FRANK DE MEIJER
Lecturer at Delft Institute of Applied Mathematics
Research interests: Mathematical Optimization, Discrete Optimization, Semidefinite Programming, Graphs, Quadratic Programming, (Integer) Linear Programming.
ABOUT ME
After obtaining a Bachelor's degree in Econometrics and Operations Research and two Master's degrees in Operations Research at Tilburg University, I started a PhD in Mathematical Optimization to broaden my knowledge in this research field. From September 2019 until September 2023 I worked as a PhD researcher at the Department of Econometrics and Operations Research under the supervision of Renata Sotirov and Dion Gijswijt. In November 2023 I successfully defended my dissertation "Integrality and Cutting Planes in Semidefinite Programming Approaches for Combinatorial Optimization" and obtained by doctorate degree.
Since September 2023 I have been working as a lecturer Delft Institute of Applied Mathematics.
I am passionate about discrete optimization techniques and mathematical optimization in general. My current research focuses on solving and approximating hard problems in network optimization via semidefinite programming, integer programming and symmetry reduction.
RESEARCH
Published Papers:
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F. de Meijer and R. Sotirov. On integrality in semidefinite programming for discrete optimization. Accepted for publication in SIAM Journal on Optimization, 2023.
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F. de Meijer, R. Sotirov, A. Wiegele and S. Zhao. Partitioning through projections: strong SDP bounds for large graph partition problems. Computers and Operations Research, 151, March 2023.
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F. de Meijer and R. Sotirov. SDP-based bounds for the quadratic cycle cover problem via cutting plane augmented Lagrangian methods and reinforcement learning. INFORMS Journal on Computing, 33(4):1262-1276, 2021.
Download Matlab implementation for transformation matrix for facial reduction here.
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F. de Meijer and R. Sotirov. The quadratic cycle cover problem: special cases and efficient bounds. Journal of Combinatorial Optimization, 39:1096-1128, 2020
Preprints:
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F. de Meijer and R. Sotirov. The Chvátal-Gomory procedure for Integer SDPs with applications in Combinatorial Optimization.
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F. de Meijer, D. Gijswijt and R. Sotirov. Exploiting symmetries in optimal quantum circuit design.
Work in progress:
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On improving semidefinite programming bounds via integer Lagrangian duality, joint work with Renata Sotirov.
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Automorphism groups of Cayley graphs generated by general transposition sets, joint work with Dion Gijswijt.
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On improved SDP relaxations for the Quadratic Traveling Salesman Problem via cutting planes, single-authored project.
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Infinite dimensional linear programming problems and applications to optimal control, joing work with Henry Wolkowicz and Tylear Weames
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Integer semidefinite programming for the Quadratic Minimum Spanning Tree Problem, joint work with Melanie Siebenhofer, Renata Sotirov and Angelika Wiegele.
Research visits:
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University of Waterloo, Canada, July 13-22, 2022.
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Alpen-Adria-Universität Klagenfurt, Austria, June 14-21, 2021.
Conferences talks:
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International Conference on Continuous Optimization, July 25-28, 2022, Lehigh University, Bethlehem, PA, USA.
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SIAM Conference on Optimization, July 20-23, 2021, virtual conference.
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LNMB 46th Conference on Mathematics of Operations Research, January 22, 2021, virtual conference.
Seminar talks:
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Discrete Optimization Seminar at Technische Universität Dortmund, Department of Mathematics, February 8, 2023.
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Tutte Colloquium at University of Waterloo, Department of Combinatorics and Optimization, May 20, 2022.
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Combinatorial Optimization Seminar at Eindhoven University of Technology, Department of Mathematics and Computer Science, May 13, 2022.
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Doctoral Seminar at Alpen-Adria-Universität Klagenfurt, Department of Mathematics, June 16, 2021.
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OR Seminar at Tilburg University, Department of Econometrics and Operations Research, May 20, 2021.
Poster Presentations:
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Integer Programming and Combinatorial Optimization, June 27-29, 2022, Eindhoven University of Technology.
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CRM/DIMACS Workshop on Mixed-Integer Nonlinear Programming, October 7-10, 2019, HEC Montréal.
Attended workshops:
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Integer Programming and Combinatorial Optimization, June 27-29, 2022, Eindhoven University of Technology.
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Mixed Integer Programming Workshop (MIP2021), May 24-27, 2021, virtual workshop.
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POEMA Online Workshop 2, October 20, November 26 and December 11, 2020, virtual workshop.
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CRM/DIMACS Workshop on Mixed-Integer Nonlinear Programming, October 7-10, 2019, HEC Montreal.
Grants/prizes:
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Meritorious Paper Award for paper `SDP-based bounds for the quadratic cycle cover problem via cutting plane augmented Lagrangian methods and reinforcement learning', awarded by editorial board of INFORMS Journal on Computing, 2021.
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Jan Brouwer thesis award (category Economics, 2019) for my Master's thesis entitled 'Bounds on the minimum reload cycle cover problem', offered by the KHMW (Royal Holland Society of Sciences and Humanities).
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Koopmans scholarship (academic year 2018-2019) offered by CentER Graduate School for Economics and Business
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Socrates Award 2014, nominated. Prize offered to best Dutch student on secondary education in the class of 2014.
My full C.V. can be downloaded here.
TEACHING
Besides doing research, I have been involved in the teaching activities of several courses. Currently, I am working as a lecturer at the Delft Institute of Applied Mathematics, where I teach the following courses:
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Calculus I (BA Mechanical Engineering and BA Maritime Engineering)
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Calculus II (BA Mechanical Engineering and BA Maritime Engineering)
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Analysis I (BA Aerospace Engineering)
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Calculus II for Engineering (pre-MA Applied Earthsciences)
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Linear Algebra I (BA Mechanical Engineering, BA Maritime Engineering, BA Civil Engineering)
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Linear Algebra II (BA Mechanical Engineering, BA Maritime Engineering, BA Civil Engineering)
Until recently, I have worked as teaching assistant for several courses at Tilburg University, mainly at the department of Econometrics and Operations Research. I have been involved in the following courses:
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Linear Algebra (BA Econometrics and Operations Research, 2019-2020, 2020-2021, 2021-2022, 2022-2023)
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Advanced Linear Algebra (BA Econometrics and Operations Research, 2022-2023)
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Operations Research Methods (BA Econometrics and Operations Research, 2017-2018, 2018-2019, 2019-2020, 2020-2021, 2021-2022, 2022-2023)
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Combinatorial Optimization (BA Econometrics and Operations Research, 2017-2018, 2018-2019)
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Quantitative Methods for Business and Management (BA Liberal Arts and Sciences, 2017-2018, 2018-2019)
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Mathematics/Wiskunde (BA Business Economics, BA Economics, BA Fiscal Economics, 2019-2020, 2020-2021, 2021-2022)