283 citations · 297 across the 9 of their papers we have counts for
4 papers · 1 filter
Transforming the Challenge of Constructing Low-Discrepancy Point Sets into a Permutation Selection Problem
François Clément, Carola Doerr, Kathrin Klamroth +1
Low discrepancy point sets have been widely used as a tool to approximate continuous objects by discrete ones in numerical processes, for example in numerical integration. Followin…
Constructing Optimal Star Discrepancy Sets
François Clément, Carola Doerr, Kathrin Klamroth +1
The star discrepancy is a very well-studied measure used to quantify the uniformity of a point set distribution. Constructing optimal point sets for this measure is se…
Heuristic Approaches to Obtain Low-Discrepancy Point Sets via Subset Selection
François Clément, Carola Doerr, Luís Paquete
Building upon the exact methods presented in our earlier work [J. Complexity, 2022], we introduce a heuristic approach for the star discrepancy subset selection problem. The heuris…
Star Discrepancy Subset Selection: Problem Formulation and Efficient Approaches for Low Dimensions
François Clèment, Carola Doerr, Luís Paquete
Motivated by applications in instance selection, we introduce the star discrepancy subset selection problem, which consists of finding a subset of m out of n points that minimizes…