✦ LIBER ✦

Approximation by radial bases and neural networks

✍ Scribed by Xin Li; Charles A. Micchelli

Book ID: 110353434
Publisher: Springer US
Year: 2000
Tongue: English
Weight: 145 KB
Volume: 25
Category: Article
ISSN: 1017-1398
DOI: 10.1023/a:1016685729545

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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Let D/R d be a compact set and let 8 be a uniformly bounded set of D Ä R functions. For a given real-valued function f defined on D and a given natural number n, we are looking for a good uniform approximation to f of the form n i=1 a i , i , with , i # 8, a i # R. Two main cases are considered: (1)

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✍ Y. Makovoz 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 492 KB

Let D be a set with a probability measure +, +(D)=1, and let K be a compact subset of L q (D, +), where the infimum is taken over all g n of the form g n = n i=1 a i , i , with arbitrary , i # K and a i # R. It is shown that for f # conv(K \_ (&K )), under some mild restrictions, \ n ( f, K ) C q =