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Approximation of functions by perceptrons: a new approach

✍ Scribed by Jean-Gabriel Attali; Gilles Pagès

Publisher
Springer US
Year
1995
Tongue
English
Weight
200 KB
Volume
2
Category
Article
ISSN
1370-4621

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✍ A Jiménez-Vargas; J.F Mena-Jurado; J.C Navarro-Pascual 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 130 KB

For T a topological space and X a real normed space, Y=C(T, X) denotes the space of continuous and bounded functions from T into X endowed with the sup norm. We calculate a formula for the distance :( f ) from f in Y to the set Y &1 of functions in Y which have no zeros. Namely, we prove that :( f )