A Method for Discovering the Insignificance of One's Best Classifier and the Unlearnability of a Classification Task

George Forman · 2002

Consider the following common scenario: a datamining practitioner tries various specialized classification algorithms on a new dataset of unknown difficulty and selects the apparent best. Supposing its accuracy were 70% on a held-out test set, how can one know whether this is a significant result or not? It can be difficult to tell in the absence of standard benchmark results for the dataset. Surprisingly, it can also be difficult to tell even when the dataset has hundreds of benchmark results. This paper presents a method to address this question by comparing the chosen best classifier to the distribution of performance scores obtained by many simple classifiers that are randomly generated. This can also serve to discover when a classification problem appears nearly unlearnable. It is demonstrated for the results of the 2001 KDD Cup thrombin

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