Thumbnail

Exponential decay of scattering coefficients

Waldspurger, Irène (2017), Exponential decay of scattering coefficients, 2017 International Conference on Sampling Theory and Applications (SampTA), IEEE, p. 143-146. 10.1109/SAMPTA.2017.8024473

View/Open
Type
Communication / Conférence
Date
2017
Conference title
SampTA 2017 - Sampling Theory and Applications, 3-7 juillet 2017, Tallinn, Estonia
Conference date
2017-07
Conference city
Tallinn
Conference country
Estonia
Book title
2017 International Conference on Sampling Theory and Applications (SampTA)
Publisher
IEEE
Pages
143-146
Publication identifier
Metadata
Show full item record
Author(s)
Waldspurger, Irène
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
The scattering transform is a deep representation, defined as a cascade of wavelet transforms followed by the application of a complex modulus. In her PhD, the author showed that, under some conditions on the wavelets, the norm of the scattering coefficients at a given layer only depends on the values of the signal outside a frequency band whose size is exponential in the depth of the layer. We give here a succinct presentation of this result, and slightly generalize it by removing one of the assumptions on the wavelets (namely the weak analyticity condition).
Subjects / Keywords
Scattering; Wavelet transforms; exponential decay