Approximation by superpositions of a sigmoidal function

Zeitschrift für Analysis und ihre Anwendungen

Volumn 22, Issue 2, 2003, Pages 463-470

  Lewicki, G ^a   Marino, G ^b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b UNIVERSITY OF CALABRIA   (Italy)

Author keywords

H lder continuity property; Sigmoidal function; Uniform approximation; variation

Indexed keywords

EID: 0041829446     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/1156     Document Type: Article

References (5)

1. Barren, A. R.: Universal approximation bounds for superpositions of a sigmoidal function. IEEE Trans. Inf. Theory 36 (1993), 930 - 945.
2. Cybenko, G.: Approximations by superpositions of a sigmoidal function. Math. Control Signal Systems 2 (1989, 303 - 314.
3. Hornik, K., Stinchcombe, M. and H. White: Multilayer feedforward networks are universal approximators. Neural Networks 2 (1989), 259 - 366.
4. Gao, B. and Y. Xu: Univariant approximation by superpositions of a sigmoidal function. J. Math. Anal. & Appl. 178 (1993), 221 - 226.
5. Jones, L. K.: A simple lemma on greedy approximation in Hubert space and convergence rate for projections pursuit regression and neural network training. Ann. Statist. 20 (1992), 608 - 613.