The Correlation Analysis of Discrete Variables and Continuous Variables Based on Mutual Information

Abstract:

As most Mutual Information method is limited to the correlation analysis between discrete variables in majority and tendency of choosing the characteristic variables with multi-values so far, in this paper we propose a new approach based on Mutual Information to measure the correlation of discrete variables and continuous variables. Then we take the fire control system of aircraft for example to calculate the correlation between fault types and monitor data indexes, and finally find the fault symptom classes.

• Periodical: Applied Mechanics and Materials (Volumes 121-126)
• Pages: 4203-4207
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.121-126.4203
• Online since: October 2011
• Authors: Lin Huo, Chuan Lv, Si Miao Fei, Dong Zhou
• Keywords: Correlation Analysis, Entropy, Fault Symptom, Mutual Information (MI)

References

[1] R, Y.X., Canonical correlation analysis based on information theory. Journal of Multivariate Analysis, 2004. 2(91): pp.161-176.

[2] I, R., G. M and G. E, Logistic regression for parameter tuning on an evolutionary algorithm. IEEE congress on evolution computation, 2005(2): pp.1061-1068.

[3] J, C., X.G. C and C.J. X, Entropy partition method and its verification for medicine data. Proceedings of 2th international conference on innovative computing, information and control, 2007: pp.574-577.

[4] C, C.R., Laws of information whcih govern systems. IEEE transactions on systems, man amd cybernetics, 1976. 4(6): pp.240-255.

[5] Jing, C., The complex system modeling- the application study of entropy and its evolution in data correlation analysis. 2009, Institute of Automation, Chinese Academy of Sciences: Beijing.

[6] G, T. and E.G. M, Consciousness and complexity. Science, 1998(828): pp.1846-1851.

[7] Guangcheng, X., The Complex System Theory and Traditional Chinese Medicine Syndrome Modeling. 2010: Science Press. 26-31.

[8] Guangcheng, X., The entropy method of ecological economy region partition. ACTA Automatic Science, 1990. 2(16): pp.170-173.

[9] Q, S.Z., X.G. C and L.H. X, Correlation analysis between TCM syndromes and physicochemical parameters. Int J Bio-Med Comput, 2006(3): pp.93-102.

[10] R, P.N. and P.S. K, Object-background segmentation using new definition of entropy. IEEE Proceedings on Computer and Digital Techniques, 1989. 4(136): pp.284-295.

[11] K, K.H. and K.J. N, The generalized maximum entropy principle. IEEE Transactions on System, 1989. 19(5): pp.1042-1052.

[12] Fengming, Z. and H. Xiaobing, Failure Diagnosis of Aviation Equipment. 2010: Natioal Defense Industry Press. 16-37.