Extending the Scope of Wavelet Regression Methods by Coefficient-Dependent Thresholding

By Arne Kovac, Bernard Walter Silverman. 2000

167 citations recorded by the source corpus.

Subfields: Analytical Chemistry, Applied Mathematics, Computer Vision and Pattern Recognition

View Paper: https://www.semanticscholar.org/paper/69564467bee848e1d5df84eac6c7004aa58570d0

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In Analytical Chemistry

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In Computer Vision and Pattern Recognition

Citations in the corpus

Regularization of Wavelet Approximations (2001, methodology): “…example, the interpolation method of Hall and Turlach (1997), the binning method of Antoniadis, Grégoire, and Vial (1997), the transformation method of Cai and Brown (1997), the isometric method of Sardy et al. (1999), and the interpolation method to a ne regular grid of Kovac and Silverman (2000).”
Wavelet Estimators in Nonparametric Regression: A Comparative Simulation Study (2001, background): “…Neumann & Spokoiny (1995), Wang (1996), Hall & Turlach (1997), Johnstone & Silverman (1997), Antoniadis, Grégoire & Vial (1997), Antoniadis & Pham (1998), Cai & Brown (1998, 1999), Nason (1999), Angelini, De Canditiis & Leblanc (2000), Kovac & Silverman (2000), and von Sachs & MacGibbon (2000).”
Incorporating Information on Neighboring Coefficients Into Wavelet Estimation (2001, methodology): “We complete the proof of Theorem 1 by combining the bounds (21) and ( 22 ), as in the case”
Wavelet thresholding for non-necessarily Gaussian noise: idealism (2003, background): “This approach has proved useful and successful as shown, in recent years, by various authors ([1], [23], [24], [25], [7], [9], [10], [11], [12], [13], [15], [21], [28], [33], [39].”
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”
Wavelet Analysis and its Statistical Applications (2000, methodology): “…the NWT over the DWT in nonparametric regression and time series analysis are demonstrated, for example, in Coifman and Donoho (1995), Nason and Silverman (1995), Lang et al. (1996), Johnstone and Silverman (1997, 1998), Percival and Mofjeld (1997), Berkner and Wells (1998) and Nason et al. (2000).”
Wavelet regression and additive models for irregularly spaced data (2019, unknown): “, 1999] and isometric [Kovac and Silverman, 2000] wavelet proposals, we use the universal thresholding rule for tuning parameter selection [Donoho and Johnstone, 1994]; this rule leads to near minimax convergence rates like that of Theorem 1.”
Multiscale methods for data on graphs and irregular multidimensional situations (2009, methodology): “The techniques of Kovac and Silverman (2000) could also be used to cope with correlated errors: essentially an estimate of the correlation structure would be fed into the variance estimation stage as described in Section 2.5.”
The Role of Pseudo Data for Robust Smoothing with Application to Wavelet Regression (2007, methodology): “The use of multiplier 0.3 was suggested by Kovac and Silverman (2000).”