Estimates for the quantized tensor train ranks for the power functions

Sergey A. Matveev, Matvey Smirnov

In this work we provide theoretical estimates for the ranks of the power functions $f(k)=k^{-\alpha }$, $\alpha >1$ in the quantized tensor train (QTT) format for $k = 1, 2, 3, \ldots, 2^{d}…