Rate-optimal and computationally efficient nonparametric density estimators are developed for the circle and sphere, with closed-form expressions for regional probability estimates.
(2012), ‘Heat Kernel Generated Frames in the Setting of Dirichlet Spaces’.Journal of Fourier Analysis and Applications, 18 (5), 995–1066
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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.