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A Gaussian Chain Rule Proof of the Banach Space Hanson Wright Bound

Witold Bednorz, Rafal Martynek, Rafal Meller

Source record

Source: arXiv

Published: Sep 19, 2026

arXiv: 2609.23147

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Source abstract

For a finite family of real matrices, we bound the Gaussian width of the union of its image ellipsoids by its maximal Hilbert Schmidt norm, its maximal fixed input Gaussian width, and the square root of the product of its operator radius and decoupled Gaussian chaos supremum.

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