Bombari's Question on Sign-Quantized Linear Maps
Statement
A dimension-independent subgaussian concentration bound for Gaussian vectors under coordinate-wise nonlinear maps, valid for any bounded function under a well-conditioned covariance, which answers a question of Simone Bombari on sign quantization.
Context
A question from the high-dimensional probability literature on what survives sign quantization, narrow but explicitly posed.
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The abstract states the result was discovered by Gemini 3.5 Flash, and the title calls the paper an AI-assisted note. Worth recording that a small fast model, not a frontier reasoning tier, produced it.
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