Group Invariant Scattering

Scattering propagators iteratively compute modulus of wavelet transforms, over sequences of wavelets indexed by a path variable. Windowed scattering transforms are Lipschitz continuous to diffeomorphisms and converge to a scattering integral which is translation invariant. Expected scattering transforms provide representations of stationary processes, which discriminate non-Gaussian processes through high-order moments. Rotation invariance is obtained by extending scattering propagators and integrals on compact Lie groups.