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20132026
most citedTowards a Mathematical Understanding of Neural Network-Based Machine Learning: what we know and what we don't

50 citations · 193 across the 27 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

cs.LG2023★ 5 cited

Group Equivariant Fourier Neural Operators for Partial Differential Equations

Jacob Helwig, Xuan Zhang, Cong Fu +3

We consider solving partial differential equations (PDEs) with Fourier neural operators (FNOs), which operate in the frequency domain. Since the laws of physics do not depend on th…

stat.ML2023

Nesterov acceleration despite very noisy gradients

Kanan Gupta, Jonathan W. Siegel, Stephan Wojtowytsch

We present a generalization of Nesterov's accelerated gradient descent algorithm. Our algorithm (AGNES) provably achieves acceleration for smooth convex and strongly convex minimiz…