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About this paper

Hanuka Eshima, Amedeo Roberto Esposito, Andrea Paudice

The authors extend McDiarmid’s inequality to nonlinear functions of independent inputs by bounding conditional p-th moments of one-sided gaps between function values and coordinatewise ceilings. Reverse-KL tensorization yields an exponential upper-tail bound for 1<p≤2, without requiring two-sided bounded changes. They bound population risk by empirical risk and complexity terms under finite-moment and finite-complexity assumptions; this is not two-sided concentration.

Summary by alphaXiv.

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