708 citations · 2.8k across the 48 of their papers we have counts for
4 papers · 1 filter
Classification with Invariant Scattering Representations
Joan Bruna, Stéphane Mallat
A scattering transform defines a signal representation which is invariant to translations and Lipschitz continuous relatively to deformations. It is implemented with a non-linear c…
A conjecture concerning optimality of the Karhunen-Loeve basis in nonlinear reconstruction
Stephane Mallat, Ofer Zeitouni
We present a conjecture regarding the expectation of the maxima of norms of sub-vectors of a Gaussian vector; this has application to nonlinear reconstruction.
Geometric Models with Co-occurrence Groups
Joan Bruna, Stéphane Mallat
A geometric model of sparse signal representations is introduced for classes of signals. It is computed by optimizing co-occurrence groups with a maximum likelihood estimate calcul…
Group Invariant Scattering
Stéphane Mallat
This paper constructs translation invariant operators on L2(R^d), which are Lipschitz continuous to the action of diffeomorphisms. A scattering propagator is a path ordered product…