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cs.LG2022
Concentration inequalities and optimal number of layers for stochastic deep neural networks
Michele Caprio, Sayan Mukherjee
We state concentration inequalities for the output of the hidden layers of a stochastic deep neural network (SDNN), as well as for the output of the whole SDNN. These results allow…
math.ST2022
Refined Pinsker's and reverse Pinsker's inequalities for probability distributions of different dimensions
Michele Caprio
We provide optimal lower and upper bounds for the augmented Kullback-Leibler divergence in terms of the augmented total variation distance between two probability measures defined…