On principal curves with a length constraint

DOI10.1214/19-AIHP1030zbMath1454.60031arXiv1707.01326MaRDI QIDQ2227479

Aurélie Fischer, Sylvain Delattre

Publication date: 15 February 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01326

zbMATH Keywords

principal curveslength constraintaverage-distance problemfinite curvaturequantization of probability measures

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10) Distribution theory (60E99)

Related Items (max. 100)

Average-distance problem with curvature penalization for data parameterization: regularity of minimizers

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