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cs.LG2025
Approximation Capabilities of Feedforward Neural Networks with GELU Activations
Konstantin Yakovlev, Nikita Puchkin
We derive an approximation error bound that holds simultaneously for a function and all its derivatives up to any prescribed order. The bounds apply to elementary functions, includ…
cs.LG2025
Generalization error bound for denoising score matching under relaxed manifold assumption
Konstantin Yakovlev, Nikita Puchkin
We examine theoretical properties of the denoising score matching estimate. We model the density of observations with a nonparametric Gaussian mixture. We significantly relax the s…