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Products derived from a single multispectral sensor are hampered by a limited spatial, spectral or temporal resolutions. Image fusion in general and downscaling/blending in particular allow to combine different multiresolution datasets. We…

Signal Processing · Electrical Eng. & Systems 2020-12-16 Alvaro Moreno-Martinez , Marco Maneta , Gustau Camps-Valls , Luca Martino , Nathaniel Robinson , Brady Allred , Steven W Running

Histopolation, or interpolation on segments, is a mathematical technique used to approximate a function $f$ over a given interval $I=[a,b]$ by exploiting integral information over a set of subintervals of $I$. Unlike classical polynomial…

Numerical Analysis · Mathematics 2025-08-12 Francesco Dell'Accio , Francesco Larosa , Federico Nudo , Najoua Siar

We present HyperFLINT (Hypernetwork-based FLow estimation and temporal INTerpolation), a novel deep learning-based approach for estimating flow fields, temporally interpolating scalar fields, and facilitating parameter space exploration in…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Hamid Gadirov , Qi Wu , David Bauer , Kwan-Liu Ma , Jos Roerdink , Steffen Frey

In a series of papers (Lombardi & Schneider 2001, 2002) we studied in detail the statistical properties of an interpolation technique widely used in astronomy. In particular, we considered the average interpolated map and its covariance…

Astrophysics · Physics 2009-11-07 Marco Lombardi , Peter Schneider

Geomagnetic map interpolation aims to infer unobserved geomagnetic data at spatial points, yielding critical applications in navigation and resource exploration. However, existing methods for scattered data interpolation are not…

Artificial Intelligence · Computer Science 2026-02-03 Wenda Li , Tongya Zheng , Kaixuan Chen , Shunyu Liu , Haoze Jiang , Yunzhi Hao , Rui Miao , Zujie Ren , Mingli Song , Hang Shi , Gang Chen

The integration of renewable energy sources and distributed generation in the power system calls for fast and reliable predictions of grid dynamics to achieve efficient control and ensure stability. In this work, we present a novel…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Carlos Moreno-Blazquez , Filiberto Fele , Teodoro Alamo

A number of key scientific computing applications that are based upon tensor-product grid constructions, such as numerical weather prediction (NWP) and combustion simulations, require property-preserving interpolation. Essentially…

Numerical Analysis · Mathematics 2022-10-18 Timbwaoga A. J. Ouermi , Robert M. Kirby , Martin Berzins

Graph Neural Networks have shown strong performance in traffic volume forecasting, particularly on highways and major arterial networks. Applying them to urban settings, however, presents unique challenges: urban networks exhibit greater…

Machine Learning · Computer Science 2025-12-18 Silke K. Kaiser , Filipe Rodrigues , Carlos Lima Azevedo , Lynn H. Kaack

Numerical simulations of merging black hole binaries produce the most accurate gravitational waveforms. The availability of hundreds of these numerical relativity (NR) waveforms, often containing many higher spherical harmonic modes, allows…

General Relativity and Quantum Cosmology · Physics 2016-11-24 Chad R. Galley , Patricia Schmidt

The calculation of potential energy surfaces for quantum dynamics can be a time consuming task -- especially when a high level of theory for the electronic structure calculation is required. We propose an adaptive interpolation algorithm…

Chemical Physics · Physics 2016-08-24 Markus Kowalewski , Elisabeth Larsson , Alfa Heryudono

In this paper we present a locally and dimension-adaptive sparse grid method for interpolation and integration of high-dimensional functions with discontinuities. The proposed algorithm combines the strengths of the generalised sparse grid…

Numerical Analysis · Mathematics 2011-10-04 John D. Jakeman , Stephen G. Roberts

Interpolation of sparse pixel information towards a dense target resolution finds its application across multiple disciplines in computer vision. State-of-the-art interpolation of motion fields applies model-based interpolation that makes…

Computer Vision and Pattern Recognition · Computer Science 2020-11-05 René Schuster , Oliver Wasenmüller , Christian Unger , Didier Stricker

Heterogeneous information network (HIN) has been widely used to characterize entities of various types and their complex relations. Recent attempts either rely on explicit path reachability to leverage path-based semantic relatedness or…

Information Retrieval · Computer Science 2021-07-02 Jiarui Jin , Kounianhua Du , Weinan Zhang , Jiarui Qin , Yuchen Fang , Yong Yu , Zheng Zhang , Alexander J. Smola

Graph-based approximation methods are of growing interest in many areas, including transportation, biological and chemical networks, financial models, image processing, network flows, and more. In these applications, often a basis for the…

Numerical Analysis · Mathematics 2024-03-18 Edward J. Fuselier , John Paul Ward

This paper considers binary classification of high-dimensional features under a postulated model with a low-dimensional latent Gaussian mixture structure and non-vanishing noise. A generalized least squares estimator is used to estimate the…

Machine Learning · Statistics 2023-03-30 Xin Bing , Marten Wegkamp

Bibliographic and co-citation coupling are two analytical methods widely used to measure the degree of similarity between scientific papers. These approaches are intuitive, easy to put into practice, and computationally cheap. Moreover,…

Digital Libraries · Computer Science 2021-09-22 Gaëlle Candel , David Naccache

Computationally expensive Radiative Transfer Models (RTMs) are widely used} to realistically reproduce the light interaction with the Earth surface and atmosphere. Because these models take long processing time, the common practice is to…

Super-resolving the coarse outputs of global climate simulations, termed downscaling, is crucial in making political and social decisions on systems requiring long-term climate change projections. Existing fast super-resolution techniques,…

Atmospheric and Oceanic Physics · Physics 2023-04-18 Norihiro Oyama , Noriko N. Ishizaki , Satoshi Koide , Hiroaki Yoshida

From tabulated nuclear and degenerate equations of state to photon and neutrino opacities, to nuclear reaction rates: tabulated data is ubiquitous in computational astrophysics. The dynamic range that must be covered by these tables…

Computational Physics · Physics 2025-01-10 Peter C. Hammond , Jacob M. Fields , Jonah M. Miller , Brandon L. Barker

Recent advancements in remote sensing technology and the increasing size of satellite constellations allows massive geophysical information to be gathered daily on a global scale by numerous platforms of different fidelity. The…

Computation · Statistics 2021-05-11 Si Cheng , Bledar A. Konomi , Jessica L. Matthews , Georgios Karagiannis , Emily L. Kang