47 citations · 123 across the 18 of their papers we have counts for
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stat.ML2022★ 1 cited
Limitations on approximation by deep and shallow neural networks
Guergana Petrova, Przemysław Wojtaszczyk
We prove Carl's type inequalities for the error of approximation of compact sets K by deep and shallow neural networks. This in turn gives lower bounds on how well we can approxima…
math.FA2022
Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including Besov spaces
Fernando Albiac, José L. Ansorena, Glenier Bello +1
We prove that the sequence spaces and the spaces of infinite matrices , and , whic…
math.FA2022
On the entropy numbers and the Kolmogorov widths
Guergana Petrova, Przemyslaw Wojtaszczyk
Direct estimates between linear or nonlinear Kolmogorov widths and entropy numbers are presented. These estimates are derived using the recently introduced Lipschitz widths. Applic…