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  Calculation of Discrepancy Measures and Applications

Doerr, C., Gnewuch, M., & Wahlström, M. (2014). Calculation of Discrepancy Measures and Applications. In W. Chen, A. Srivastav, & G. Travaglini (Eds.), A Panorama of Discrepancy Theory (pp. 621-678). Cham: Springer International. doi:10.1007/978-3-319-04696-9_10.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0015-87EC-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0028-F19D-0
Genre: Book Chapter

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 Creators:
Doerr, Carola1, Author           
Gnewuch, Michael2, Author
Wahlström, Magnus1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              
2External Organizations, ou_persistent22              

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 Abstract: In this book chapter we survey known approaches and algorithms to compute discrepancy measures of point sets. After providing an introduction which puts the calculation of discrepancy measures in a more general context, we focus on the geometric discrepancy measures for which computation algorithms have been designed. In particular, we explain methods to determine L_2-discrepancies and approaches to tackle the inherently difficult problem to calculate the star discrepancy of given sample sets. We also discuss in more detail three applications of algorithms to approximate discrepancies.

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Language(s): eng - English
 Dates: 201320142014
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: BibTex Citekey: GnewuchWW13
DOI: 10.1007/978-3-319-04696-9_10
Other: Local-ID: 43D6DE28F67C287EC1257AF5006669F0-GnewuchWW13
 Degree: -

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Title: A Panorama of Discrepancy Theory
Source Genre: Book
 Creator(s):
Chen, William1, Editor
Srivastav, Anand1, Editor
Travaglini, Giancarlo1, Editor
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Cham : Springer International
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 621 - 678 Identifier: ISBN: 978-3-319-04695-2

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Title: Lecture Notes in Mathematics
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 2107 Sequence Number: - Start / End Page: - Identifier: ISSN: 0075-8434