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Posterior consistency of Gaussian process prior for nonparametric binary regression
Binary regression Gaussian process Karhunen–Loeve expansion maximal inequality posterior consistency
2010/4/26
Consider binary observations whose response probability is an
unknown smooth function of a set of covariates. Suppose that a prior
on the response probability function is induced by a Gaussian proce...
Uniform in bandwidth consistency of conditional U-statistics
conditional U–statistics empirical process kernel estimation Nadaraya–Watson regression function uniform in bandwidth consistency
2010/4/27
In 1991 Stute introduced a class of estimators called conditional U–statistics. They can be seen as a generalization of the Nadaraya-Watson estimator for the regression function, and he proved their s...
Self Consistency：A General Recipe for Wavelet Estimation With Irregularly-spaced and/or Incomplete Data
EM algorithm image denoising non-equispaced data missing data multiscale methods non-parametric regression wavelet thresholding
2010/4/26
Inspired by the key principle behind the EMalgorithm, we propose a general methodology for
conducting wavelet estimation with irregularly-spaced data by viewing the data as the observed
portion of a...