The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Networks for approximation and learning
Abstract
The problem of the approximation of nonlinear mapping, (especially continuous mappings) is considered. Regularization theory and a theoretical framework for approximation (based on regularization techniques) that leads to a class of three-layer networks called regularization networks are discussed. Regularization networks are mathematically related to the radial basis functions, mainly used for strict interpolation tasks. Learning as approximation and learning as hypersurface reconstruction are discussed. Two extensions of the regularization approach are presented, along with the approach's corrections to splines, regularization, Bayes formulation, and clustering. The theory of regularization networks is generalized to a formulation that includes task-dependent clustering and dimensionality reduction. Applications of regularization networks are discussed.>
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Cites
Approximation by superpositions of a sigmoidal function
Cybenko, G. (1989) · Mathematics of Control, Signals, and Systems · doi:10.1007/bf02551274 · Cited by 13,883
Self-organized formation of topologically correct feature maps
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The coordination of arm movements: an experimentally confirmed mathematical model
Flash, T., & Hogan, N. (1985) · The Journal of Neuroscience · doi:10.1523/jneurosci.05-07-01688.1985 · Cited by 4,395
Spline Models for Observational Data
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McClelland, J. L., Rumelhart, D. E., & AU (1987) · doi:10.7551/mitpress/5237.001.0001 · Cited by 3,315
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A theory of cerebellar function
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On the capabilities of multilayer perceptrons
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Cited by
Gaussian Processes for Machine Learning
Rasmussen, C. E., & Williams, C. K. I. (2005) · doi:10.7551/mitpress/3206.001.0001 · Cited by 11,705
Estimating the Support of a High-Dimensional Distribution
Schölkopf, B., Platt, J. C., Shawe-Taylor, J., Smola, A. J., & Williamson, R. C. (2001) · Neural Computation · doi:10.1162/089976601750264965 · Cited by 6,168
Adaptive representation of dynamics during learning of a motor task
Shadmehr, R., & Mussa-Ivaldi, F. (1994) · The Journal of Neuroscience · doi:10.1523/jneurosci.14-05-03208.1994 · Cited by 2,612
Fuzzy logic systems for engineering: a tutorial
Mendel, J. M. (1995) · Proceedings of the IEEE · doi:10.1109/5.364485 · Cited by 2,110
(2010) · doi:10.5555/1756006.1859921 · Cited by 1,924
Metadata
- Authors
- Poggio, T., & Girosi, F.
- Venue
- Proceedings of the IEEE
- Published
- 1990
- Volume
- 78
- Issue
- 9
- Pages
- 1481-1497
- ISSN
- 0018-9219 (ISSN-L)
- OpenAlex
- W2143956139
- Cited by
- 3,252
- References
- 9
- FWCI
- 66.08
- Type
- journal article
- Language
- en
- Open access
- closed
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