Equal-width Interval BinningΒΆ

Equal-width Interval Binning algorithm divides the range of values into \(k\) subintervals of equal width that is determined by

\[h = \frac{max(Y)-min(Y)}{k}.\]

Input Parameters

Parameter Type Constraint Description Remarks
\(Y\) \(Y \in \mathbb R^N\) or \(Y\) is continuous data For discrete data, \(N \in \mathbb{N}\) ; for continuous data, input data bounded from below and above None None
\(k\) \(k \in \mathbb N\) None None None

Output Parameters

Parameter Type Constraint Description Remarks
\(\hat{Y}\) \(\hat{Y} \in \mathbb R^{k+1}\) None Discrete data set of length \(k+1\) None

Single Steps using the Algorithm

References