DirectedHausdorff

Directed Hausdorff distance between event points.

For detected time points \(A = (a_1, a_2, \ldots, a_n)\) and true time points \(B = (b_1, b_2, \ldots, b_m)\), the directed (unnormalized) Hausdorff distance is defined as:

where \(b'_i\) is the true event closest to \(a_i\), that is, \(b'_i = \arg \min_{b\in B} |a_i - b|\).

If X is provided, the time points are taken as the location indices in X. Otherwise, it is assumed that X has a RangeIndex.