Quasi-random Sequences Repository

Welcome to the Quasi-random Sequences Repository. This website contains quasi-random point sets and sequences ready to use in different experiments as well as code for generating quasi-random numbers in different language.

Point Sets

DR12 - Nearly Orthogonal Latin Hypercube with Low L2 Discrepancy - 8 to 11, 12 to 16, 17 to 22, and 23 to 29 dimensions
DDR13 - Generalised Halton Point Sets with Low Star Discrepancy - 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 17, 18, 20, 21, 25, 100 dimensions

Sequences

DR12 - Generalised Halton Sequence with Low L2 Discrepancy (up to 100 dimensions)

Point Set Generators

Generalized Halton Sequence Generator (in Python)
Nearly Orthogonal Latin Hypercube Generator (in Python)

Licence

The Quasi-random Sequence Repository is made available under the Open Data Commons Attribution License: http://opendatacommons.org/licenses/by/1.0. The data sets available in this repository remain the property of their author, see the "Cite As" section for each data set.

Citation

Citation to any point set shall be made according to the Cite As section of the used point set. Citing this web page can be done as

C. Doerr, F.-M. De Rainville, and C. Gagné, A database for low star discrepancy point sets and sequences. Available at http://qrand.gel.ulaval.ca.

Sources

[DR12]	F.-M. De Rainville, C. Gagné, O. Teytaud, and D. Laurendeau. Evolutionary optimization of low-discrepancy sequences. ACM Trans. Model. Comput. Simul., 22(2):9:1–9:25, 2012.	Original Version LVSN Version
[DDR13]	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