Results 201 to 210 of about 4,541 (238)

Penalized hyperbolic-polynomial splines [PDF]

open access: yesApplied Mathematics Letters, 2021
Splines and spline approximations using penality functions are especially useful tools in univariate approximation theory when univariate data are to be approximated, and when no interpolation property is needed. The methods using piecewise polynomial splines and penalty methods can be formulated via square (or otherwise, other \(L^p\)-norms are ...
Rosanna Campagna, Costanza Conti
exaly   +4 more sources

Uniform convergence of penalized splines

open access: yesStat, 2020
Penalized splines are popular for nonparametric regression. We establish the minimax rate optimality of penalized splines for uniform convergence, thus improving the existing rate in the literature. The result is applicable to several types of penalized splines that are commonly used and holds under mild conditions on the design points.
Luo Xiao
exaly   +3 more sources
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Adaptive penalized splines for data smoothing

Computational Statistics and Data Analysis, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lianqiang Yang, Yongmiao Hong
exaly   +2 more sources

Asymptotic theory of penalized splines

open access: yesElectronic Journal of Statistics, 2019
The paper gives a unified study of the large sample asymptotic theory of penalized splines including the O-splines using B-splines and an integrated squared derivative penalty [22], the P-splines which use B-splines and a discrete difference penalty [13], and the T-splines which use truncated polynomials and a ridge penalty [24].
Luo Xiao
exaly   +3 more sources

ON SEMIPARAMETRIC REGRESSION WITH O'SULLIVAN PENALIZED SPLINES [PDF]

open access: yesAustralian and New Zealand Journal of Statistics, 2008
SummaryAn exposition on the use of O'Sullivan penalized splines in contemporary semiparametric regression, including mixed model and Bayesian formulations, is presented. O'Sullivan penalized splines are similar to P‐splines, but have the advantage of being a direct generalization of smoothing splines. Exact expressions for the O'Sullivan penalty matrix
M P Wand
exaly   +4 more sources

On the asymptotics of penalized splines

Biometrika, 2008
SUMMAvRY We study the asymptotic behaviour of penalized spline estimators in the univariate case. We use B-splines and a penalty is placed on mth-order differences of the coefficients. The number of knots is assumed to converge to infinity as the sample size increases. We show that penalized splines behave similarly to Nadaraya-Watson kernel estimators
Yingxing Li, David Ruppert
openaire   +2 more sources

Constrained penalized splines

Canadian Journal of Statistics, 2012
AbstractThe penalized spline is a popular method for function estimation when the assumption of “smoothness” is valid. In this paper, methods for estimation and inference are proposed using penalized splines under additional constraints of shape, such as monotonicity or convexity.
openaire   +1 more source

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