The mutual information: Detecting and evaluating dependencies between variables

Bioinformatics

Volumn 18, Issue SUPPL. 2, 2002, Pages

  Steuer, R ^a   Kurths, J ^a   Daub, C O ^b   Weise, J ^b   Selbig, J ^b  

^a UNIVERSITY OF POTSDAM   (Germany)

^b MAX PLANCK INSTITUTE OF MOLECULAR PLANT PHYSIOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; CLUSTER ANALYSIS; CONFERENCE PAPER; CORRELATION ANALYSIS; GENE CLUSTER; GENE EXPRESSION; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL;

EID: 0042526388     PISSN: 13674803     EISSN: 13674811     Source Type: Journal    
DOI: 10.1093/bioinformatics/18.suppl_2.S231     Document Type: Conference Paper

References (27)

1. Brazma,A. and Vilo,J. (2000) Gene expression data analysis. FEBS Lett., 480, 17-24.
2. Butte,A. and Kohane,I.S. (2000) Mutual information relevance networks: Functional genomic clustering using pairwise entropy measurements. Pac. Symp. Biocomput., 5, 415-426.
3. Cover,T.M. and Thomas,J.A. (1991) Elements of Information Theory. Wiley, New York.
4. Daub,C.O., Weise,J., Steuer,R., Kopka,J. and Kloska,S. (2002) Using b-spline functions to introduce fuzzyness to mutual information based analysis of gene-expression data. (manuscript in preparation).
5. D'haeseleer,P., Liang,S. and Somogyi,R. (2000) Genetic network inference: from co-expression clustering to reverse engineering. Bioinformatics, 16, 707-726.
6. Eisen,M.B., Spellman,P.T., Brown,P.O. and Botstein,D. (1998) Cluster analysis and display of genome-wide expression patterns. Proc. Natl Acad. Sci. USA, 95, 14863-14868.
7. Faser,A.M. and Swinney,H.L. (1986) Independent coordinates for strange attractors from mutual information. Phys. Rev. A, 33, 2318-2321.
8. Grassberger,P. (1988) Finite sample corrections to entropy and dimension estimates. Phys. Lett. A, 128, 369.
9. Grosse,I. (1996) Estimating entropies from finite samples. In Freund,JanA. (ed.), Dynamik-Evolution-Strukturen. Dr. Koster.
10. Herzel,H. and Grosse,I. (1995) Measuring correlations in symbols sequences. Physica A, 216, 518-542.
11. Herzel,H., Schmitt,A.O. and Ebeling,W. (1994) Finite sample effects in sequence analysis. Chaos, Solitons and Fractals, 4, 97-113.
12. Hughes,T.R., Marton,M.J., Jones,A.R., Roberts,C.J., Stoughton,R., Armour,C.D., Bennett,H.A., Coffey,E., Dai,H., He,Y.D., Kidd,M.J., King,A.M, Meyer,M.R., Slade,D., Lum,P.Y., Stepaniants,S.B., Shoemaker,D.D., Gachotte,D., Chakraburtty,K., Simon,J., Bard,M. and Friend,S.H. (2000) Functional discovery via a compendium of expression profiles. Cell, 102, 109-126. see http://www.rii.com/publications/cell_hughes.htm for additional information.
13. Kolmogorov,A.N. (1968) Logical basis for information theory and probability theory. IEEE Trans. Information Theor., 14, 662-664.
14. Kullback,S. (1959) Information Theory and Statistics. Wiley, New York.
15. Michaels,G., Carr,D., Askenazi,M., Fuhrman,S., Wen,X. and Somogyi,R. (1998) Cluster analysis and data visualization of large-scale gene expression data. Pac. Symp. Biocomput., 3, 42-53.
16. Moon,Y., Rajagopalan,B. and Lall,U. (1995) Estimation of mutual information using kernel density estimators. Phys. Rev. E, 52, 2318-2321.
17. Nature (1999) The chipping forecast. Nature Genet. (suppl.), 21, 1-60.
18. Paluš,M. (1993) Identifying and quantifying chaos by using information-theoretic functionals. In Weigend,A.S. and Gershenfeld,N.A. (eds), Time Series Prediction: Forecasting the Future and Understanding the past, SFI Studies in the Sciences of Complexity, Proc. Vol. XV, Addison Wesley.
19. Rapp,P.E., Zimmerman,I.D., Vining,E.P., Cohen,N., Albano,A.M. and Jimenez-Montano,M.A. (1994) The algorithmic complexity of neural spike trains increases during focal seizures. J. Neurosci., 14, 4731-4739.
20. Roulston,M.S. (1999) Estimating the errors on measured entropy and mutual information. Physica D, 125, 285-294.
21. Samoilov,M., Arkin,A. and Ross,J. (2001) On the deduction of chemical reaction pathways from measurements of time series of concentrations. Chaos, 11, 108-114.
22. Schena,M., Shalon,D., Davis,R.W. and Brown,P.O. (1995) Quantitative monitoring of gene expression patterns with a complementary DNA microarray. Science, 270, 467-470.
23. Schreiber,T. and Schmitz,A. (2000) Surrogate time series. Physica D, 142, 346-382.
24. Shannon,C.E. (1948) A mathematical theory of communication. The Bell System Technical Journal, 27, 379-423.
25. Shannon,C.E. The Bell System Technical Journal, ibid, 623-656
26. Silverman,B.W. (1986) Density Estimation for Statistics and Data Analysis. Chapman and Hall, London.
27. Theiler,J., Eubank,S., Longtin,A., Galdrikian,B. and Farmer,J.D. (1992) Testing for nonlinearity in time series: the method of surrogate data. Physica D, 58, 77.