Approximation with neural networks activated by ramp sigmoids-Reference-Cited by-同舟云学术

Approximation with neural networks activated by ramp sigmoids

Published:2010-08 Issue:8 Volume:162 Page:1450-1465
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Cheang Gerald H.L.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference21 articles.

1. Geometric applications of Chernoff-type estimates and a zigzag approximation for balls;Artstein-Avidan;Proc. Amer. Math. Soc.,2005

2. A.R. Barron, Neural net approximation, in: K.S. Narendra (Ed.), Proc. of the 7th Yale Workshop on Adaptive and Learning Systems, Center for System Science, Yale University, 1992, pp. 69–72.

3. Universal approximation bounds for superpositions of a sigmoidal function;Barron;IEEE Trans. Inform. Theory,1993

4. A better approximation for balls;Cheang;J. Approx. Theory,2000

5. Approximations by superpositions of a sigmoidal function;Cybenko;Math. Control Signals Systems,1989

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