Stability of Graph Scattering Transforms

Understand

Scattering transforms are non-trainable deep convolutional architectures that exploit the multi-scale resolution of a wavelet filter bank to obtain an appropriate representation of data.

• More importantly, they are proven invariant to translations, and stable to perturbations that are close to translations.
• This stability property dons the scattering transform with a robustness to small changes in the metric domain of the data.
• When considering network data, regular convolutions do not hold since the data domain presents an irregular structure given by the network topology.