120 citations · 295 across the 23 of their papers we have counts for
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cs.LG2024★ 1 cited
Addressing common misinterpretations of KART and UAT in neural network literature
Vugar Ismailov
This note addresses the Kolmogorov-Arnold Representation Theorem (KART) and the Universal Approximation Theorem (UAT), focusing on their frequent misinterpretations found in the ne…
math.CA2024
A note on the problem of straight-line interpolation by ridge functions
Azer Akhmedov, Vugar Ismailov
In this paper we discuss the problem of interpolation on straight lines by linear combinations of ridge functions with fixed directions. By using some geometry and/or systems of li…
math.FA2024
A note on the approximation by a sum of two algebras
Aida Asgarova, Vugar Ismailov
We consider the problem of approximation of a continuous function defined on a compact metric space by elements from a sum of two algebras. We prove a de la Vallée Poussin…