[PDF][PDF] Universal algorithms for learning theory part i: Piecewise constant functions.
This paper is concerned with the construction and analysis of a universal estimator for the
regression problem in supervised learning. Universal means that the estimator does not …
regression problem in supervised learning. Universal means that the estimator does not …
Adaptive wavelet Galerkin methods for linear inverse problems
A Cohen, M Hoffmann, M Reiss - SIAM Journal on Numerical Analysis, 2004 - SIAM
We introduce and analyze numerical methods for the treatment of inverse problems, based
on an adaptive wavelet Galerkin discretization. These methods combine the theoretical …
on an adaptive wavelet Galerkin discretization. These methods combine the theoretical …
Regularization by fractional filter methods and data smoothing
This paper is concerned with the regularization of linear ill-posed problems by a
combination of data smoothing and fractional filter methods. For the data smoothing, a …
combination of data smoothing and fractional filter methods. For the data smoothing, a …
Regression in random design and warped wavelets
G Kerkyacharian, D Picard - Bernoulli, 2004 - projecteuclid.org
We consider the problem of estimating an unknown function f in a regression setting with
random design. Instead of expanding the function on a regular wavelet basis, we expand it …
random design. Instead of expanding the function on a regular wavelet basis, we expand it …
A possible mechanism in heavy ion induced reactions:“Fast fission process”
B Borderie, M Berlanger, D Gardès, F Hanappe… - Zeitschrift für Physik A …, 1981 - Springer
The influence of the orbital angular momentum l on the mass distribution of fission fragments
is studied, both on previously available data on heavy ion induced fission and in new …
is studied, both on previously available data on heavy ion induced fission and in new …
[HTML][HTML] Wavelet density and regression estimators for functional stationary and ergodic data: Discrete time
S Didi, A Al Harby, S Bouzebda - Mathematics, 2022 - mdpi.com
The nonparametric estimation of density and regression function based on functional
stationary processes using wavelet bases for Hilbert spaces of functions is investigated in …
stationary processes using wavelet bases for Hilbert spaces of functions is investigated in …
[HTML][HTML] Wavelet density and regression estimators for continuous time functional stationary and ergodic processes
S Didi, S Bouzebda - Mathematics, 2022 - mdpi.com
In this study, we look at the wavelet basis for the nonparametric estimation of density and
regression functions for continuous functional stationary processes in Hilbert space. The …
regression functions for continuous functional stationary processes in Hilbert space. The …
Minimax or maxisets?
G Kerkyacharian, D Picard - 2002 - projecteuclid.org
We discuss a new way of evaluating the performance of a statistical estimation procedure.
This consists of investigating the maximal set where a given procedure has a given rate of …
This consists of investigating the maximal set where a given procedure has a given rate of …
Stein block thresholding for image denoising
In this paper, we investigate the minimax properties of Stein block thresholding in any
dimension d with a particular emphasis on d= 2. Towards this goal, we consider a frame …
dimension d with a particular emphasis on d= 2. Towards this goal, we consider a frame …
[HTML][HTML] Thresholding methods to estimate copula density
F Autin, E Le Pennec, K Tribouley - Journal of Multivariate Analysis, 2010 - Elsevier
This paper deals with the problem of multivariate copula density estimation. Using wavelet
methods we provide two shrinkage procedures based on thresholding rules for which …
methods we provide two shrinkage procedures based on thresholding rules for which …