Hilbertian metrics on probability measures and their application in SVM's

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

Volumn 3175, Issue , 2004, Pages 270-277

  Hein, Matthias ^a   Lai, Thomas Navin ^a   Bousquet, Olivier ^a  

^a MAX PLANCK INSTITUTE FOR BIOLOGICAL CYBERNETICS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSIFICATION (OF INFORMATION); PATTERN RECOGNITION; TEXT PROCESSING;

KERNEL METHODS; PROBABILITY MEASURES; PROBABILITY SPACES; STRUCTURAL INFORMATION; TEXT CLASSIFICATION;

PROBABILITY;

EID: 35048851000     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-28649-3_33     Document Type: Article

References (10)

1. O. Chapelle, P. Haffner, and V. Vapnik. SVMs for histogram-based image classification. IEEE Transactions on Neural Networks, 10:1055-1064, 1999.
2. B. Fuglede. Spirals in Hilbert space. With an application in information theory. To appear in Expositiones Mathematicae, 2004.
3. M. Hein and O. Bousquet. Maximal margin classification for metric spaces. In 16th Annual Conference on Learning Theory (COLT), 2003.
4. T. Jebara and R. Kondor. Bhattacharyya and expected likelihood kernels. In 16th Annual Conference on Learning Theory (COLT), 2003.
5. J. Lafferty and G. Lebanon. Diffusion kernels on statistical manifolds. Technical Report CMU-CS-04-101, School of Computer Science, Carnegie Mellon University, Pittsburgh, 2004.
6. I. J. Schoenberg. Metric spaces and positive definite functions. Trans. Amer. Math. Soc., 44:522-536, 1938.
7. B. Schölkopf. The kernel trick for distances. NIPS, 13, 2000.
8. F. Topsøe. Some inequalities for information divergence and related measures of discrimination. IEEE Trans. Inform. Th., 46:1602-1609, 2000.
9. F. Topsøe. Jenson-shannon divergence and norm-based measures of discrimination and variation. Preprint, 2003.
10. H. Wendland. Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree. Adv. Comp. Math., 4:389-396, 1995.