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Classifier uncertainty: evidence, potential impact, and probabilistic treatment.

Niklas Tötsch1, Daniel Hoffmann1

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Summary

Performance metrics for classifiers are often uncertain due to small datasets. Our method quantifies this uncertainty using confusion matrix models, revealing potentially misleading published results.

Keywords:
Bayesian modelingClassificationMachine learningReproducibilityStatisticsUncertainty

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Area of Science:

  • Machine Learning
  • Statistical Modeling
  • Data Science

Background:

  • Classification models are frequently evaluated using performance metrics derived from limited data.
  • Current practices often overlook the inherent uncertainty in these metrics, accepting them at face value.

Purpose of the Study:

  • To introduce a novel approach for quantifying the uncertainty associated with classification performance metrics.
  • To highlight the potential for misleading conclusions when classifier performance is not rigorously assessed for uncertainty.

Main Methods:

  • Developed a probability model based on the confusion matrix to estimate performance metric uncertainty.
  • The method is classifier-agnostic and requires only the confusion matrix as input.

Main Results:

  • Application to real-world classifiers revealed surprisingly large uncertainties in performance metrics.
  • These uncertainties can significantly limit the reliability of performance evaluations and may render some published results misleading.
  • The approach was also effective for estimating required sample sizes for desired metric precision.

Conclusions:

  • Quantifying uncertainty in classification performance metrics is crucial for reliable evaluation.
  • The proposed confusion matrix-based probability model offers a simple yet powerful tool for assessing classifier reliability.
  • This method can prevent the dissemination of potentially misleading classifier performance data and guide future research design.