Results 31 to 40 of about 66 (66)
Splines on Riemannian Manifolds and a Proof of a Conjecture by Wahba
, 1999 This paper extends spline methods to compact Riemannian manifolds in an rkhs setting. The approach is to use the mathematical framework of rkhs, along with integrating spectral geometry associated with compact Riemannian manifolds.
Peter T. Kim
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Constrained Smoothing Splines Revisited
, 1997 In some regression settings one would like to combine the flexibility of nonparametric smoothing with some prior knowledge about the regression curve. Such prior knowledge may come from a physical or economic theory, leading to shape constraints such as ...
Berwin A. Turlach
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Computational aspects of multivariate Polynomial Interpolation
, 1995 The paper is concerned with the practical implementation of two methods to compute the solution of polynomial interpolation problems. In addition to a description of the implementation, practical results and several improvements will be discussed ...
Thomas Sauer
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Variation reduction and LULU-Smoothing
, 2004 In the space of absolutely summable sequences the total variation of a sequence becomes a natural norm, and is a measure of smoothness. This norm is preserved by the so-called LULU-smoothers, in that the variation of the image plus the variation of the ...
Rohwer, CH
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A Modified Prony Algorithm For Exponential Function Fitting
, 1995 . A modification of the classical technique of Prony for fitting sums of exponential functions to data is considered. The method maximizes the likelihood for the problem (unlike the usual implementation of Prony's method, which is not even ...
M. R. Osborne, G. K. Smyth
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On the Approximation Power of Bivariate Splines
, 1996 . We show how to construct stable quasi-interpolation schemes in the bivariate spline spaces S r d (4) with d 3r+2 which achieve optimal approximation order.
Larry L. Schumaker, Ming-jun Lai
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Construction Techniques for Highly Accurate Quasi-Interpolation Operators
, 1996 : Under mild additional assumptions this paper constructs quasi-interpolants in the form f h (x) = +1 X j=\Gamma1 f(hj)' h i x h \Gamma j j ; x 2 IR; h ?
Zongmin Wu, Robert Schaback, R. Schaback
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The hat matrix for smoothing splines
The matrix which transforms the data vector to the vector of fitted values for smoothing splines is termed the hat matrix. This matrix is shown to have many of the same properties, and is seen to play the same role in the variances and covariances of the
Eubank, R. L.
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Scattered Data Interpolation Using C² Supersplines Of Degree Six
, 1995 . We show how C 2 supersplines of degree 6 can be used to interpolate Hermite data at the vertices of a quadrangulation. We also present error bounds which show that our method has full approximation order 7, and compare its efficiency with other C 2
Larry Schumaker, Ming-jun Lai
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, 2001 We present a new approach to the classi cation problem arising in data mining. It is based on the regularization network approach but, in contrast to the other methods which employ ansatz functions associated to data points, we use a grid in the usually ...
M. Griebel, M. Thess, J. Garcke
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