Learning neural operators on riemannian manifolds

G Chen, X Liu, Q Meng, L Chen, C Liu, Y Li - arXiv preprint arXiv …, 2023 - arxiv.org
In Artificial Intelligence (AI) and computational science, learning the mappings between
functions (called operators) defined on complex computational domains is a common …

[图书][B] Wavefronts and rays as characteristics and asymptotics

A Bóna, MA Slawinski - 2020 - books.google.com
Characteristics and asymptotics of partial differential equations play an important role in
mathematical physics since they lead to insightful solutions of complex problems that might …

Weak continuity of the Cartan structural system and compensated compactness on semi-Riemannian manifolds with lower regularity

GQG Chen, S Li - Archive for Rational Mechanics and Analysis, 2021 - Springer
We are concerned with the global weak continuity of the Cartan structural system—or
equivalently, the Gauss–Codazzi–Ricci system—on semi-Riemannian manifolds with lower …

[HTML][HTML] Enhanced Fourier Transform Using Wavelet Packet Decomposition

W Cabrel, GT Mumanikidzwa, J Shen, Y Yan - Journal of Sensor …, 2024 - scirp.org
Many domains, including communication, signal processing, and image processing, use the
Fourier Transform as a mathematical tool for signal analysis. Although it can analyze signals …

New data-driven predictive modelling methods for data scarcity scenarios in smart manufacturing

G Chen - 2023 - theses.hal.science
Data-driven smart manufacturing has demonstrated tremendous potential across the entire
manufacturing lifecycle, and initiated and enriched a series of new paradigms, such as …

Numerical methods for Gaussian discretizations in electronic structure theory problems

IM Lygatsika - 2024 - theses.hal.science
Molecular simulation is among the most common tools in modern chemistry.
Suchsimulations often suffer from several computational bottlenecks that reducetheir …

Modelagem de trânsitos planetários nas curvas de luz do telescópio espacial TESS

TA Fragoso - 2023 - lume.ufrgs.br
Neste trabalho, exploramos as potencialidades do uso da análise de Fourier na detecção e
modelagem de trânsitos planetários de curvas de luz provenientes de FFIs do Telescópio …

Graph Convolutions and Machine Learning

KT Otness - 2018 - dash.harvard.edu
In recent years deep learning has produced significant improvements in the field of machine
learning, with some of the greatest successes resulting from the application of convolutional …

Quantization and Source Coding for Graph Signal Processing

P Reingruber - 2024 - repositum.tuwien.at
Instead of modelling data on regular domains as in classical 1-D or 2-D signal processing,
the field of graph signal processing allows for data to be described and processed on …

The choosing of reproducing kernel particle shape function with mathematic proof

X Mao-Hui, L Jin - Chinese Physics, 2007 - iopscience.iop.org
Many mechanical problems can be induced from differential equations with boundary
conditions; there exist analytic and numerical methods for solving the differential equations …