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math.ST2013★ 68 cited
Density Estimation in Infinite Dimensional Exponential Families
Bharath Sriperumbudur, Kenji Fukumizu, Arthur Gretton +2
In this paper, we consider an infinite dimensional exponential family, of probability densities, which are parametrized by functions in a reproducing kernel Hilbert s…
math.ST2013★ 37 cited
On the optimal estimation of probability measures in weak and strong topologies
Bharath Sriperumbudur
Given random samples drawn i.i.d. from a probability measure (defined on say, ), it is well-known that the empirical estimator is an optimal estimator of…