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Smoothing Spline Score Estimation

SIAM Journal on Scientific Computing, 1994
Summary: A new characterization and interpretation of the \textit{D. D. Cox} [Ann. Inst. Stat. Math. 37, 271-288 (1985; Zbl 0578.62041)] smoothing spline score estimator is provided, which makes it possible to construct an efficient algorithm for computing this score estimator.
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Smoothing With Periodic Cubic Splines

Bell System Technical Journal, 1983
In this paper we present a mathematical algorithm for constructing a smoothing cubic spline with periodic end conditions and a predetermined ‘closeness of fit’ to a given set of points in the plane. In addition to providing a mathematical tool for smoothing raw data in which the underlying function is known to be periodic, this algorithm has special ...
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Smoothing splines for longitudinal data

Statistics in Medicine, 1995
AbstractIn a longitudinal data model with fixed and random effects, polynomials are used to model the fixed effects and smoothing polynomial splines are used to model the within‐subject random effect curves. The splines are generated by modelling the data for each subject as observations of an integrated random walk with observational error.
S J, Anderson, R H, Jones
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GACV for quantile smoothing splines

Computational Statistics & Data Analysis, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Smoothed Spline

2001
Piecewise approximation functions are compared to single functions which are defined over entire sets of data. The former are presented as providing close fits to the data and as being desirable for performance of subsequent calculations. The cubic spline is described as a piecewise function with controlled curvature and good continuity conditions over
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Multivariate Smoothing Spline Functions

SIAM Journal on Numerical Analysis, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spline Interpolation and Smoothing on the Sphere

SIAM Journal on Scientific and Statistical Computing, 1981
Motivating his study by some need of the analysis of meteorological data the author solves the following extremal problems: A) minimize the functional \(I_ m(u)\) subject to \(u(P_ i)=z_ i\), \(i=1,...,n\), where \(\{P_ i\}\) are points on the sphere and \(I_ m\) is a natural analogue on the sphere of the functional \(\int^{2\pi}_{0}[u^{(m)}(\theta ...
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Multivariate Smoothing and Interpolating Splines

SIAM Journal on Numerical Analysis, 1974
A theorem that characterizes spline functions that both smooth and interpolate is given. A bivariate generalization is presented which permits interpolation and smoothing of information which is not necessarily on a rectangular grid. A theorem which involves reproducing kernels for Hilbert spaces unifies this theory.
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Contour Smoothing Based on Weighted Smoothing Splines

2006
Here we present a contour-smoothing algorithm based on weighted smoothing splines for contour extraction from a triangular irregular network (TIN) structure based on sides. Weighted smoothing splines are one-variable functions designed for approximating oscillatory data.
Leonor Maria, Oliveira Malva
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Smoothing an arc spline

Computers & Graphics, 2005
Zhong Li, Dereck S. Meek
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