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'''Bayes Error for Minimizing Risk''' <br />
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A slecture by Dennis Lee
  
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<center>[[Image:C12_c21.png|600px|thumb|left|Fig 1: Data for class 1 (crosses) and class 2 (circles).
 
<center>[[Image:C12_c21.png|600px|thumb|left|Fig 1: Data for class 1 (crosses) and class 2 (circles).
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Eqs. (------) - (----------).
 
Eqs. (------) - (----------).
 
As the figures show, the separating hyperplanes shift depending
 
As the figures show, the separating hyperplanes shift depending
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on the values of <math>c_{12}</math> and <math>c_{21}</math>.
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on the values of <math>c_{12}</math> and <math>c_{21}</math>.]]</center>
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</math>.]]</center>
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Revision as of 14:42, 12 April 2014

Bayes Error for Minimizing Risk
A slecture by Dennis Lee

Fig 1: Data for class 1 (crosses) and class 2 (circles). In all cases, Prob($ \omega_1 $) = Prob($ \omega_2 $) = 0.5. Misclassified points are shown in red. Values of $ \mu_1 $, $ \mu_2 $, and $ \Sigma $ are given in Eqs. (------) - (----------). As the figures show, the separating hyperplanes shift depending on the values of $ c_{12} $ and $ c_{21} $.

References

[2]. Mireille Boutin, "ECE662: Statistical Pattern Recognition and Decision Making Processes," Purdue University, Spring 2014.


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