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This work applies a quantitative metric well-known to the data assimilation community to a new context in order to capture the relative representativeness of non-simultaneous or non-co-located observations and quantify how these…

Atmospheric and Oceanic Physics · Physics 2023-08-08 C. E. Powell , Christopher S. Ruf , Scott Gleason , Scot C. R. Rafkin

Data assimilation (DA) combines model forecasts and observations to estimate the optimal state of the atmosphere with its uncertainty, providing initial conditions for weather prediction and reanalyses for climate research. Yet, existing…

Machine Learning · Computer Science 2026-03-05 Hang Fan , Juan Nathaniel , Yi Xiao , Ce Bian , Fenghua Ling , Ben Fei , Lei Bai , Pierre Gentine

There is an urgent need to build models to tackle Indoor Air Quality issue. Since the model should be accurate and fast, Reduced Order Modelling technique is used to reduce the dimensionality of the problem. The accuracy of the model, that…

Ensemble data assimilation techniques form an indispensable part of numerical weather prediction. As the ensemble size grows and model resolution increases, the amount of required storage becomes a major issue. Data compression schemes may…

Ensemble Kalman filter techniques are widely used to assimilate observations into dynamical models. The phase space dimension is typically much larger than the number of ensemble members which leads to inaccurate results in the computed…

Numerical Analysis · Mathematics 2010-01-22 Kay Bergemann , Sebastian Reich

Motivated by the challenge of incorporating data into misspecified and multiscale dynamical models, we study a McKean-Vlasov equation that contains the data stream as a common driving rough path. This setting allows us to prove…

Probability · Mathematics 2023-12-15 Michele Coghi , Torstein Nilssen , Nikolas Nüsken , Sebastian Reich

Machine learning techniques have seen a tremendous rise in popularity in weather and climate sciences. Data assimilation (DA), which combines observations and numerical models, has great potential to incorporate machine learning and…

Machine Learning · Computer Science 2024-03-20 Feiyu Lu

Thermal-Hydraulic (TH) experiments provide valuable insight into the physics of heat and mass transfer and qualified data for code development, calibration and validation. However, measurements are typically collected from sparsely…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Xicheng Wang , Yun. Feng , Dmitry Grishchenko , Pavel Kudinov , Ruifeng Tian , Sichao Tan

Localization has been a challenging task for autonomous navigation. A loop detection algorithm must overcome environmental changes for the place recognition and re-localization of robots. Therefore, deep learning has been extensively…

Robotics · Computer Science 2023-04-19 Alex Junho Lee , Seungwon Song , Hyungtae Lim , Woojoo Lee , Hyun Myung

The Ensemble Kalman filter assumes the observations to be Gaussian random variables with a pre-specified mean and variance. In practice, observations may also have detection limits, for instance when a gauge has a minimum or maximum value.…

Optimization and Control · Mathematics 2018-11-14 Abhishek Shah , Mohamad El Gharamti , Laurent Bertino

We present a multi-sensor Bayesian passive microwave retrieval algorithm for flood inundation mapping at high spatial and temporal resolutions. The algorithm takes advantage of observations from multiple sensors in optical, short-infrared,…

Data Analysis, Statistics and Probability · Physics 2018-07-12 Zeinab Takbiri , Ardeshir M Ebtehaj , Efi Foufoula-Georgiou

Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties of the state of the system. Filters refer to a class of data assimilation…

Optimization and Control · Mathematics 2013-08-06 C. E. A. Brett , K. F. Lam , K. J. H. Law , D. S. McCormick , M. R. Scott , A. M. Stuart

This paper investigates the use of depth images as localisation sensors for 3D map building. The localisation information is derived from the 3D data thanks to the ICP (Iterative Closest Point) algorithm. The covariance of the ICP, and thus…

Robotics · Computer Science 2012-05-17 Thibault Hervier , Silvère Bonnabel , François Goulette

Uncertainties of snowpack models and of their meteorological forcings limit their use by avalanche hazard forecasters, or for glaciological and hydrological studies. The spatialized simulations currently available for avalanche hazard…

Cloud formations often obscure optical satellite-based monitoring of the Earth's surface, thus limiting Earth observation (EO) activities such as land cover mapping, ocean color analysis, and cropland monitoring. The integration of machine…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Aleksis Pirinen , Nosheen Abid , Nuria Agues Paszkowsky , Thomas Ohlson Timoudas , Ronald Scheirer , Chiara Ceccobello , György Kovács , Anders Persson

Variational data assimilation optimizes for an initial state of a dynamical system such that its evolution fits observational data. The physical model can subsequently be evolved into the future to make predictions. This principle is a…

Machine Learning · Computer Science 2021-05-21 Thomas Frerix , Dmitrii Kochkov , Jamie A. Smith , Daniel Cremers , Michael P. Brenner , Stephan Hoyer

Accurate data assimilation (DA) for systems with piecewise-smooth or discontinuous state variables remains a significant challenge, as conventional covariance-based ensemble Kalman filter approaches often fail to effectively balance…

Numerical Analysis · Mathematics 2025-10-09 Tongtong Li , Anne Gelb , Yoonsang Lee

As global warming increases the complexity of weather patterns; the precision of weather forecasting becomes increasingly important. Our study proposes a novel preprocessing method and convolutional autoencoder model developed to improve…

Machine Learning · Computer Science 2024-11-11 Yo-Hwan Choi , Seon-Yu Kang , Minjong Cheon

Data assimilation combines information from models, measurements, and priors to estimate the state of a dynamical system such as the atmosphere. The Ensemble Kalman filter (EnKF) is a family of ensemble-based data assimilation approaches…

Computational Engineering, Finance, and Science · Computer Science 2014-12-09 Ahmed Attia , Adrian Sandu

The combined use of data from different sources can be critical in emergencies, where accurate models are needed to make real-time decisions, but high-fidelity representations and detailed information are simply unavailable. This study…

Systems and Control · Electrical Eng. & Systems 2025-01-07 Daniele Giovanni Gioia , Jacopo Bonari , Daniel Lichte , Alexander Popp