Group Invariant Scattering

• Published in: Communications on pure and applied mathematics Vol. 65; no. 10; pp. 1331 - 1398
• Main Author: Mallat, Stéphane
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.10.2012; John Wiley and Sons, Limited
• Subjects: Expected values; Lie groups; Mathematical functions; Scattering; Wavelet transforms

This paper constructs translation‐invariant operators on $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}{\bf L}^2({{{\R}}}^d)$, which are Lipschitz‐continuous to the action of diffeomorphisms. A scattering propagator is a path‐ordered product of nonlinear and noncommuting operators, each of which c...