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About this paper

Pierre Perrault, Denis Belomestny, Pierre Ménard, Éric Moulines, Alexey Naumov, Daniil Tiapkin, Michal Valko

The authors bound the cumulant-generating function of an integral against a Dirichlet process for sums of independent random probability measures. They prove superadditivity and combine it with a large-deviation limit to obtain, for continuous functions on a compact space and every positive concentration parameter, a reverse-KL variational upper bound. It is asymptotically optimal as the parameter grows; this is a theoretical result.

Summary by alphaXiv.

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