메뉴 건너뛰기




Volumn 52, Issue 5, 2008, Pages 2292-2310

An overview of statistical decomposition techniques applied to complex systems

Author keywords

Bipartite network; Blind source separation; Complexity; Composition; Entropy; Independent component analysis; Information; Information transfer; Integration; Mutual information; Negentropy; Network component analysis: Principal component analysis; Singular value decomposition

Indexed keywords

BLIND SOURCE SEPARATION; COMPUTATIONAL COMPLEXITY; DATA TRANSFER; ENTROPY; INDEPENDENT COMPONENT ANALYSIS; PRINCIPAL COMPONENT ANALYSIS;

EID: 38149031614     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2007.09.012     Document Type: Article
Times cited : (14)

References (34)
  • 5
    • 0035416239 scopus 로고    scopus 로고
    • Applying the design structure matrix to system decomposition and integration problems: A review and new directions
    • Browning T.R. Applying the design structure matrix to system decomposition and integration problems: A review and new directions. IEEE Trans. Engng. Management 48 3 (2001) 292-306
    • (2001) IEEE Trans. Engng. Management , vol.48 , Issue.3 , pp. 292-306
    • Browning, T.R.1
  • 6
    • 38149028123 scopus 로고    scopus 로고
    • Butterfly, P., Sudbery, A., Szule, J., 2005. Compatibility of subsystem states. Quantum Phys. 3 (arXiv:quant-ph/0407227 v 3 22 Apr 2005).
  • 7
    • 38149074461 scopus 로고    scopus 로고
    • Chung, S., Seabrook, C., 2004. A singular value decomposition: analysis of grade distributions, Georgia Institute of technology, VIGRE REU, 〈http://www.its.caltech.edu/~mason/research/carstep.pdf〉.
  • 8
    • 0028416938 scopus 로고
    • Independent component analysis, a new concept?
    • Comon P. Independent component analysis, a new concept?. Signal Process. 36 (1994) 287-314
    • (1994) Signal Process. , vol.36 , pp. 287-314
    • Comon, P.1
  • 9
    • 38149008581 scopus 로고    scopus 로고
    • Conant, R.G., 1968. Information transfer in complex systems with applications to regulation, unpublished Ph.D. dissertation, University of Illinois.
  • 11
    • 38149033300 scopus 로고    scopus 로고
    • Dall'Aglio, G., 1972. Frechet classes and compatibility of distribution functions. Sympos. Math. 9, 131-150.
  • 12
    • 38149061678 scopus 로고    scopus 로고
    • Donoho, S., 2000. High-dimensional data analysis: the blessings and curses of dimensionality. in: AMS special conference "On mathematical challenges of the 21st century", 6-11 August 2000, UCLA, Los Angeles.
  • 13
    • 0000802374 scopus 로고
    • Approximation of one matrix by another of lower rank
    • Eckart C., and Young G. Approximation of one matrix by another of lower rank. Psychometrika. 1 (1936) 211-218
    • (1936) Psychometrika. , vol.1 , pp. 211-218
    • Eckart, C.1    Young, G.2
  • 14
    • 84878031768 scopus 로고    scopus 로고
    • Fan, J., Li, R., 2006. Statistical challenges with high dimensionality: feature selection in knowledge discovery. The Mathematics Arxive: math. ST/0602133.
  • 15
    • 38149041361 scopus 로고    scopus 로고
    • Gurrera, M.D.C., 2005. Construction of bivariate distributions and statistical dependence operations. Ph. D. Dissertation, Department of Statistics, University of Barcelona.
  • 17
    • 58149421595 scopus 로고    scopus 로고
    • Hotelling, H., 1933. Analysis of a complex of statistical variables with principal components. J. Ed. Psychology. 24, 417-441, 498-520.
  • 18
    • 0042826822 scopus 로고    scopus 로고
    • Independent component analysis: algorithms and applications
    • Hyvarinen A., and Oja E. Independent component analysis: algorithms and applications. Neural Networks 13 (2000) 411-430
    • (2000) Neural Networks , vol.13 , pp. 411-430
    • Hyvarinen, A.1    Oja, E.2
  • 20
    • 38149132074 scopus 로고    scopus 로고
    • Johnson, R.A., Wichern, D.W. 2002. Applied Multivariate Statistical Analysis. fifth ed. Prentice-Hall, Englewood Cliffs, New Jersey.
  • 21
    • 38149005952 scopus 로고    scopus 로고
    • Jolliffe, I.T., 2002. Principal Component Analysis, second ed. Springer, New York.
  • 22
    • 0026191274 scopus 로고
    • Blind separation of sources, part 1: an adaptive algorithm based on neuromimatic architecture
    • Jutten C., and Herault J. Blind separation of sources, part 1: an adaptive algorithm based on neuromimatic architecture. Signal Process. 24 (1991) 1-10
    • (1991) Signal Process. , vol.24 , pp. 1-10
    • Jutten, C.1    Herault, J.2
  • 25
    • 38149039069 scopus 로고    scopus 로고
    • Lawson, C.L., Hanson, R.J., 1995. Solving Least Squares Problems, third ed. SIAM Classics in Appl. Math. vol. 15, Philadelphia.
  • 26
    • 0034207888 scopus 로고    scopus 로고
    • Lee, T.W., Girolami, M., Bell, A.J., Sejnowski, T.J., 2000. A unifying information theoretic framework for independent component analysis. Internat. J. Math. Comput. Modeling 39, 1-21.
  • 29
    • 0000325341 scopus 로고
    • On lines and planes of closest fit to systems of points in space
    • Pearson K. On lines and planes of closest fit to systems of points in space. Philos. Magazine 2 (1901) 559-572
    • (1901) Philos. Magazine , vol.2 , pp. 559-572
    • Pearson, K.1
  • 32
    • 0004146634 scopus 로고
    • Cambridge University Press, Cambridge
    • Schroedinger E. What Is Life? (1944), Cambridge University Press, Cambridge
    • (1944) What Is Life?
    • Schroedinger, E.1
  • 34
    • 0027879547 scopus 로고
    • On the early history of the singular value decomposition
    • Stewart G.W. On the early history of the singular value decomposition. SIAM Rev. 35 4 (1993) 551-566
    • (1993) SIAM Rev. , vol.35 , Issue.4 , pp. 551-566
    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.