2 citations · 7 across the 11 of their papers we have counts for
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cs.LG2022★ 2 cited
Characterizing the Spectrum of the NTK via a Power Series Expansion
Michael Murray, Hui Jin, Benjamin Bowman +1
Under mild conditions on the network initialization we derive a power series expansion for the Neural Tangent Kernel (NTK) of arbitrarily deep feedforward networks in the infinite…
stat.ML2022★ 1 cited
Spectral Bias Outside the Training Set for Deep Networks in the Kernel Regime
Benjamin Bowman, Guido Montufar
We provide quantitative bounds measuring the difference in function space between the trajectory of a finite-width network trained on finitely many samples from the idealized…
stat.ML2022★ 1 cited
Implicit Bias of MSE Gradient Optimization in Underparameterized Neural Networks
Benjamin Bowman, Guido Montufar
We study the dynamics of a neural network in function space when optimizing the mean squared error via gradient flow. We show that in the underparameterized regime the network lear…