Scattering Statistics of Generalized Spatial Poisson Point Processes

  title={Scattering Statistics of Generalized Spatial Poisson Point Processes},
  author={Michael Perlmutter and Jieqian He and Matthew J. Hirn},
We present a machine learning model for the analysis of randomly generated discrete signals, which we model as the points of a homogeneous or inhomogeneous, compound Poisson point process. Like the wavelet scattering transform introduced by S. Mallat, our construction is a mathematical model of convolutional neural networks and is naturally invariant to translations and reflections. Our model replaces wavelets with Gabor-type measurements and therefore decouples the roles of scale and frequency… 

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