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Matrix Deviation Inequality for $\ell_{p}$-Norm
Motivated by the general matrix deviation inequality for i. i. d ensemble Gaussian matrix, we study its universality property.
Probability
Central and Non-central Limit Theorems arising from the Scattering Transform and its Neural Activation Generalization
On the whole, NAST is a transform that comprises a sequence of ``neural processing units'', each of which applies a high pass filter to the input from the previous layer followed by a composition with a nonlinear function as the output to the next neuron.
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