# Tensor-Train Ranks for Matrices and Their Inverses

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We give a proof of (a slightly refined version of) a graph theoretic formula due to Gammelgaard, Karabegov and Schlichenmaier for Berezin-Toeplitz quantization on Kï¿½hler manifolds. We obtain the formula by inverting the Berezin transform using a composition formula for the ring of...