Random Pareto front surfaces

arXiv:2405.01404v1 Announce Type: cross
Abstract: The Pareto front of a set of vectors is the subset which is comprised solely of all of the best trade-off points. By interpolating this subset, we obtain the optimal trade-off surface. In this work, we prove a very useful result which states that all Pareto front surfaces can be explicitly parametrised using polar coordinates. In particular, our polar parametrisation result tells us that we can fully characterise any Pareto front surface using the length …

abstract arxiv cs.lg math.oc pareto prove random set stat.me stat.ml surface trade trade-off type vectors work