Abstract
Nowadays, it is common to use nondestructive sensors to monitor property variations in biological systems. The repeated observations on the time varying system are referred to as repeated measurements. In many applications, it is important to develop a Bayesian classifier based on repeated measurements data to assure proper class identification. However, its implementation is complex due to the multidimensional and discontinuous nature of the decision boundaries. In this work, the problem of correlated data to develop a Bayesian Classifier for a multiclass problem is addressed. The effect of correlation on the classification error rate is discussed. It was found that additional correlated data does not improve the classifier likelihood for highly correlated repeated measures. Also, it is shown that error classification is adversely affected by correlation between repeated measures. Finally, a strategy to develop a multiclass Bayesian classifier from multisensory repeated measurements data is presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification, 2nd edn. Wiley, Chichester (2001)
Kokar, M., Tomasik, J.A., Mieczyslaw Weyman, J.: Formalizing classes of information fusion systems. Information Fusion 5(4), 189–202 (2004)
Verbeke, G.: Linear Mixed Models for Longitudinal Data. Springer, New York (2000)
Lindsey, J.K.: Models for Repeated Measurements. Oxford Statistical Science Series. Oxford University Press, Oxford (2005)
Lindsey, J.K., Lindsey, P.J.: Multivariate distributions with correlation matrices for nonlinear repeated measurements. Computational Statistical & Data Analysis 50, 720–732 (2006)
Molenberghs, G., Verbeke, G.: Meaningful statistical model formulations for repeated measures. Statistica Sinica 14, 989–1020 (2004)
Hearne, E.M., Clark III, G.M., Hatch, J.P.: A test for serial correlation in univariate repeated-measures analysis. Biometrics 39, 237–243 (1983)
Toutenburg, H.: Statistical analysis of designed experiments, 2nd edn. Springer, Heidelberg (2002)
Krzysztofowicz, R., Long, D.: Fusion of detection probabilities and comparison of multisensor systems. IEEE Transactions on Systems, Man and Cybernetics 20(3), 665–670 (1990)
Garber, F.D., Djouadi, A.: Bounds on the Bayes classification error based on pairwise risk functions. IEEE Trans. pattern analysis and machine intelligence 10(2), 281–288 (1988)
Baltazar, A., Aranda, J.I., Gonzalez-Aguilar, G.: Bayesian classification of ripening stages of tomato fruit using acoustic impact and colorimeter sensor data. Computers and Electronics in Agriculture 60(2), 113–121 (2008)
Andrews, D.F., Brant, R., Percy, M.E.: Bayesian incorporation of repeated measurements in logistic discrimination. The Canadian Journal of Statistics 14(3), 263–266 (1986)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Baltazar, A., Aranda-Sanchez, J.I. (2008). The Effect of Repeated Measurements on Bayesian Decision Regions for Class Discrimination of Time-Dependent Biological Systems. In: Gelbukh, A., Morales, E.F. (eds) MICAI 2008: Advances in Artificial Intelligence. MICAI 2008. Lecture Notes in Computer Science(), vol 5317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88636-5_29
Download citation
DOI: https://doi.org/10.1007/978-3-540-88636-5_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88635-8
Online ISBN: 978-3-540-88636-5
eBook Packages: Computer ScienceComputer Science (R0)