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math.OC2026
High-Dimensional Analysis of Gradient Flow for Extensive-Width Quadratic Neural Networks
Simon Martin, Giulio Biroli, Francis Bach
We study the high-dimensional training dynamics of a shallow neural network with quadratic activation in a teacher-student setup. We focus on the extensive-width regime, where the…
math.OC2023★ 2 cited
On the Impact of Overparameterization on the Training of a Shallow Neural Network in High Dimensions
Simon Martin, Francis Bach, Giulio Biroli
We study the training dynamics of a shallow neural network with quadratic activation functions and quadratic cost in a teacher-student setup. In line with previous works on the sam…