The cross-validation method in the smoothing spline regression.
Breaz, Nicoleta (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Breaz, Nicoleta (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Numerische Mathematik
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Matematički Vesnik
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Vladimir Bogdanov, Wladimir Karsten, Valeriy Miroshnichenko, Yuriy Volkov (2013)
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A method for solving the inverse kinematic problem of determining the velocity characteristic of a medium from a vertical seismic survey, is proposed. It is based on the combined use of the eikonal equation and spline methods of approximation for multivariable functions. The problem is solved by assuming a horizontally stratified medium; no assumptions about the number of layers and their thickness are made. First, using the data of the first arrival times of the seismic signal from...
Breaz, Nicoleta (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Segeth, Karel
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Spline theory is mainly grounded on two approaches: the algebraic one (where splines are understood as piecewise smooth functions) and the variational one (where splines are obtained via minimization of quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the well known tension spline (called also spline in tension or spline with tension). We present the...
Jiří Kobza, Jan Mlčák (1994)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Udovičić, Zlatko (2010)
Mathematica Balkanica New Series
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AMS Subj. Classification: 65D07, 65D30. We gave a short review of several results which are related to the role of splines (cardinal, centered or interpolating) in numerical integration. Results deal with the problem of approximate computation of the integrals with spline as a weight function, but also with the problem of approximate computation of the integrals without weight function. Besides, we presented an algorithm for calculation of the coefficients of the polynomials...