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Fundamentality of Ridge Functions

✍ Scribed by V.Y. Lin; A. Pinkus

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
469 KB
Volume
75
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

Interpolation by Ridge Functions
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✍ D. Braess; A. Pinkus πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 615 KB

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}

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✍ Martin D Buhmann; Allan Pinkus πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 109 KB

This paper is about an inverse problem. We assume we are given a function f x m Ž i . which is some sum of ridge functions of the form Ý g a и x and we just know an upper bound on m. We seek to identify the functions g and also to identify the i directions a i from such limited information. Several