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math.NA2025
Accelerating Newton-Schulz Iteration for Orthogonalization via Chebyshev-type Polynomials
Ekaterina Grishina, Matvey Smirnov, Maxim Rakhuba
The problem of computing optimal orthogonal approximation to a given matrix has attracted growing interest in machine learning. Notable applications include the recent Muon optimiz…
math.NA2024
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 , in the quantized tensor train (QTT) format for $k = 1, 2, 3, \ldots, 2^{d}…