Approximation order to a function in \(\overline C({\mathbb R})\) by superposition of a sigmoidal function

DOI10.1016/S0893-9659(02)80011-8zbMath0997.41010OpenAlexW1988690272MaRDI QIDQ1609519

Nahmwoo Hahm, Bum Il Hong

Publication date: 15 August 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(02)80011-8

zbMATH Keywords

superpositionsigmoidal function

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items

Constructive Approximation of Continuous Interval-Valued Functions, Neural network operators: constructive interpolation of multivariate functions, Solving Volterra integral equations of the second kind by sigmoidal functions approximation, Approximation results for neural network operators activated by sigmoidal functions, Multivariate neural network operators with sigmoidal activation functions, A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions, Interpolation by neural network operators activated by ramp functions, Approximation by series of sigmoidal functions with applications to neural networks, Approximation of functions of finite variation by superpositions of a sigmoidal function.

Cites Work

• Extension of localised approximation by neural networks
• Universal approximation bounds for superpositions of a sigmoidal function
• Approximation by superpositions of a sigmoidal function
• Unnamed Item