102 citations · 157 across the 6 of their papers we have counts for
4 papers · 1 filter
Random Neural Networks in the Infinite Width Limit as Gaussian Processes
Boris Hanin
This article gives a new proof that fully connected neural networks with random weights and biases converge to Gaussian processes in the regime where the input dimension, output di…
Non-asymptotic Results for Singular Values of Gaussian Matrix Products
Boris Hanin, Grigoris Paouris
This article concerns the non-asymptotic analysis of the singular values (and Lyapunov exponents) of Gaussian matrix products in the regime where the number of term in the pro…
Products of Many Large Random Matrices and Gradients in Deep Neural Networks
Boris Hanin, Mihai Nica
We study products of random matrices in the regime where the number of terms and the size of the matrices simultaneously tend to infinity. Our main theorem is that the logarithm of…
The lemniscate tree of a random polynomial
Michael Epstein, Boris Hanin, Erik Lundberg
To each generic complex polynomial there is associated a labeled binary tree (here referred to as a "lemniscate tree") that encodes the topological type of the graph of $|p(…