Nonparametric stochastic regression with design-adapted wavelets
By Véronique Delouille, Jürgen Franke, R. von Sachs. 2001
54 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/bb8dd28bc2ed557aefa71932610ecd12b1e07da4
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- Maarten Jansen
- Guy P. Nason
- Piotr Fryzlewicz
- Gerard Kerkyacharian
- Dominique Picard
- Bernard Walter Silverman
- Véronique Delouille
- R. von Sachs
Citations in the corpus
- Smooth Design-Adapted Wavelets for Nonparametric Stochastic Regression (2004, methodology): “We build on the method and theory of Delouille et al. (2001), which uses the orthonormal unbalanced Haar basis (Girardi and Sweldens 1997).”
- Regression in random design and warped wavelets (2004, methodology): “In the case of irregular design, various attempts to solve this problem have been studied : see for instance the interpolation methods of Hall and Turlach (1997) [25], Kovac and Silverman (2000) [30], the binning method of Antoniadis, Gregoire and Vial (1997) [2], the transformation method of Cai an”
- Unbalanced Haar Technique for Nonparametric Function Estimation (2007, methodology): “UH wavelets were introduced by Girardi and Sweldens (1997) and applied in a nonparametric stochastic regression context by Delouille, Franke, and von Sachs (2001), who introduced “unbalancedness” to handle the fact that the design was stochastic and thus nonequispaced; thus the need for basis…”
- Multiscale methods for data on graphs and irregular multidimensional situations (2009, methodology): “In two dimensions curve estimation with lifting has been tackled by Delouille (2002) and Delouille et al. (2003): this work and the current paper both develop and build on Jansen et al. (2001).”