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Nonparametric and nonlinear reconstruction of surfaces from qualitative observations

✍ Scribed by Ewaryst Rafajłowicz; Adam Krzyżak

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 114 KB
Volume: 63
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.02.048

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✦ Synopsis

The aim of this paper is to discuss the problem of reconstructing surfaces from qualitative observations. The problem statement is motivated by examples from testing quality of materials. The proposed estimator is nonlinear and nonparametric. Its consistency is discussed and the rate of convergence is given. Then, we propose its smoothed and adaptive version and validate it using simulated data.

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