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- W1963944982 abstract "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)}. ] The procedure is nonlinear in that not only the spline coefficients but also the linear combinations are optimized for the particular problem. The sample need not lie on a regular grid, and the approximation is affine invariant, smooth, and lends itself to graphical interpretation. Function values, derivatives, and integrals are inexpensive to evaluate." @default.
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- W1963944982 date "1983-06-01" @default.
- W1963944982 modified "2023-10-18" @default.
- W1963944982 title "Multidimensional Additive Spline Approximation" @default.
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- W1963944982 doi "https://doi.org/10.1137/0904023" @default.
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