Stability of the scattering transform for deformations with minimal regularity

DOI10.1016/j.matpur.2023.10.008zbMath1529.94016arXiv2205.11142MaRDI QIDQ6139821

Fabio Nicola, S. Ivan Trapasso

Publication date: 19 December 2023

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.11142

zbMATH Keywords

waveletsstabilitymultiresolution analysisdeformationsscattering transformmathematics of artificial intelligence

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Artificial neural networks and deep learning (68T07) Learning and adaptive systems in artificial intelligence (68T05) Function spaces arising in harmonic analysis (42B35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

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On generalizations of the nonwindowed scattering transform

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