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Keyword

universal approximation

Description: The ability of a class of models, especially neural networks, to approximate a broad range of functions to arbitrary accuracy under suitable conditions.
OpenAlex ID: keywords/universal-approximation
Multilayer feedforward networks are universal approximators
1989 · Kurt Hornik, Maxwell Stinchcombe, et al. · Neural Networks · 21,660
Approximation by superpositions of a sigmoidal function
1989 · G. Cybenko · Mathematics of Control Signals and Systems · 13,861
Multilayer feedforward networks are universal approximators
1989 · HornikK., StinchcombeM., et al. · Neural Networks · 9,081
Approximation capabilities of multilayer feedforward networks
1991 · Kurt Hornik · Neural Networks · 6,084
On the approximate realization of continuous mappings by neural networks
1989 · Ken-Ichi Funahashi · Neural Networks · 4,203
Universal Approximation Using Radial-Basis-Function Networks
1991 · J. Park, I. W. Sandberg · Neural Computation · 4,116
Universal approximation bounds for superpositions of a sigmoidal function
1993 · A.R. Barron · IEEE Transactions on Information Theory · 2,805
Fuzzy basis functions, universal approximation, and orthogonal least-squares learning
1992 · L.-X. Wang, J.M. Mendel · IEEE Transactions on Neural Networks · 2,797
Universal Approximation using Incremental Constructive Feedforward Networks with Random Hidden Nodes
2006 · Guang-Bin Huang, Lei Chen, et al. · IEEE Transactions on Neural Networks · 2,614
Multilayer feedforward networks with a nonpolynomial activation function can approximate any function
1993 · Moshe Leshno, Vladimir Ya. Lin, et al. · Neural Networks · 2,119
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Fuzzy logic systems for engineering: a tutorial
1995 · J.M. Mendel · Proceedings of the IEEE · 2,117
Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks
1990 · Kurt Hornik, Maxwell Stinchcombe, et al. · Neural Networks · 2,112
Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions
2001 · Jerry M. Mendel · 1,903
Trends in extreme learning machines: A review
2014 · Gao Huang, Guang-Bin Huang, et al. · Neural Networks · 1,734
Approximation theory of the MLP model in neural networks
1999 · Allan Pinkus · Acta Numerica · 1,536
Big Bird: Transformers for Longer Sequences
2020 · Zaheer, Manzil, Guruganesh, Guru, et al. · arXiv (Cornell University) · 1,321
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Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems
1995 · Tianping Chen, Hong Chen · IEEE Transactions on Neural Networks · 1,223
Convex incremental extreme learning machine
2007 · Guang-Bin Huang, Lei Chen · Neurocomputing · 1,139
Fuzzy systems are universal approximators
2003 · L.-X. Wang · Proceedings of ... IEEE International Conference on Fuzzy Systems · 1,074
Stochastic choice of basis functions in adaptive function approximation and the functional-link net
1995 · B. Igelnik, Yoh-Han Pao · IEEE Transactions on Neural Networks · 957
Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations
2017 · Raissi, Maziar, Perdikaris, Paris, et al. · arXiv (Cornell University) · 956
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Fuzzy systems as universal approximators
1994 · B. Kosko · IEEE Transactions on Computers · 950
Enhanced random search based incremental extreme learning machine
2007 · Guang-Bin Huang, Lei Chen · Neurocomputing · 891
Representational Power of Restricted Boltzmann Machines and Deep Belief Networks
2008 · Nicolas Le Roux, Yoshua Bengio · Neural Computation · 820
Approximation and Radial-Basis-Function Networks
1993 · Jooyoung Park, Irwin W. Sandberg · Neural Computation · 817
Works count: 2,644
Citation count: 139,400
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