GeoEntropy: A measure of complexity and similarity

Pattern Recognition

Volumn 43, Issue 3, 2010, Pages 887-896

  Pham, Tuan D ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Classification; Complexity; Entropy; Geostatistics; Prediction; Similarity

Indexed keywords

COMPLEXITY; EFFECTIVE ALGORITHMS; GEO-STATISTICS; GEOSTATISTICAL; INFORMATION CONTENTS; INFORMATION MEASURES; NOVEL CONCEPT; SYSTEMS COMPLEXITY;

ENTROPY;

EID: 70449713330     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2009.08.015     Document Type: Article

References (30)

1. Shannon C.E. A mathematical theory of communication. Bell Syst. Tech. J. 27 (1948) 379-423 and 623-656
2. Jaynes E.T. Information theory and statistical mechanics. Phys. Rev. 106 (1957) 620-630
3. Schürmann T., and Grassberger P. Entropy estimation of symbol sequences. Chaos 6 (1996) 414-427
4. Applebaum D. Probability and Information (1996), Cambridge University Press, Cambridge
5. Shannon C., and Weaver W. The Mathematical Theory of Information (1949), University of Illinois Press, Champaign, IL
6. De Luca A., and Termini S. A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Inf. Control 20 (1972) 301-312
7. Pincus S.M. Approximate entropy as a measure of system complexity. Proc. Natl. Acad. Sci. USA 88 (1991) 2297-2301
8. Richman J.S., and Moorman J.R. Physiological time-series analysis using approximate entropy and sample entropy. Am. J. Physiol. Heart Circ. Physiol. 278 (2000) H2039-H2049
9. Costa M., Goldberger A.L., and Peng C.K. Multiscale entropy analysis of complex physiologic time series. Phys. Rev. Lett. 89 (2002) 068102-1-068102-4
10. Lewis M.J., and Short A.L. Sample entropy of electrocardiographic RR and QT time-series data during rest and exercise. Physiol. Meas. 28 (2007) 731-744
11. Pincus S.M., and Goldberger A.L. Physiological time-series analysis: What does regularity quantify?. Am. J. Physiol. 4 (1994) H1643-H1656
12. Pincus S. Approximate entropy as a complexity measure. Chaos 5 (1995) 110-117
13. Lu S., Chen X., Kanters J.K., Solomon I.C., and Chon K.H. Automatic selection of the threshold value r for approximate entropy. IEEE Trans. Biomed. Eng. 55 (2008) 1966-1972
14. Matheron G. Estimating and Choosing (1989), Springer, Berlin
15. Wackernagel H. Multivariate Geostatistics (2003), Springer, Berlin
16. Davis J.C. Statistics and Data Analysis in Geology. third ed. (2002), Wiley, New York
17. Isaaks E.H., and Srivastava R.M. An Introduction to Applied Geostatistics (1989), Oxford University Press, New York
18. Cosic I. Macromolecular bioactivity: Is it resonant interaction between macromolecules?-Theory and applications. IEEE Trans. Biomed. Eng. 41 (1994) 1101-1114
19. de Trad C.H., Fang Q., and Cosic I. Protein sequence comparison based on the wavelet transform approach. Protein Eng. 15 (2002) 193-203
20. Pham T.D., and Zuegg J. A probabilistic measure for alignment-free sequence comparison. Bioinformatics 20 (2004) 3455-3461
21. Krane D.E., and Raymer M.L. Fundamental Concepts of Bioinformatics (2003), Benjamin Cummings, San Francisco
22. Miller W. Comparison of genomic DNA sequences: solved and unsolved problems. Bioinformatics 17 (2001) 391-397
23. Costa M., Goldberger A.L., and Peng C.-K. Multiscale entropy analysis of biological signals. Phys. Rev. E 71 (2005) 021906-1-021906-18
24. 〈http://www.ncbi.nlm.nih.gov/Entrez〉.
25. 〈http://home.ccr.cancer.gov/ncifdaproteomics/ppatterns.asp〉.
26. Adam B.L., Vlahou A., Semmes O.J., and Wright Jr. G.L. Proteomic approaches to biomarker discovery in prostate and bladder cancers. Proteomics 1 (2001) 1264-1270
27. Goldberger A.L., Peng C.-K., and Lipsitz L.A. What is physiologic complexity and how does it change with aging and disease?. Neurobiol. Aging 23 (2002) 23-26
28. Goldberger A.L., Amaral L.A.N., Hausdorff J.M., Ivanov P.Ch., Peng C.-K., and Stanley H.E. Fractal dynamics in physiology: alterations with disease and aging. Proc. Natl. Acad. Sci. USA 99 Suppl. 1 (2002) 2466-2472
29. Yu J.S., Ongarello S., Fiedler R., Chen X.W., Toffolo G., Cobelli C., and Trajanoski Z. Ovarian cancer identification based on dimensionality reduction for high-throughput mass spectrometry data. Bioinformatics 21 (2005) 2200-2209
30. Pham T.D., Wang H., Zhou X., Beck D., Brandl M., Hoehn G., Azok J., Brennan M.-L., Hazen S.L., and Wong S.T.C. Classification of mass spectrometry based protein markers by kriging error matching. In: Perner P., and Salvetti O. (Eds). Advances in Mass Data Analysis of Images and Signals in Medicine, Biotechnology, Chemistry and Food Industry, Lecture Notes in Artificial Intelligence, vol. 5108 (2008), Springer, Berlin 82-94