Estimation of QTT Ranks of Regular Functions on a Uniform Square Grid

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发表日期：

2024年2月1日

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A. Zyl’,
N. Zamarashkin

摘要

Abstract

The paper proves estimates of \(\varepsilon \) -ranks for TT decompositions of tensors obtained by tensorizing the values of a regular function of one complex variable on a uniform square grid in the complex plane. A relation between the approximation accuracy and the geometry of the domain of regularity of the function is established.