Some applications of interval analysis to statistical problems

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

Volumn 4507 LNCS, Issue , 2007, Pages 564-579

  Vigneron, Vincent ^a,b  

^a UNIVERSITÉ D EVRY VAL D ESSONNE   (France)

^b Centre National de la Recherche Scientifique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; PROBLEM SOLVING; SET THEORY; STATISTICAL METHODS;

COMPUTATIONAL EFFORT; INTERVAL ANALYSIS; MULTI-MODAL CRITERIA; STATISTICAL PROBLEMS;

APPROXIMATION THEORY;

EID: 38049125967     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-73007-1_69     Document Type: Conference Paper

References (14)

1. Jaulin, L., Kieffer, M., Didrit, O., Walter, E.: Applied interval analysis. Springer, Paris (2001)
2. Vigneron, V., Olteanu, M., Maaref, H.: Identification of fuzzy functions via interval analysis. Fuzzy Sets and Systems, to be published (2007)
3. Moore, R.E.: Interval analysis. Prentice Hall, New York (1966)
4. Loslever, P., Bouilland, S.: Marriage of fuzzy sets and multiple correspondence analysis, exemples with subjective interval data and biomedical signals. Fuzzy Sets, and Systems 107, 255-275 (1999)
5. Jaulin, L., Walter, E.: Guaranteed nonlinear parameter estimation from bound-error data via interval analysis. Mathematics and Computers in Simulation 35(2), 123-137 (1993)
6. Walter, E. (ed.): Special issue on parameter identification with error bounds, vol. 32 (1990)
7. Jaulin, L.: Solution globale et garantie de problèmes ensemblistes. Application á l'estimation non-linéaire et ála commande robuste. Phd thesis, Université Paris-Sud, Orsay, France (1994)
8. Norton, J.P.: Special issue on bounded-error estimation. In: International Symposium Control and Signal Processing (1), pp. 1-118 (1990)
9. Kreyszig, E.: Differential geometry. Dover (1991)
10. Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Nature. Learning representations by backpropagating errors, 323, 533-536 (1986)
11. Vigneron, V., Jutten, J.: Bounded approximation for score fonction selection. In: Proceedings ICA'2003, pp. 119-124 (April 2003)
12. G. Darmois. Analyse générale des liaisons stochastiques. Rev. Inst. Intern. Stat., 21:2-8 (in french) (1953)
13. Herault, J., Jutten, C.C.: Space ot time adaptative signal processing by neural network models. In: Neural networks for computing, Snowbird (1986)
14. Macchi, O., Moreau, E.: Self-adaptive source separation, part i: Covergence analysis of a direct linear network controled by the herault-jutten algorithm. IEEE Trans. on Signal Processing, 45(4) (April 1997)