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stat.ML2022★ 6 cited
Neural Networks Efficiently Learn Low-Dimensional Representations with SGD
Alireza Mousavi-Hosseini, Sejun Park, Manuela Girotti +2
We study the problem of training a two-layer neural network (NN) of arbitrary width using stochastic gradient descent (SGD) where the input is Gaus…
math-ph2022★ 1 cited
Soliton versus the gas: Fredholm determinants, analysis, and the rapid oscillations behind the kinetic equation
Manuela Girotti, Tamara Grava, Robert Jenkins +2
We analyze the case of a dense mKdV soliton gas and its large time behaviour in the presence of a single trial soliton. We show that the solution can be expressed in terms of Fredh…