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Interpolation by Ridge Functions

โœ Scribed by D. Braess; A. Pinkus


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
615 KB
Volume
73
Category
Article
ISSN
0021-9045

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โœฆ Synopsis


We consider the problem of interpolation by linear combinations of ridge functions. A ridge function is a function of the form (f(\mathbf{a} \cdot \mathbf{x})) where (f: \mathbb{R} \rightarrow \mathbb{R}, \mathbf{a} \in \mathbb{R}^{d} \backslash{\mathbf{0}}) is a fixed vector, and (\mathbf{x} \in \mathbb{R}^{d}) is the variable. The solvability of the interpolation problem is characterized by geometric properties. 1993 Academic Press. Inc.


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