8 citations · 31 across the 37 of their papers we have counts for
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math.NA2025
On the Upper Bounds for the Matrix Spectral Norm
Alexey Naumov, Maxim Rakhuba, Denis Ryapolov +1
We consider the problem of estimating the spectral norm of a matrix using only matrix-vector products. We propose a new Counterbalance estimator that provides upper bounds on the n…
math.NA2022
Simultaneous approximation of a smooth function and its derivatives by deep neural networks with piecewise-polynomial activations
Denis Belomestny, Alexey Naumov, Nikita Puchkin +1
This paper investigates the approximation properties of deep neural networks with piecewise-polynomial activation functions. We derive the required depth, width, and sparsity of a…