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Histogram-based class separability measure

by Theodoros Giannakopoulos

 

16 Feb 2008 (Updated 18 Feb 2008)

The provided functions demonstrate a histogram-based measure for class separability, given the sampl

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Description

The provided functions demonstrate a histogram-based measure for class separability, given the samples from two classes (binary classification problem). The proposed error classification estimation method is described in (B) and it is based on estimating the pdf of each class using histograms. The function that estimates the class seperability method is computeHistError(). Function theoreticalError() computes the theoretical error for two Gaussian distributed classes. Function testClassSeperability() calls the other two functions and displays the results for two Gaussian distributed functions. It has to be noted that computeHistError() can be used for any kind of class distribution, since it estimates the pdf of each class using the histogram method.

We can use computeHistError() in order to estimate the separabilty of a binary classification problem, given the training samples of the two classes.

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Example

In order to execute the demo, call the testClassSeperability():

testClassSeperability(10000,1.0, 1.0, 3.0, 2.0, 1);

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Theodoros Giannakopoulos
http:/www.di.uoa.gr/~tyiannak
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MATLAB release MATLAB 7.5 (R2007b)
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Tag Activity for this File
Tag Applied By Date/Time
statistics Theodoros Giannakopoulos 22 Oct 2008 09:48:01
probability Theodoros Giannakopoulos 22 Oct 2008 09:48:01
class separability Theodoros Giannakopoulos 22 Oct 2008 09:48:01
gaussian Theodoros Giannakopoulos 22 Oct 2008 09:48:01
pattern recognition Theodoros Giannakopoulos 22 Oct 2008 09:48:01

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