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math.ST updates on arXiv.org

What is Learnable in Valiant's Theory of the Learnable? 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On Estimating the Perimeter Using the Alpha-Shape
Ery Arias-Castro, Alberto Rodríguez Casal · 2015-07-01 · via math.ST updates on arXiv.org

We consider the problem of estimating the perimeter of a smooth domain in the plane based on a sample from the uniform distribution over the domain. We study the performance of the estimator defined as the perimeter of the alpha-shape of the sample. Some numerical experiments corroborate our theoretical findings.

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