Multi-Layer Perceptrons for functional data analysis: A projection based approach

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2415 LNCS, Issue , 2002, Pages 667-672

  Conan Guez, Brieuc ^a   Rossi, Fabrice ^b  

^a INRIA   (France)

^b UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS; NEURAL NETWORKS;

DIRECT MANIPULATION; FUNCTIONAL DATA ANALYSIS; FUNCTIONAL INPUTS; INPUT FUNCTIONS; MULTI-LAYER PERCEPTRONS; NATURAL EXTENSION; UNIVERSAL APPROXIMATION PROPERTIES; WEIGHT FUNCTIONS;

NEURAL NETWORKS; CYBERNETICS;

EID: 78149359833     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-46084-5_109     Document Type: Conference Paper

References (9)

1. Christophe Abraham, Pierre-André Cornillon, Eric Matzner-Lober, and Nicolas Molinari. Unsupervised curve clustering using b-splines. Technical Report 00-04, ENSAM-INRA-UM 11-Montpellier, October 2001.
2. Andrew R. Barron. Universal Approximation Bounds for Superpositions of a Sigmoidal Function. IEEE Trum. Information Theory, 39(3):930-945, May 1993.
3. Helga Bunke and Olaf Bunke, editors. Nonlinear Regression, Functional Relations and Robust Methods, volume II of Series in Probability and Mathematical Statistics. Wiley, 1989.
4. Brieuc Conan-Guez and Fabrice Rossi. Projection based functional multi layer perceptrons. Technical report, LISE/CEREMADE & INRIA, http://www.ceremade.dauphine.fr/, february 2002.
5. Jim Ramsay and Bernard Silverman. Functional Data Analysis. Springer Series in Statistics. Springer Verlag, June 1997.
6. Fabrice Rossi, Brieuc Conan-Guez, and François Fleuret. Functional data analysis with multi layer perceptrons. In IJCNN 2002/WCCI 2002, volume 3, pages 2843-2848. IEEE/NNS/INNS, May 2002.
7. Fabrice Rossi, Brieuc Conan-Guez, and Fraqois Fleuret. Theoretical properties of functional multi layer perceptrons. In ESANN 2002, April 2002.
8. Maxwell B. Stinchcombe. Neural network approximation of continuous functionals and continuous functions on compactifications. Neural Networks, 12(3):467-477, 1999.
9. Halbert White. Learning in Artificial Neural Networks: A Statistical Perspective. Neural Computation, 1(4):425-464, 1989.