dominated_hypervolume {emoa} | R Documentation |
dominated_hypervolume
calculates the dominated
hypervolume of the points in points
.
dominated_hypervolume(points, ref)
hypervolume_contribution(points, ref)
points |
Matrix containing the points one per column. |
ref |
Optional reference point. If not provided the maximum in each dimension is used. |
hypervolume_contribution
calculates the
hypervolume contribution of each point.
If no reference point ref
is given, one is
automatically calculated by determening the maximum in
each coordinate.
Currently only one general algorithm is implemented due to Fonseca et.al. but work is underway to include others such as the Beume & Rudolph approach as well as the approach by Bradstreet et.al.
The 1D and 2D cases are handle seperately by efficient
algorithms. Calculates the exact dominated hypervolume of
the points given in x
subject to the reference
point ref
.
For dominated_hypervolume
the dominated
hypervolume by the points in points
with respect
to the reference point ref
. For
hypervolume_contribution
a vector giving the
hypervolume soley dominated by that point.
Olaf Mersmann olafm@statistik.tu-dortmund.de
This code uses version 1.3 of the hypervolume code available from http://iridia.ulb.ac.be/~manuel/hypervolume. For a description of the algorithm see
Carlos M. Fonseca, Luis Paquete, and Manuel Lopez-Ibanez. An improved dimension-sweep algorithm for the hypervolume indicator. In IEEE Congress on Evolutionary Computation, pages 1157-1163, Vancouver, Canada, July 2006.
nondominated_points
to extract the pareto
front approximation from a given set of points and
nds_hv_selection
for a selection strategy
based on the hypervolume contribution of each point.