no code implementations • 12 Jul 2023 • Stefano Favaro, Boris Hanin, Domenico Marinucci, Ivan Nourdin, Giovanni Peccati
We study the distribution of a fully connected neural network with random Gaussian weights and biases in which the hidden layer widths are proportional to a large constant $n$.
no code implementations • 29 Jun 2023 • Valentina Cammarota, Domenico Marinucci, Michele Salvi, Stefano Vigogna
We prove a Quantitative Functional Central Limit Theorem for one-hidden-layer neural networks with generic activation function.