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Nonparametric Regression Estimation with Incomplete Data: Minimax Global Convergence Rates and Adaptivity
Adaptivity Besov spaces inhomogeneous data minimax estimation
2011/7/6
We consider the nonparametric regression estimation problem of recovering an unknown response function $f$ on the basis of incomplete data when the design points follow a known density $g$ with a fini...
Regression Estimation and Prediction in Continuous Time
Continuous time nonparametric prediction nonparametric regression
2009/3/5
This paper studies the nonparametric regression estimation and the prediction problem for continuous-time observations. The almost sure convergence of a kernel regression estimator and the associated ...
Nonparametric denoising Signals of Unknown Local Structure，II：Nonparametric Regression Estimation
Nonparametric denoising adaptive filtering minimax estimation nonparametric regression
2010/3/18
We consider the problem of recovering of continuous multi-dimensional functions f
from the noisy observations over the regular grid m−1Zd, m ∈ N∗. Our focus is at
the adaptive estimation...