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Title: Nonlinear matroid optimization and experimental design
Authors: Berstein, YaelLee, JonMaruri-Aguilar, HugoOnn, ShmueelRiccomagno, EvaWeismantel, RobertWynn, Henry
Publishers version: https://doi.org/10.14760/OWP-2007-06
URI: https://doi.org/10.34657/2747
https://oa.tib.eu/renate/handle/123456789/1772
Issue Date: 2007
Published in: Oberwolfach Preprints (OWP), Volume 2007-06, ISSN 1864-7596
Publisher: Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Abstract: We study the problem of optimizing nonlinear objective functions over matroids presented by oracles or explicitly. Such functions can be interpreted as the balancing of multi-criteria optimization. We provide a combinatorial polynomial time algorithm for arbitrary oracle-presented matroids, that makes repeated use of matroid intersection, and an algebraic algorithm for vectorial matroids. Our work is partly motivated by applications to minimum-aberration model-fitting in experimental design in statistics, which we discuss and demonstrate in detail.
Type: report; Text
Publishing status: publishedVersion
DDC: 510
License: CC BY-SA 3.0 US
Link to license: https://creativecommons.org/licenses/by-sa/3.0/us/
Appears in Collections:Mathematik

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Berstein, Yael, Jon Lee, Hugo Maruri-Aguilar, Shmueel Onn, Eva Riccomagno, Robert Weismantel and Henry Wynn, 2007. Nonlinear matroid optimization and experimental design. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
Berstein, Y., Lee, J., Maruri-Aguilar, H., Onn, S., Riccomagno, E., Weismantel, R. and Wynn, H. (2007) Nonlinear matroid optimization and experimental design. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. doi: https://doi.org/10.14760/OWP-2007-06.
Berstein Y, Lee J, Maruri-Aguilar H, Onn S, Riccomagno E, Weismantel R, Wynn H. Nonlinear matroid optimization and experimental design. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach; 2007.
Berstein, Y., Lee, J., Maruri-Aguilar, H., Onn, S., Riccomagno, E., Weismantel, R., & Wynn, H. (2007). Nonlinear matroid optimization and experimental design (Version publishedVersion). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org/https://doi.org/10.14760/OWP-2007-06
Berstein Y, Lee J, Maruri-Aguilar H, Onn S, Riccomagno E, Weismantel R, Wynn H. Nonlinear matroid optimization and experimental design. Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach; 2007. doi:https://doi.org/10.14760/OWP-2007-06


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