3 papers
math.PR2026
On the Subgaussianity of Quantized Linear Maps: An AI-Assisted Note
Guangyi Zou, Roman Vershynin
We prove an elementary bounded-differences inequality for functions of non-isotropic Gaussian vectors. Specifically, if has bounded coordinate differences and $X\sim\mathcal N(…
math.PR2026
Discrepancy and Fisher information
Gleb Smirnov, Roman Vershynin
We give an online algorithm that keeps a symmetric random walk inside a convex body by discarding some of its steps. The expected number of discarded steps is controlled by a Fishe…
math.ST2026
Can we spot a fake?
Shahar Mendelson, Grigoris Paouris, Roman Vershynin
The problem of detecting fake data inspires the following seemingly simple mathematical question. Sample a data point from the standard normal distribution in . A…