Sampling From A Manifold
classification
🧮 math.ST
stat.TH
keywords
algorithmssamplingapplicationsarticledevelopdistributionembeddedevaluation
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We develop algorithms for sampling from a probability distribution on a submanifold embedded in Rn. Applications are given to the evaluation of algorithms in 'Topological Statistics'; to goodness of fit tests in exponential families and to Neyman's smooth test. This article is partially expository, giving an introduction to the tools of geometric measure theory.
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