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Despite tremendous progress in developing deep-learning-based weather forecasting systems, their design space, including the impact of different design choices, is yet to be well understood. This paper aims to fill this knowledge gap by…

Deep learning methods have surpassed the performance of traditional techniques on a wide range of problems in computer vision, but nearly all of this work has studied consumer photos, where precisely correct output is often not critical. It…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Mingze Xu , Chenyou Fan , John D Paden , Geoffrey C Fox , David J Crandall

An artificial neural network architecture, parameterization networks, is proposed for simulating extrapolated dynamics beyond observed data in dynamical systems. Parameterization networks are used to ensure the long term integrity of…

Chaotic Dynamics · Physics 2019-03-21 James P. L. Tan

In Convolutional Neural Network (CNN) based image processing, most studies propose networks that are optimized to single-level (or single-objective); thus, they underperform on other levels and must be retrained for delivery of optimal…

Computer Vision and Pattern Recognition · Computer Science 2020-10-07 Hyeongmin Lee , Taeoh Kim , Hanbin Son , Sangwook Baek , Minsu Cheon , Sangyoun Lee

Radiative transfer calculations in weather and climate models are notoriously complex and computationally intensive, which poses significant challenges. Traditional methods, while accurate, can be prohibitively slow, necessitating the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-22 Erick Fredj , Iggy Segev Gal , Noam Lavi , Shahar Belkar , Mark Wasserman , Ding Zhaohui , Yann Delorme

Wind gust prediction plays an important role in warning strategies of national meteorological services due to the high impact of its extreme values. However, forecasting wind gusts is challenging because they are influenced by small-scale…

Applications · Statistics 2024-01-24 Cristina Primo , Benedikt Schulz , Sebastian Lerch , Reinhold Hess

This study aims to improve the accuracy of weather predictions by discovering spatial correlations between Earth observations and atmospheric states. Existing numerical weather prediction (NWP) systems predict future atmospheric states at…

Machine Learning · Computer Science 2025-11-11 Hyeon-Ju Jeon , Jeon-Ho Kang , In-Hyuk Kwon , O-Joun Lee

Coordinate transformation models often fail to account for nonlinear and spatially dependent distortions, leading to significant residual errors in geospatial applications. Here we propose a residual-based neural correction strategy, in…

Extracting information related to weather and visual conditions at a given time and space is indispensable for scene awareness, which strongly impacts our behaviours, from simply walking in a city to riding a bike, driving a car, or…

Computer Vision and Pattern Recognition · Computer Science 2019-10-23 Mohamed R. Ibrahim , James Haworth , Tao Cheng

Accurate and timely hyperlocal weather predictions are essential for various applications, ranging from agriculture to disaster management. In this paper, we propose a novel approach that combines hyperlocal weather prediction and anomaly…

Machine Learning · Computer Science 2023-10-18 Anita B. Agarwal , Rohit Rajesh , Nitin Arul

In this paper a novel hybrid approach for compensating the distortion of any interpolation has been proposed. In this hybrid method, a modular approach was incorporated in an iterative fashion. By using this approach we can get drastic…

Multimedia · Computer Science 2010-09-21 A. ParandehGheibi , M. A. Akhaee , A. Ayremlou , M. A. Rahimian , F. Marvasti

Deep neural networks excel at learning the training data, but often provide incorrect and confident predictions when evaluated on slightly different test examples. This includes distribution shifts, outliers, and adversarial examples. To…

In this contribution, we propose a detailed study of interpolation-based data-driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer…

Numerical Analysis · Mathematics 2023-01-13 Quirin Aumann , Ion Victor Gosea

We consider scattered data approximation on product regions of equal and different dimensionality. On each of these regions, we assume quasi-uniform but unstructured data sites and construct optimal sparse grids for scattered data…

Numerical Analysis · Mathematics 2026-04-24 Michael Griebel , Helmut Harbrecht , Michael Multerer

In many recent works, multi-layer perceptions (MLPs) have been shown to be suitable for modeling complex spatially-varying functions including images and 3D scenes. Although the MLPs are able to represent complex scenes with unprecedented…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Animesh Karnewar , Tobias Ritschel , Oliver Wang , Niloy J. Mitra

Variational data assimilation technique applied to the identification of the optimal discretization of interpolation operators and derivatives in the nodes adjacent to the boundary of the domain is discussed in frames of the linear shallow…

Atmospheric and Oceanic Physics · Physics 2009-05-29 Eugene Kazantsev

In practice, deep neural networks are often able to easily interpolate their training data. To understand this phenomenon, many works have aimed to quantify the memorization capacity of a neural network architecture: the largest number of…

Machine Learning · Statistics 2024-12-09 Sjoerd Dirksen , Patrick Finke , Martin Genzel

Improving the skill of medium-range (3-8 day) severe weather prediction is crucial for mitigating societal impacts. This study introduces a novel approach leveraging decoder-only transformer networks to post-process AI-based weather…

Atmospheric and Oceanic Physics · Physics 2025-12-24 Zhanxiang Hua , Ryan Sobash , David John Gagne , Yingkai Sha , Alexandra Anderson-Frey

Statistical postprocessing is routinely applied to correct systematic errors of numerical weather prediction models (NWP) and to automatically produce calibrated local forecasts for end-users. Postprocessing is particularly relevant in…

Deep learning of the Artificial Neural Networks (ANN) can be treated as a particular class of interpolation problems. The goal is to find a neural network whose input-output map approximates well the desired map on a finite or an infinite…

Optimization and Control · Mathematics 2021-03-02 Andrei Agrachev , Andrey Sarychev
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