On the Dimension-Free Concentration of Simple Tensors via Matrix Deviation

Published 11 Jun 2025 in math.PR | (2506.09333v2)

Abstract: We provide a simpler proof of a sharp concentration inequality for subgaussian simple tensors obtained recently by Al-Ghattas, Chen and Sanz-Alonso. Our approach uses a matrix deviation inequality for $\ell^p$ norms and a basic chaining argument.

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