DDR13 - Generalized Halton Point Set - 9 dimensions

Generalized Halton point set in 9 dimensions optimized over the star discrepancy by an evolutionary algorithm as described in Doerr and De Rainville 2013.

Properties

Point sets obtained when minimizing the star discrepancy of point sets with fixed number of points.

Dimensions Number of Points Star Discrepancy
9 85 0.14349
121 0.12437
145 0.10831

Downloads

The permutation vectors in the JSON file are values of a dictionary where the key is the number of points (as string). Points sets should be read row major; an entire row is a point and each column is one dimension for a point.

Cite As

C. Doerr, and F.-M. De Rainville. Constructing Low Star Discrepancy Point Sets with Genetic Algorithms, In Proceedings of the Genetic and Evolutionary Computation Conference, 2013.
ArXiv Version


Quasi-random Sequences Repository © 2017
Powered by GetSimple