Dirichlet component analysis: Feature extraction for compositional data

Proceedings of the 25th International Conference on Machine Learning

Volumn , Issue , 2008, Pages 1128-1135

  Wang, Hua Yan ^a   Yang, Qiang ^b   Qin, Hong ^c   Zha, Hongbin ^a  

^a PEKING UNIVERSITY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^c Stony Brook University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPONENT ANALYSIS; COMPOSITIONAL DATUMS; DATA COMPONENTS; DATA SETS; DATA VECTORS; DIMENSIONALITY REDUCTIONS; DIRICHLET; PRINCIPLE COMPONENT ANALYSIS; STATISTICAL PROPERTIES; TRADITIONAL TECHNIQUES; COMPOSITIONAL DATUM; DIMENSIONAL SPACES; REAL-WORLD DATASETS; REAL-WORLD PROBLEMS; THEORETICAL FOUNDATIONS;

FEATURE EXTRACTION; LEARNING SYSTEMS; REAL TIME SYSTEMS; ROBOT LEARNING;

DATA REDUCTION;

EID: 56449088321     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. Aitchison, J. (1982). "The statistical analysis of compositional data", Journal of the Royal Statistical Society. Series B (Methodological), Vol.44, No.2, pp.139-177
2. Aitchison, J. (1983). "Principal component analysis for compositional data", Biometrika, Vol.70, No.1, pp.57-65
3. Blei, D.M., Ng, A.Y., Jordan, M.I. (2003). "Latent Dirichlet allocation", Journal of Machine Learning Research, 3, pp.993-1022
4. Goldberg, D.E. and Holland, J.H. (1988) "Genetic Algorithms and Machine Learning", Machine Learning Volume 3, Numbers 2-3.
5. Hyvärinen, A., Karhunen, J., Oja, E. (2001). "Independent Component Analysis", John Wiley & Sons.
6. Lebanon, G. (2003). "Learning Riemannian metrics", In Proceedings of the 19th UAI
7. Minka, T.P. (2003) "Estimating a Dirichlet distribu& tion", Technical Report, Microsoft Research
8. Pawlowsky-Glahn, V. and Egozcue, J.J. (2001). "Ge& ometric approach to statistical analysis on the simplex", Stochastic Environ. Res. Risk Assess. (SERRA), v.15, no.5, pp.384-398.
9. Pearson, K. (1896). "On a form of spurious correla& tion which may arise when indices are used in the measurements of organs", Proceedings of the Royal Society of London, 60, pp.489-502
10. Pearson, K. (1901). "On lines and planes of closest fit to systems of points in space", Philosophical Magazine, 2, (6), pp.559-572
11. Roweis, S. and Saul, L. (2000). "Nonlinear Dimension& ality Reduction by Locally Linear Embedding", Science, 290, pp.2323-2326
12. Schölkopf, B., Smola, A., Müller, K.R. (1998). "Non-& linear component analysis as a kernel eigenvalue problem", Neural Computation, Vol 10, p.1299-& 1319,
13. Tenenbaum, J., Silva, V., Langford, J. (2000). "A global geometric framework for nonlinear dimen& sionality reduction", Science, 290, pp.2319-2323
14. Tolosana-Delgado, R., Otero, N., Pawlowsky-& Glahn, V. and Soler, A. (2005). "Latent Composi& tional Factors in the Llobregat River Basin (Spain) Hydrogeochemistry", Mathematical Geology, Vol.37, No.7, pp.681-702
15. Wang, H.-Y., Zha, H., Qin, H. (2007). "Dirichlet ag& gregation: unsupervised learning towards an opti& mal metric for proportional data", In Proceedings of the 24th ICML
16. Welling, M., Rosen-Zvi, M., Hinton, G. (2004). "Ex& ponential family harmoniums with an application to information retrieval", In NIPS, volume 16