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Geometry of the state space is known to play a crucial role in many applications of Kalman filters, especially robotics and motion tracking. The Lie group-centric approach is currently very common, although a Riemannian approach has also…

最优化与控制 · 数学 2025-06-03 Mateusz Baran , Ronny Bergmann

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

This paper is considered with joint estimation of state and time-varying noise covariance matrices in non-linear stochastic state space models. We present a variational Bayes and Gaussian filtering based algorithm for efficient computation…

统计方法学 · 统计学 2013-02-05 Simo Särkkä Jouni Hartikainen

Latent force models (LFM) are principled approaches to incorporating solutions to differential equations within non-parametric inference methods. Unfortunately, the development and application of LFMs can be inhibited by their computational…

机器学习 · 统计学 2014-05-30 Steven Reece , Stephen Roberts , Siddhartha Ghosh , Alex Rogers , Nicholas Jennings

The state-space model and the Kalman filter provide us with unified and computationaly efficient procedure for computing the log-likelihood of the diverse type of time series models. This paper presents an algorithm for computing the…

统计方法学 · 统计学 2022-09-27 Genshiro Kitagawa

To obtain the accurate transient states of the big scale natural gas pipeline networks under the bad data and non-zero mean noises conditions, a robust Kalman filter-based dynamic state estimation method is proposed using the linearized gas…

信号处理 · 电气工程与系统科学 2021-03-10 Liang Chen , Peng Jin , Jing Yang , Yang Li , Yi Song

This paper presents a novel adaptive fading cubature Kalman filter (AFCKF) based on double transitive factors. The developed adaptive algorithm is explained in two stages; stage (i) a single transitive factor is used to update the predicted…

系统与控制 · 电气工程与系统科学 2021-08-26 Mundla Narasimhappa

In this paper, we consider the task of designing a Kalman Filter (KF) for an unknown and partially observed autonomous linear time invariant system driven by process and sensor noise. To do so, we propose studying the following two step…

系统与控制 · 电气工程与系统科学 2020-05-14 Anastasios Tsiamis , Nikolai Matni , George J. Pappas

Precise measurement of frequency sensitivity coefficients (FSCs) of some physical effects contributing to uncertainty is an important work in type-B uncertainty (u_B) evaluation of atomic frequency standards. We proposed a method based on…

量子物理 · 物理学 2019-09-11 Qian Wang , Ning Zhang , Rong Wei , Yuzhu Wang

Achieving highly accurate dynamic or simulator models that are close to the real robot can facilitate model-based controls (e.g., model predictive control or linear-quadradic regulators), model-based trajectory planning (e.g., trajectory…

机器人学 · 计算机科学 2023-05-09 Alexander Schperberg , Yusuke Tanaka , Feng Xu , Marcel Menner , Dennis Hong

We introduce a noise-aware extension to the parametric maximum-likelihood framework for component separation by modeling correlated $1/f^\alpha$ noise as a harmonic-space power law. This approach addresses a key limitation of existing…

宇宙学与河外天体物理 · 物理学 2025-11-07 Goureesankar Sathyanathan , Josquin Errard , Soumen Basak

The large number of possible structures of metal-organic frameworks (MOFs) and their limitless potential applications has motivated molecular modelers and researchers to develop methods and models to efficiently assess MOF performance. Some…

材料科学 · 物理学 2021-10-04 Krishnendu Mukherjee , Alexander W. Dowling , Yamil Colón

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

Hollow-core fibers offer superior loss and latency characteristics compared to solid-core alternatives, yet the geometric complexity of nested antiresonance nodeless fibers (NANFs) makes traditional optimization computationally prohibitive.…

机器学习 · 计算机科学 2026-03-17 Rania A. Eltaieb , Sophie LaRochelle , Leslie A. Rusch

In this paper is proposed a novel incremental iterative Gauss-Newton-Markov-Kalman filter method for state estimation of dynamic models given noisy measurements. The mathematical formulation of the proposed filter is based on the…

最优化与控制 · 数学 2019-09-17 Bojana Rosic

The input-parameter-state estimation capabilities of a novel unscented Kalman filter is examined herein on both linear and nonlinear systems. The unknown input is estimated in two stages within each time step. Firstly, the predicted dynamic…

信号处理 · 电气工程与系统科学 2025-11-05 Marios Impraimakis , Andrew W. Smyth

We construct the equation of state (EOS) of dense matter covering a wide range of temperature, proton fraction, and density for the use of core-collapse supernova simulations. The study is based on the relativistic mean-field (RMF) theory,…

高能天体物理现象 · 物理学 2012-03-26 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi

The ensemble Kalman filter (EnKF) is widely used for nonlinear and high-dimensional state estimation because it replaces complex covariance propagation with simple ensemble statistics. However, conventional EnKF implementations can become…

系统与控制 · 电气工程与系统科学 2026-04-21 Shida Jiang , Shengyu Tao , Zihe Liu , Scott Moura

Predicting the behavior of a dynamical system from noisy observations of its past outputs is a classical problem encountered across engineering and science. For linear systems with Gaussian inputs, the Kalman filter -- the best linear…

机器学习 · 计算机科学 2026-03-10 Usman Akram , Haris Vikalo

In the detection of gravitational waves in space, during the science phase of the mission, the point ahead angle mechanism (PAAM) serves to steer a laser beam to compensate for the angle generated by the relative motion of the two…

天体物理仪器与方法 · 物理学 2024-11-27 Jinke Yang , Yong Xie , Wenlin Tang , Xindong Liang , Liang Zhang , Zhao Cui , Xue Wang , Haojie Li , Jianjun Jia , Yun Kau Lau
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