Derives McDiarmid-type inequalities for dependent variables via approximate tensorization of entropy, with applications improving DKW rates to 1/sqrt(n) under weak dependence for log-concave measures.
A slightly improved bound for the KLS constant
2 Pith papers cite this work. Polarity classification is still indexing.
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In dimension two the authors prove Blocki's conjectures on Bergman kernels together with the L^p-Mahler conjectures for 1 ≤ p ≤ ∞ and supply an elementary proof of Bourgain's strong hyperplane conjecture.
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On McDiarmid's Inequality under Dependence via Approximate Tensorization of Entropy
Derives McDiarmid-type inequalities for dependent variables via approximate tensorization of entropy, with applications improving DKW rates to 1/sqrt(n) under weak dependence for log-concave measures.
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Two-dimensional B\l{}ocki, $L^p$-Mahler, and Bourgain conjectures
In dimension two the authors prove Blocki's conjectures on Bergman kernels together with the L^p-Mahler conjectures for 1 ≤ p ≤ ∞ and supply an elementary proof of Bourgain's strong hyperplane conjecture.