A New Bound on the Cumulant Generating Function of Dirichlet Processes

Name: A New Bound on the Cumulant Generating Function of Dirichlet Processes
Uploaded: 2026-10-09T02:23:11.719462+00:00
Duration: 273 s
Description: The paper introduces a novel method using superadditivity to bound the cumulant generating function (CGF) of a Dirichlet Process (DP). This technique converts known asymptotic large deviation principles into practical, non-asymptotic concentration inequalities for sums of independent DPs, providing an upper bound on the CGF.

The paper introduces a novel method using superadditivity to bound the cumulant generating function (CGF) of a Dirichlet Process (DP). This technique converts known asymptotic large deviation principles into practical, non-asymptotic concentration inequalities for sums of independent DPs, providing an upper bound on the CGF.

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