An Optimization Perspective on the Construction of Low-Discrepancy Point Sets
Team
Dr. Francois Clement (Paris Sorbonne/University of Washington, Seattle)
Prof. Dr. Carola Doerr (Paris Sorbonne)
Rabea Freese (Uni Wuppertal)
Prof. Dr. Kathrin Klamroth (Uni Wuppertal)
David Könen (Uni Wuppertal)
Renee Lamsfuß (Uni Wuppertal)
Luis Paquete (University of Coimbra)
Dr. Michael Stiglmayr (Uni Wuppertal)
Project
Discrepency measures ar eindicators that quantify the irregularity of a finite set of points P, taken from the hypercube [0,1]^d. Low discrepancy point sets are used in numerical integration, for the design of experiments, for initial sampling in Bayesian Optimization algorithms, for hyperparameter optimization, in computer vision, and many more. The scientific goal of this project is to advance the theoretical understanding and the algorithmic computation of low discrepancy point sets by combining state-of-the-art methods from Computer Science and from Mathematical Optimization for mutual benefit. Simultaneously, we establish an international and cross-disciplinary collaboration between working groups from Sorbonne University and the University of Wuppertal.
Workshop, Meetings, Forschungsaufenthalte
- Kathrin Klamroth, Paris Sorbonne, 25.02.-01.03.2024
- Francois Clement, Uni Wuppertal, 22.-25.05.2024
- Kathrin Klamroth, Paris Sorbonne, 18.-19.07.2024
Konferenz-Vorträge
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Carola Doerr: Séminaire Parisien d'Optimisation, Paris, June 5, 2023. https://sites.google.com/site/spoihp/
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Francois Clement: Dagstuhl Seminar 23351 Algorithms and Complexity for Continuous Problems, Wadern, August 28, 2024. https://www.dagstuhl.de/en/seminars/seminar-calendar/seminar-details/23351
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Carola Doerr: JNIM, Grenoble, March 21, 2024. https://jnim2024.sciencesconf.org/program
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Francois Clement, Kathrin Klamroth, Carola Doerr: Pitch at the Research & Innovation Day, Embassy of France in Berlin, May 21, 2024
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Carola Doerr: Dagstuhl Seminar 24282 Automated Machine Learning for Computational Mechanics, Wadern, June 9, 2024. https://www.dagstuhl.de/24282
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Carola Doerr: FILOFOCS workshop, Paris, November 14, 2024. https://www.filofocs.org/filofocs-2024
Other
- Clement, Doerr, Klamroth, Paquete: Star Discrepancy Competition @GECCO 2024
Theses
- Francois Clement: An Optimization Perspective on the Construction of Low-Discrepancy Point Sets. PhD Thesis, Paris Sorbonne University, July 2024.
- Rabea Freese: Mathematical Optimization for Low Discrepancy Point Sets; Master thesis at the University of Wuppertal, in preparation.
Publikationen
zuletzt bearbeitet am: 19.11.2024