What is wavelet scattering transform?
Wavelet scattering (or scatter transform) generates a representation that's invariant to data rotation/translation and stable to deformations of your data. Uninformative variations in your data are discarded — e.g. an audio sample time-shifted by various amounts.
What is scattering network?
Scattering network is a convolutional network, consisting of cascading convolutions using pre-defined wavelets followed by the modulus operator. Since its introduction in 2012, the scattering network is used as one of few mathematical tools explaining components of the convolutional neural networks (CNNs).