evox.metrics.igd
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Module Contents#
Functions#
Calculate the Inverted Generational Distance (IGD) metric between a set of solutions and the Pareto front. |
API#
- evox.metrics.igd.igd(objs: torch.Tensor, pf: torch.Tensor, p: int = 1)[source]#
Calculate the Inverted Generational Distance (IGD) metric between a set of solutions and the Pareto front.
- Parameters:
objs – A tensor of shape (n, m), where n is the number of solutions and m is the number of objectives. Represents the set of solutions to be evaluated.
pf – A tensor of shape (k, m), where k is the number of points on the Pareto front and m is the number of objectives. Represents the true Pareto front.
p – The power parameter used in the calculation (default is 1). This defines the distance metric (L^p norm).
- Returns:
The IGD score, a scalar representing the average distance of the solutions to the Pareto front.
- Note:
The IGD score is lower when the approximation is closer to the Pareto front.