Rate-optimal and computationally efficient nonparametric density estimators are developed for the circle and sphere, with closed-form expressions for regional probability estimates.
(2015), ‘Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces’,Transactions of the American Mathematical Society, 367, 121–189
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Rate-optimal and computationally efficient nonparametric estimation on the circle and the sphere
Rate-optimal and computationally efficient nonparametric density estimators are developed for the circle and sphere, with closed-form expressions for regional probability estimates.