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This paper introduces a novel state estimation framework for robots using differentiable ensemble Kalman filters (DEnKF). DEnKF is a reformulation of the traditional ensemble Kalman filter that employs stochastic neural networks to model…

机器人学 · 计算机科学 2023-08-22 Xiao Liu , Geoffrey Clark , Joseph Campbell , Yifan Zhou , Heni Ben Amor

We present the Koopman-Inspired Learned Observations Extended Kalman Filter (KILO-EKF), which combines a standard EKF prediction step with a correction step based on a Koopman-inspired measurement model learned from data. By lifting…

机器人学 · 计算机科学 2026-03-04 Zi Cong Guo , James R. Forbes , Timothy D. Barfoot

In Wang & Pan (J. Fluid Mech., vol. 918, A19, 2021), the authors developed the first ensemble-based data assimilation (DA) capability for the reconstruction and forecast of ocean surface waves, namely the EnKF-HOS method coupling an…

流体动力学 · 物理学 2022-10-12 Guangyao Wang , Jinfeng Zhang , Yuxiang Ma , Qinghe Zhang , Zhilin Li , Yulin Pan

The Kalman Filter (KF) is a powerful mathematical tool widely used for state estimation in various domains, including Simultaneous Localization and Mapping (SLAM). This paper presents an in-depth introduction to the Kalman Filter and…

机器人学 · 计算机科学 2024-07-01 Gyubeom Im

We explore the potential of three-dimensional data assimilation for assimilating sparsely-distributed 2-metre temperature observations across the coupled atmosphere-land interface into the soil moisture. Using idealised twin experiments…

大气与海洋物理 · 物理学 2022-09-29 Tobias Finn , Gernot Geppert , Felix Ament

The Kalman filter is a fundamental tool for state estimation in dynamical systems. While originally developed for linear Gaussian settings, it has been extended to nonlinear problems through approaches such as the extended and unscented…

最优化与控制 · 数学 2025-09-10 Yuan Wu , Sicheng He

The Kalman filter (KF) and its variants are among the most celebrated algorithms in signal processing. These methods are used for state estimation of dynamic systems by relying on mathematical representations in the form of simple…

A square root approach is considered for the problem of accounting for model noise in the forecast step of the ensemble Kalman filter (EnKF) and related algorithms. The primary aim is to replace the method of simulated, pseudo-random,…

数据分析、统计与概率 · 物理学 2015-07-23 Patrick N. Raanes , Alberto Carrassi , Laurent Bertino

The extended Kalman filter (EKF) is a widely adopted method for sensor fusion in navigation applications. A crucial aspect of the EKF is the online determination of the process noise covariance matrix reflecting the model uncertainty. While…

机器人学 · 计算机科学 2025-03-11 Nadav Cohen , Itzik Klein

Data assimilation (DA) estimates a dynamical system's state from noisy observations. Recent generative models like the ensemble score filter (EnSF) improve DA in high-dimensional nonlinear settings but are computationally expensive. We…

机器学习 · 统计学 2025-09-30 Taos Transue , Bohan Chen , So Takao , Bao Wang

Flood simulation and forecast capability have been greatly improved thanks to advances in data assimilation (DA) strategies incorporating various types of observations; many are derived from spatial Earth Observation. This paper focuses on…

图像与视频处理 · 电气工程与系统科学 2023-11-30 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Ehouarn Simon , Raquel Rodriguez Suquet , Santiago Peña Luque

Currently, more and more machine learning (ML) surrogates are being developed for computationally expensive physical models. In this work we investigate the use of a Multi-Fidelity Ensemble Kalman Filter (MF-EnKF) in which the low-fidelity…

机器学习 · 计算机科学 2025-12-16 Jeffrey van der Voort , Martin Verlaan , Hanne Kekkonen

The iterative ensemble Kalman filter (IEnKF) is widely used in inverse problems to estimate system parameters from limited observations. However, the IEnKF, when applied to nonlinear systems, can be plagued by poor convergence. Here we…

最优化与控制 · 数学 2019-10-11 Jiacheng Wu , Jian-Xun Wang , Shawn C. Shadden

The weather and climate domains are undergoing a significant transformation thanks to advances in AI-based foundation models such as FourCastNet, GraphCast, ClimaX and Pangu-Weather. While these models show considerable potential, they are…

机器学习 · 计算机科学 2024-07-18 Junqi Yin , Siming Liang , Siyan Liu , Feng Bao , Hristo G. Chipilski , Dan Lu , Guannan Zhang

Extended Kalman Filter (EKF) has been a popular approach to localization a mobile robot. However, the performance of the EKF and the quality of the estimation depends on the correct a priori knowledge of process and measurement noise…

其他计算机科学 · 计算机科学 2010-04-20 Ramazan Havangi , Mohammad Ali Nekoui , Mohammad Teshnehlab

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…

流体动力学 · 物理学 2025-11-13 Sarp Er , Marcello Meldi

The phase-field approach to brittle fracture provides a continuum framework for modeling crack initiation and propagation without explicit representation of discrete crack surfaces, provided the spatial discretization is fine enough to…

计算工程、金融与科学 · 计算机科学 2026-03-11 Lucas Hermann , Ralf Jänicke , Knut Andreas Meyer , Ulrich Römer

It is a grand challenge to find a feasible weather modification method to mitigate the impact of extreme weather events such as tropical cyclones. Previous works have proposed potentially effective actuators and assessed their capabilities…

应用统计 · 统计学 2024-05-15 Yohei Sawada

Robust integration of physical knowledge and data is key to improve computational simulations, such as Earth system models. Data assimilation is crucial for achieving this goal because it provides a systematic framework to calibrate model…

计算机视觉与模式识别 · 计算机科学 2024-06-14 Yongquan Qu , Juan Nathaniel , Shuolin Li , Pierre Gentine

This research paper delves into the Linear Kalman Filter (LKF), highlighting its importance in merging data from multiple sensors. The Kalman Filter is known for its recursive solution to the linear filtering problem in discrete data,…

计算机与社会 · 计算机科学 2024-07-19 Parsa Veysi , Mohsen Adeli , Nayerosadat Peirov Naziri , Ehsan Adeli