Fig. 5: Probability distributions of relative positions between positive and negative examples.

a Theoretical distributions of positive examples from two different classes (denoted as Pos data 1 and Pos data 2) with distinct means (2μ1 = 0 and 2μ2 = 15) and identical variance (2Σ = 4) are shown with blue and orange curves, respectively. The theoretical distribution of negative examples (denoted as Neg data) derived from the two classes using the formula (7) is depicted by the grey curve. b Continuous probability density of linear discriminant analysis (LDA) applied to the IRIS dataset, displaying contours for positive examples in green (Setosa), red (Versicolor), and blue (Virginica), and for negative examples (Neg Data) in grey.