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Denoising and interior detection problems
(Preprint)
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<Reference List>
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Type:
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Preprint
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National /International:
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International
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| Title: |
Denoising and interior detection problems
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Publication Date:
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2020-11-02
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Authors:
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- Paulo Eduardo Oliveira
- Nuno Picado
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Abstract:
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Let ℳ be a compact manifold of ℝd. The goal of this paper is to decide, based on a sample of points, whether the interior of ℳ is empty or not. We divide this work in two main parts. Firstly, under a dependent sample which may or may not contain some noise within, we characterize asymptotic properties of an interior detection test based on a suitable control of the dependence. Afterwards, we drop the dependence and consider a model where the points sampled from the manifold are mixed with some points sampled from a different measure (noisy observations). We study the behaviour with respect to the amount of noisy observations, introducing a methodology to identify true manifold points, characterizing convergence properties.
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Institution:
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DMUC 20-30
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Online version:
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http://www.mat.uc.pt...prints/eng_2020.html
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Download:
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Not available
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