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We study multiscale scattered data interpolation schemes for globally supported radial basis functions with focus on the Mat\'ern class. The multiscale approximation is constructed through a sequence of residual corrections, where radial…

Numerical Analysis · Mathematics 2025-03-18 Sara Avesani , Rüdiger Kempf , Michael Multerer , Holger Wendland

The acquisition of high-resolution satellite imagery is often constrained by the spatial and temporal limitations of satellite sensors, as well as the high costs associated with frequent observations. These challenges hinder applications…

Computer Vision and Pattern Recognition · Computer Science 2026-05-06 Luigi Sigillo , Renato Giamba , Danilo Comminiello

Recent years have seen a surge in data-driven surrogates for dynamical systems that can be orders of magnitude faster than numerical solvers. However, many machine learning-based models such as neural operators exhibit spectral bias,…

Machine Learning · Computer Science 2026-05-07 Xuesong Wang , Michael Groom , Rafael Oliveira , He Zhao , Terence O'Kane , Edwin V. Bonilla

Satellite-based onboard data processing is crucial for time-sensitive applications requiring timely and efficient rapid response. Advances in edge artificial intelligence are shifting computational power from ground-based centers to…

Computer Vision and Pattern Recognition · Computer Science 2024-11-07 Roberto Del Prete , Manuel Salvoldi , Domenico Barretta , Nicolas Longépé , Gabriele Meoni , Arnon Karnieli , Maria Daniela Graziano , Alfredo Renga

In-situ ocean wave observations are critical to improve model skill and validate remote sensing wave measurements. Historically, such observations are extremely sparse due to the large costs and complexity of traditional wave buoys and…

Atmospheric and Oceanic Physics · Physics 2020-03-11 Pieter B. Smit , Isabel A. Houghton , Kalina Jordanova , Thomas Portwood , Evan Shapiro , David Clark , Michael Sosa , Tim T. Janssen

Recent advances in unsupervised learning have demonstrated the ability of large vision models to achieve promising results on downstream tasks by pre-training on large amount of unlabelled data. Such pre-training techniques have also been…

Computer Vision and Pattern Recognition · Computer Science 2024-03-11 Mubashir Noman , Muzammal Naseer , Hisham Cholakkal , Rao Muhammad Anwar , Salman Khan , Fahad Shahbaz Khan

The current availability of soil moisture data over large areas comes from satellite remote sensing technologies (i.e., radar-based systems), but these data have coarse resolution and often exhibit large spatial information gaps. Where data…

Machine Learning · Computer Science 2019-05-22 Danny Rorabaugh , Mario Guevara , Ricardo Llamas , Joy Kitson , Rodrigo Vargas , Michela Taufer

Relevant comprehension of flood hazards has emerged as a crucial necessity, especially as the severity and the occurrence of flood events intensify with climate changes. Flood simulation and forecast capability have been greatly improved…

Image and Video Processing · Electrical Eng. & Systems 2022-11-18 Thanh Huy Nguyen , Anthéa Delmotte , Christophe Fatras , Peter Kettig , Andrea Piacentini , Sophie Ricci

Automotive radar has increasingly attracted attention due to growing interest in autonomous driving technologies. Acquiring situational awareness using multimodal data collected at high sampling rates by various sensing devices including…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 Madhumitha Sakthi , Ahmed Tewfik , Marius Arvinte , Haris Vikalo

The proper determination of soil moisture on different scales is important for applications in a variety of fields. We aim to develop a high-level soil moisture product with high temporal and spatial resolution by assimilating the…

Atmospheric and Oceanic Physics · Physics 2021-04-21 J. Vural , S. Schneider , B. Bauer-Marschallinger , K. Haslinger

Autonomous vehicles (AVs) fuse data from multiple sensors and sensing modalities to impart a measure of robustness when operating in adverse conditions. Radars and cameras are popular choices for use in sensor fusion; although radar…

Robotics · Computer Science 2023-12-12 Emmett Wise , Qilong Cheng , Jonathan Kelly

A novel dynamically varying search radius algorithm is developed that takes advantage of bathymetry information to choose satellite observations that represent coastal sea level variability better. The algorithm is successfully tested at…

Atmospheric and Oceanic Physics · Physics 2025-08-28 Vandana Sukumaran , Bramha Dutt Vishwakarma

Radar has become an essential sensor for autonomous navigation, especially in challenging environments where camera and LiDAR sensors fail. 4D single-chip millimeter-wave radar systems, in particular, have drawn increasing attention thanks…

Robotics · Computer Science 2025-03-18 Jingqi Jiang , Shida Xu , Kaicheng Zhang , Jiyuan Wei , Jingyang Wang , Sen Wang

Variational data assimilation in continuous time is revisited. The central techniques applied in this paper are in part adopted from the theory of optimal nonlinear control. Alternatively, the investigated approach can be considered as a…

Atmospheric and Oceanic Physics · Physics 2015-05-18 Jochen Bröcker

Oceanic processes at fine scales are crucial yet difficult to observe accurately due to limitations in satellite and in-situ measurements. The Surface Water and Ocean Topography (SWOT) mission provides high-resolution Sea Surface Height…

Atmospheric and Oceanic Physics · Physics 2025-03-28 Eugenio Cutolo , Carlos Granero-Belinchon , Ptashanna Thiraux , Jinbo Wang , Ronan Fablet

An alternative data-driven modeling approach has been proposed and employed to gain fundamental insights into robot motion interaction with granular terrain at certain length scales. The approach is based on an integration of dimension…

Robotics · Computer Science 2025-06-13 Guanjin Wang , Xiangxue Zhao , Shapour Azarm , Balakumar Balachandran

This paper addresses variational data assimilation from a learning point of view. Data assimilation aims to reconstruct the time evolution of some state given a series of observations, possibly noisy and irregularly-sampled. Using automatic…

Computational Physics · Physics 2021-11-10 Ronan Fablet , Bertrand Chapron , Lucas. Drumetz , Etienne Memin , Olivier Pannekoucke , Francois Rousseau

Inertial sensor calibration plays a progressively important role in many areas of research among which navigation engineering. By performing this task accurately, it is possible to significantly increase general navigation performance by…

Signal Processing · Electrical Eng. & Systems 2021-11-01 Gaetan Bakalli , Davide A. Cucci , Ahmed Radi , Naser El-Sheimy , Roberto Molinari , Olivier Scaillet , Stéphane Guerrier

Accurate estimation of error covariances (both background and observation) is crucial for efficient observation compression approaches in data assimilation of large-scale dynamical problems. We propose a new combination of a covariance…

Numerical Analysis · Mathematics 2021-06-11 Sibo Cheng , Didier Lucor , Jean-Philippe Argaud

Many dynamical systems are difficult or impossible to model using high fidelity physics based models. Consequently, researchers are relying more on data driven models to make predictions and forecasts. Based on limited training data,…

Chaotic Dynamics · Physics 2025-04-09 Max M. Chumley , Firas A. Khasawneh