Finding optimal volume subintervals with k points and calculating the star discrepancy are NP-hard problems

Author:

Gnewuch Michael,Srivastav Anand,Winzen Carola

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference31 articles.

1. Discrepancy theory;Beck,1995

2. The Discrepancy Method;Chazelle,2000

3. Construction of low-discrepancy point sets of small size by bracketing covers and dependent randomized rounding;Doerr,2008

4. Component by component construction of low-discrepancy sets of small size;Doerr;Monte Carlo Methods Appl.,2008

5. Bounds and constructions for the star-discrepancy via δ-covers;Doerr;J. Complexity,2005

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