articleTop 1% cited
Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks
Neural Networks · 1990 · Vol. 3(5) · pp. 551–560
Kurt Hornik(University of California, San Diego)Maxwell B. Stinchcombe(University of California, San Diego)Halbert White✉(University of California, San Diego)
Neural Networks and ApplicationsMachine Learning and ELMVLSI and FPGA Design TechniquesDifferentiable functionPiecewiseFunction approximationFeed forwardActivation functionFunction (biology)Feedforward neural networkComputer scienceApplied mathematicsDomain (mathematical analysis)
Funding
- National Science Foundation
Citations
2,101
FWCI
32.29
field-weighted impact
References
31
Percentile
100%
vs. same field & year
Citations per year
Cited by
Artificial Neural Network Modeling of the Rainfall‐Runoff Process
Water Resources Research · 1995 · 1,515 citations
Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach
Automatica · 2005 · 1,311 citations
Connectionist nonparametric regression: Multilayer feedforward networks can learn arbitrary mappings
Neural Networks · 1990 · 679 citations
Time series forecasting using a hybrid ARIMA and neural network model
Neurocomputing · 2003 · 4,235 citations
Approximation capabilities of multilayer feedforward networks
Neural Networks · 1991 · 5,992 citations
Neural network forecasting for seasonal and trend time series
European Journal of Operational Research · 2003 · 972 citations
A unified deep artificial neural network approach to partial differential equations in complex geometries
Neurocomputing · 2018 · 631 citations
Online actor–critic algorithm to solve the continuous-time infinite horizon optimal control problem
Automatica · 2010 · 1,590 citations
References
On the approximate realization of continuous mappings by neural networks
Neural Networks · 1989 · 4,195 citations
Probability and Measure.
Journal of the American Statistical Association · 1996 · 6,656 citations
Multilayer feedforward networks are universal approximators
Neural Networks · 1989 · 20,841 citations
Multilayer feedforward networks are universal approximators
Neural Networks · 1989 · 9,346 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.