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12 March 2009A theoretical treatment of the sources of variability in the output of pattern classifiers
Previously, several instances of variability in the output of pattern classifiers that have the same Receiver Operating
Characteristic (ROC) curve have been observed. We present a theoretical framework for understanding some sources of
this variability, which result in classifiers with monotonically related outputs. We restrict our analysis to pattern
classifiers that discriminate between two linearly separable classes. We show that variability in the output of pattern
classifiers can arise due to differences in the functional mappings between their inputs and outputs. We further identify
some practical situations wherein such variability in the output of such pattern classifiers arises. These include situations
in which there are differences in (a) the datasets employed for training and evaluation of classifiers, (b) the a priori
probabilities of the two classes, or (c) the stochastic processes employed for training the different pattern classifiers.
Previously, we proposed a technique based on the matching of the histograms of differently distributed classifier output
to reduce the variability in their diagnostic performance and their output values. Here, we prove theoretically and
demonstrate empirically on simulated data, that for monotonically related classifier outputs, this technique successfully
learns the true monotonic transformation function that exists between different pattern classifier outputs.
Shalini Gupta andMia K. Markey
"A theoretical treatment of the sources of variability in the output of pattern classifiers", Proc. SPIE 7263, Medical Imaging 2009: Image Perception, Observer Performance, and Technology Assessment, 72630Y (12 March 2009); https://doi.org/10.1117/12.811744
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Shalini Gupta, Mia K. Markey, "A theoretical treatment of the sources of variability in the output of pattern classifiers," Proc. SPIE 7263, Medical Imaging 2009: Image Perception, Observer Performance, and Technology Assessment, 72630Y (12 March 2009); https://doi.org/10.1117/12.811744