman, (BEKF) is in the form of an extended Kalman…

最优化与控制 · 数学 2014-10-02 Gyorgy Hexner , Haim Weiss

Dynamic mode decomposition (DMD) is a data-driven method of extracting spatial-temporal coherent modes from complex systems and providing an equation-free architecture to model and predict systems. However, in practical applications, the…

系统与控制 · 电气工程与系统科学 2024-10-07 Ningxin Liu , Shuigen Liu , Xin T. Tong , Lijian Jiang

In theories with extended scalar sectors the lightest new scalar degree of freedom might be accessible at colliders. Going beyond simplified models, such a theory can be described in a gauge-invariant and agnostic way via an EFT with a…

高能物理 - 唯象学 · 物理学 2025-12-15 Giorgio Arcadi , David Cabo-Almeida , Florian Goertz , Maya Hager

Switching Kalman Filters (SKF) are well known for their ability to solve the piecewise linear dynamic system estimation problem using the standard Kalman Filter (KF). Practical SKFs are heuristic, approximate filters that are not guaranteed…

信号处理 · 电气工程与系统科学 2022-01-31 Parisa Karimi , Zhizhen Zhao , Mark Butala , Farzad Kamalabadi

In GNSS-denied underwater environments, individual unmanned underwater vehicles (UUVs) suffer from unbounded dead-reckoning drift, making collaborative navigation crucial for accurate state estimation. However, the severe communication…

机器人学 · 计算机科学 2026-04-06 Shuyue Li , Miguel López-Benítez , Eng Gee Lim , Fei Ma , Qian Dong , Mengze Cao , Limin Yu , Xiaohui Qin

We present an alternative implementation of the Kalman filter employed for track fitting within the LHCb experiment. It uses simple parametrizations for the extrapolation of particle trajectories in the field of the LHCb dipole magnet and…

仪器与探测器 · 物理学 2021-05-18 Pierre Billoir , Michel De Cian , Paul André Günther , Simon Stemmle

The kinematics of many control systems, especially in the robotics field, naturally live on smooth manifolds. Most classical state-estimation algorithms, including the extended Kalman filter, are posed on Euclidean space. Although any…

系统与控制 · 电气工程与系统科学 2023-09-13 Yixiao Ge , Pieter van Goor , Robert Mahony

Accurate estimation of noise parameters is critical for optimal filter performance, especially in systems where true noise parameter values are unknown or time-varying. This article presents a quaternion left-invariant extended Kalman…

信号处理 · 电气工程与系统科学 2025-12-09 Yash Pandey , Rahul Bhattacharyya , Yatindra Nath Singh

The extended Kalman filter (EKF) is a cornerstone of nonlinear state estimation, yet its performance is fundamentally limited by noise-model mismatch and linearization errors. We develop a residual-aware distributionally robust EKF that…

系统与控制 · 电气工程与系统科学 2026-04-06 Minhyuk Jang , Jungjin Lee , Astghik Hakobyan , Naira Hovakimyan , Insoon Yang

The Kalman filter (KF) and the extended Kalman filter (EKF) are well established techniques for state estimation. However, the choice of the filter tuning parameters still poses a major challenge for the engineers [1]. In the present work,…

适应与自组织系统 · 物理学 2013-02-26 Manika Saha , Bhaswati Goswami , Ratna Ghosh

The increasing severity of climate change necessitates an urgent transition to renewable energy sources, making the large-scale adoption of wind energy crucial for mitigating environmental impact. However, the inherent uncertainty of wind…

机器学习 · 计算机科学 2024-10-18 Chongyang Wan , Shunbo Lei , Yuan Luo