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On the Subgaussianity of Quantized Linear Maps: An AI-Ass...
Guangyi Zou, Roman Vershynin · 2026-05-27 · via stat updates on arXiv.org

This short note presents a dimension-independent subgaussian concentration bound for Gaussian vectors under coordinate-wise nonlinear mappings. Discovered by Gemini 3.5 Flash, this result applies to any bounded function under a well-conditioned covariance. We apply this tool to answer a question of Simone Bombari on sign-quantized linear maps $Y = \text{sgn}(Wx)$.

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