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arXiv · 2506.09333

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

Pedro Abdalla·Roman Vershynin
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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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Pedro Abdalla, Roman Vershynin. 2025-06-11. On the Dimension-Free Concentration of Simple Tensors via Matrix Deviation. https://arxiv.org/abs/2506.09333

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