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math.PR2026
Revisiting the Bobkov-Chistyakov-Götze theorem on approximately Gaussian marginals
Boaz Klartag
We study one-dimensional marginals of an isotropic, log-concave probability measure in . We show that the Kolmogorov distance between a typical marginal and the stand…
math.PR2025
Entropy and Learning of Lipschitz Functions under Log-Concave Measures
Pierre Bizeul, Boaz Klartag
We study regression of -Lipschitz functions under a log-concave measure on . We focus on the high-dimensional regime where the sample size is subexponentia…
math.PR2025
Thin-shell bounds via parallel coupling
Boaz Klartag, Joseph Lehec
We prove that for any log-concave random vector in with mean zero and identity covariance, where is a universa…