Results 11 to 20 of about 93,759 (275)
Multidimensional Additive Spline Approximation [PDF]
SIAM Journal on Scientific and Statistical Computing, 1983 We describe an adaptive procedure that approximates a function of many variables by a sum of (univariate) spline functions $s_m $ of selected linear combinations $a_m \cdot x$ of the coordinates \[ \phi (x) = \sum_{1 \leqq m \leqq M} {s_m ( a_m \cdot x)}.
Friedman, Jerome H. +2 more
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Approximation by Conic Splines [PDF]
Mathematics in Computer Science, 2007 We show that the complexity of a parabolic or conic spline approximating a sufficiently smooth curve with non-vanishing curvature to within Hausdorff distance $\varepsilon$ is $c_1\varepsilon^{-\frac{1}{4}} + O(1)$, if the spline consists of parabolic arcs, and $c_2\varepsilon^{-\frac{1}{5}} + O(1)$, if it is composed of general conic arcs of varying ...
Ghosh, Sunayana +2 more
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Biquadratic Spline Approximations
Publications of the Research Institute for Mathematical Sciences, 1984 We shall consider two kinds of spline approximations over a uniform mesh. The first of them is mid-point spline interpolation and the second is histospline approximation. Our methods don't need any knowledge of derivative values, that is, end conditions are homogeneous ones dealing with function values.
Sakai, Manabu, Usmani, Riaz A.
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Polynomial spline-approximation of Clarke's model [PDF]
, 2004 We investigate polynomial spline approximation of stationary random processes on a uniform grid applied to Clarke's model of time variations of path amplitudes in multipath fading channels with Doppler scattering. The integral mean square error (MSE) for
Adlard, J F, Tozer, T C, Zakharov, Y V
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Smoothing data series by means of cubic splines: quality of approximation and introduction of a repeating spline approach [PDF]
Atmospheric Measurement Techniques, 2017 Cubic splines with equidistant spline sampling points are a common method in atmospheric science, used for the approximation of background conditions by means of filtering superimposed fluctuations from a data series.
S. Wüst +7 more
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Simultaneous Approximation of a Multivariate Function and its Derivatives by Multilinear Splines [PDF]
, 2013 In this paper we consider the approximation of a function by its interpolating multilinear spline and the approximation of its derivatives by the derivatives of the corresponding spline.
Anderson, Ryan +2 more
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Mathematics, 2019 The B-spline function representation is commonly used for data approximation and trajectory definition, but filter-based methods for nonlinear weighted least squares (NWLS) approximation are restricted to a bounded definition range.
Jens Jauch +3 more
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Boosting Additive Models using Component-wise P-Splines [PDF]
, 2007 We consider an efficient approximation of Bühlmann & Yu’s L2Boosting algorithm with component-wise smoothing splines. Smoothing spline base-learners are replaced by P-spline base-learners which yield similar prediction errors but are more advantageous ...
Hothorn, Torsten, Schmid, Matthias
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Optimal Approximation of Biquartic Polynomials by Bicubic Splines
EPJ Web of Conferences, 2018 Recently an unexpected approximation property between polynomials of degree three and four was revealed within the framework of two-part approximation models in 2-norm, Chebyshev norm and Holladay seminorm.
Kačala Viliam, Török Csaba
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Neutrosophic B-spline Surface Approximation Model for 3-Dimensional Data Collection [PDF]
Neutrosophic Sets and SystemsSince there are threei membershipi functions: truth, false, and indeterminacyi, geometrical modelingi for B-spline surface approximation including neutrosophic data is particularly difficult to construct.
Siti Nur Idara Rosli +2 more
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