On the Dimension-Free Concentration of Simple Tensors via Matrix Deviation
Probability
2025-10-23 v3
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 norms and a basic chaining argument.
Keywords
Cite
@article{arxiv.2506.09333,
title = {On the Dimension-Free Concentration of Simple Tensors via Matrix Deviation},
author = {Pedro Abdalla and Roman Vershynin},
journal= {arXiv preprint arXiv:2506.09333},
year = {2025}
}