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20162026
most citedA proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients

48 citations · 151 across the 14 of their papers we have counts for

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math.OC2026

Landscape analysis for shallow neural networks: Complete classification of critical points for cubic activation and affine target functions

Shokhrukh Ibragimov, Ilkhom Mukhammadiev, Diyora Salimova

In this paper, we study the optimization landscape induced by the true loss for shallow polynomial neural networks (PNNs) with neurons on the hidden l…