Improving Classifier Performance by Using Fictitious Training Data? A Case Study

Abstract

Many empirical data describing features of some persons or objects with associated class labels (e.g. credit client features and the recorded defaulting behaviors in our application [5], [6]) are clearly not linearly separable. However, owing to an interplay of relatively sparse data (relating to high dimensional input feature spaces) and a validation procedure like leave-one-out, a nonlinear classification cannot, in many cases, improve this situation but in a minor way. Attributing all the remaining errors to noise seems rather implausible, as data recording is offline and not prone to errors of the type occurring e.g. when measuring process data with (online) sensors. Experiments with classification models on input subsets even suggest that our credit client data contain some hidden redundancy. This was not eliminated by statistical data preprocessing and leads to rather competitive validated models on input subsets and even to slightly superior results for combinations of such input subset base models [3]. These base models all reflect different views of the same data. However, class regions with highly nonlinear boundaries can also occur if important features (i.e. other explaining factors) are for some reason not available (unknown, neglected, etc.). In order to see this, simply project linearly separable data onto a feature subset with smaller dimension.