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The analysis of high-dimensional dynamical systems generally requires the integration of simulation data with experimental measurements. Experimental data often has substantial amounts of measurement noise that compromises the ability to…

Numerical Analysis · Mathematics 2019-10-02 Samuel Rudy , Steven Brunton , J. Nathan Kutz

Inferring the state and unknown parameters of a network of coupled oscillators is of utmost importance. This task is made harder when only partial and noisy observations are available, which is a typical scenario in realistic…

Adaptation and Self-Organizing Systems · Physics 2025-04-07 Lauren D. Smith , Georg A. Gottwald

We consider the Ensemble Kalman Inversion which has been recently introduced as an efficient, gradient-free optimisation method to estimate unknown parameters in an inverse setting. In the case of large data sets, the Ensemble Kalman…

Numerical Analysis · Mathematics 2023-12-05 Matei Hanu , Jonas Latz , Claudia Schillings

Accurate knowledge of time-variation in meridional flow-speed and profile is crucial for estimating a solar cycle's features, which are ultimately responsible for causing space climate variations. However, no consensus has been reached yet…

Solar and Stellar Astrophysics · Physics 2014-08-22 Mausumi Dikpati , Jeffrey L. Anderson , Dhrubaditya Mitra

Kalman filtering can provide an optimal estimation of the system state from noisy observation data. This algorithm's performance depends on the accuracy of system modeling and noise statistical characteristics, which are usually challenging…

Systems and Control · Electrical Eng. & Systems 2025-04-18 Xun Xiao , Junbo Tie , Jinyue Zhao , Ziqi Wang , Yuan Li , Qiang Dou , Lei Wang

Nonlinear Kalman Filters are powerful and widely-used techniques when trying to estimate the hidden state of a stochastic nonlinear dynamic system. In this paper, we extend the Smart Sampling Kalman Filter (S2KF) with a new point symmetric…

Systems and Control · Computer Science 2015-06-11 Jannik Steinbring , Martin Pander , Uwe D. Hanebeck

A three-dimensional (3D) scanning velocimetry system is developed to quantify the 3D configurations of particles and their surrounding volumetric, three-component velocity fields. The approach uses a translating laser sheet to rapidly scan…

Fluid Dynamics · Physics 2021-08-04 Matt K. Fu , Isabel A. Houghton , John O. Dabiri

The understanding of nonlinear, high dimensional flows, e.g, atmospheric and ocean flows, is critical to address the impacts of global climate change. Data Assimilation techniques combine physical models and observational data, often in a…

Ensemble data assimilation in flood forecasting depends strongly on the density, frequency and statistics of errors associated with the observation network. This work focuses on the assimilation of 2D flood extent data, expressed in terms…

Image and Video Processing · Electrical Eng. & Systems 2023-05-24 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Raquel Rodriguez Suquet , Gwendoline Blanchet , Santiago Pena Luque , Peter Kettig

Under extreme operating conditions, characterized by high particle multiplicity and heavily overlapping shower energy deposits, classical particle flow algorithms encounter pronounced limitations in resolution, efficiency, and accuracy. To…

Instrumentation and Detectors · Physics 2025-05-13 Yu Wang , Yangguang Zhang , Shengxiang Lin , Xingyi Zhang , Han Zhang

A data-driven investigation of the flow around a high-rise building is performed combining heterogeneous experimental samples and RANS CFD. The coupling is performed using techniques based on the Ensemble Kalman Filter (EnKF), including…

Fluid Dynamics · Physics 2023-01-27 Lucas Villanueva , Miguel Martinez Valero , Anina Sarkic Glumac , Marcello Meldi

Full-body motion estimation of a human through wearable sensing technologies is challenging in the absence of position sensors. This paper contributes to the development of a model-based whole-body kinematics estimation algorithm using…

In inverse problems, the goal is to estimate unknown model parameters from noisy observational data. Traditionally, inverse problems are solved under the assumption of a fixed forward operator describing the observation model. In this…

Numerical Analysis · Mathematics 2024-09-26 Simon Weissmann , Neil K. Chada , Xin T. Tong

Ensemble Kalman filtering (EnKF) is an efficient approach to addressing uncertainties in subsurface groundwater models. The EnKF sequentially integrates field data into simulation models to obtain a better characterization of the model's…

Data Analysis, Statistics and Probability · Physics 2015-11-09 Boujemaa Ait-El-Fquih , Mohamad El Gharamti , Ibrahim Hoteit

In this paper, we study the problem of estimating the state of a dynamic state-space system where the output is subject to quantization. We compare some classical approaches and a new development in the literature to obtain the filtering…

Systems and Control · Electrical Eng. & Systems 2021-12-16 Angel L. Cedeño , Ricardo Albornoz , Boris I. Godoy , Rodrigo Carvajal , Juan C. Agüero

Working with a two-stage ice sheet model, we explore how statistical data assimilation methods can be used to improve predictions of glacier melt and relatedly, sea level rise. We find that the EnKF improves model runs initialized using…

Dynamical Systems · Mathematics 2023-05-23 Emily Corcoran , Logan Knudsen , Talea Mayo , Hannah Park-Kaufmann , Alexander Robel

In this work, we combine a stochastic model reduction with a particle filter augmented with tempering and jittering, and apply the combined algorithm to a damped and forced incompressible 2D Euler dynamics defined on a simply connected…

Applications · Statistics 2020-08-25 Colin Cotter , Dan Crisan , Darryl D. Holm , Wei Pan , Igor Shevchenko

Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applications. In this paper, we introduce two algorithms of…

Optimization and Control · Mathematics 2018-10-11 Wei Kang , Liang Xu

Extended Kalman filtering is a common approach to achieve floating base estimation of a humanoid robot. These filters rely on measurements from an Inertial Measurement Unit (IMU) and relative forward kinematics for estimating the base…

Robotics · Computer Science 2022-05-17 Prashanth Ramadoss , Stefano Dafarra , Silvio Traversaro , Daniele Pucci

Data assimilation techniques, such as ensemble Kalman filtering, have been shown to be a highly effective and efficient way to combine noisy data with a mathematical model to track and forecast dynamical systems. However, when dealing with…

Dynamical Systems · Mathematics 2023-05-17 Stephen A Falconer , David J. B. Lloyd , Naratip Santitissadeekorn
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