Approximation by sums of shifts and dilations of a single function and neural networks

Shklyaev, K.

doi:10.1016/j.jat.2023.105915

Journal of Approximation Theory

2023

DOI: 10.1016/j.jat.2023.105915

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Approximation by sums of shifts and dilations of a single function and neural networks

K. Shklyaev

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2024

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Density of sums of shifts of a single function in $L_2^0$ space on a compact abelian group

Dyuzhina

2024

Математический сборник

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Пусть $G$ - нетривиальная компактная абелева группа. Доказывается следующий результат: действительная функция на $G$, суммы сдвигов которой плотны по норме $L_{2}$ в соответствующем действительном пространстве функций с нулевым средним, существует тогда и только тогда, когда группа $G$ связная и имеет счетную группу характеров. Библиография: 13 названий.

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Density of sums of shifts of a single function in $L_2^0$ space on a compact abelian group

Dyuzhina

2024

Математический сборник

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Density of the sums of shifts of a single function in the $L_2^0$ space on a compact Abelian group

Dyuzhina

2024

Sb. Math.

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Approximation by sums of shifts and dilations of a single function and neural networks

Cited by 2 publications

References 8 publications

Density of sums of shifts of a single function in $L_2^0$ space on a compact abelian group

Density of sums of shifts of a single function in $L_2^0$ space on a compact abelian group

Density of the sums of shifts of a single function in the $L_2^0$ space on a compact Abelian group

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