Kriging-based interpolatory subdivision schemes

J Baccou (1) , J Liandrat (2)

1 IRSN - Institut de Radioprotection et de Sûreté Nucléaire
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

This paper is devoted to the definition, analysis and implementation of a new type of subdivision schemes adapted to data (through a stochastic approach) and to a partition of their support. Its construction combines position-dependent multiscale approximation ([7]) and the Kriging method ([12]). After a full convergence analysis that requires to extend classical results to this new framework, it is applied to data prediction for uni and bi-variate problems and compared to the Lagrange interpolatory subdivision.

Mots clés: Kriging; subdivision scheme; non-regular data prediction AMS subject classifications 65; 62

Domaines: Modélisation et simulation

J Baccou, J Liandrat. Kriging-based interpolatory subdivision schemes. Applied and Computational Harmonic Analysis, 2013, 35, pp.228 - 250. ⟨10.1016/j.acha.2012.07.008⟩. ⟨hal-01108457⟩