Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Banach spaces"
Now showing items 1-4 of 4
-
Article
Inversion of noisy Radon transform by SVD based needlets
(2010)A linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon transform SVD basis. Upper bounds of the ...
-
Article
Multichannel deconvolution with long range dependence: Upper bounds on the Lp-risk (1 ≤ p < ∞)
(2015)We consider multichannel deconvolution in a periodic setting with long-memory errors under three different scenarios for the convolution operators, i.e., super-smooth, regular-smooth and box-car convolutions. We investigate ...
-
Article
Nonparametric regression estimation based on spatially inhomogeneous data: Minimax global convergence rates and adaptivity
(2014)We consider the nonparametric regression estimation problem of recovering an unknown response function f on the basis of spatially inhomogeneous data when the design points follow a known density g with a finite number of ...
-
Article
Wavelet methods for continuous-time prediction using Hilbert-valued autoregressive processes
(2003)We consider the prediction problem of a continuous-time stochastic process on an entire time-interval in terms of its recent past. The approach we adopt is based on the notion of autoregressive Hilbert processes that ...