29 citations · 225 across the 32 of their papers we have counts for
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math.NA2013★ 2 cited
A PDE-based approach to non-dominated sorting
Jeff Calder, Selim Esedoglu, Alfred O. Hero
Non-dominated sorting is a fundamental combinatorial problem in multiobjective optimization, and is equivalent to the longest chain problem in combinatorics and random growth model…
math.AP2013★ 1 cited
A Hamilton-Jacobi equation for the continuum limit of non-dominated sorting
Jeff Calder, Selim Esedoglu, Alfred O. Hero
We show that non-dominated sorting of a sequence of i.i.d. random variables in Euclidean space has a continuum limit that corresponds to solving a Hamilton-Jacobi equation involvin…