Nick Dewaele
About me
 | I am a Ph.D. student at KU Leuven until August 2024. My dissertation is titled "Geometry of numerical sensitivity", presented on 05/07/2024. It focuses on numerical analysis, in particular the study of condition numbers of tensor-related problems.
My advisors are Nick Vannieuwenhoven and Paul Breiding. Picture: Evert Provoost |
| contact information | Researchgate | ORCiD |
Research interests
- numerical analysis
- (optimisation) algorithms on manifolds
- tensor decompositions: theory and algorithms
- condition numbers, complexity, distance to singularity
- applications of differential and algebraic geometry
Bibliography
Preprints
- Dewaele, N. & Vannieuwenhoven N. (2023). What part of a numerical problem is ill-conditioned? arXiv 2305.11547.
Journal articles
- Dewaele, N., Breiding, P., & Vannieuwenhoven, N. (2023). Three decompositions of symmetric tensors have similar condition numbers. Linear Algebra and its Applications, 664, 253-263, DOI 10.1016/j.laa.2023.01.020
- Dewaele, N., Breiding, P., & Vannieuwenhoven, N. (2023). The condition number of many tensor decompositions is invariant under Tucker compression (to appear in Numerical Algorithms). arXiv 2106.13034
Talks
- Dewaele, N., Vannieuwenhoven, N. (contr.) (2023). Condition Numbers of Tensor Factorisations. Presented at the SIAM AG 2023, University of Eindhoven, Eindhoven, Netherlands.
- Dewaele, N., Vannieuwenhoven, N. (contr.) (2023). What part of a numerical problem is ill-conditioned? Presented at the FOCM 2023, Sorbonne University, Paris, France.
- Dewaele, N. (2022). A condition number for underdetermined systems. Presented at the Algebraic Geometry with Applications to TEnsors and Secants (AGATES), IMPAN Banach Center, Warsaw.
- Dewaele, N. (2022). Sensitivity of roots of underdetermined systems. Presented at the Workshop on Solving Polynomial Equations and Applications, CWI, Amsterdam.
- Dewaele, N., Vannieuwenhoven, N. (contr.), Breiding, P. (contr.) (2022). Computing the condition number of tensor decompositions through Tucker compression. Presented at the DMV Jahrestagung 2022, FU Berlin.
- Dewaele, N., Vannieuwenhoven, N. (contr.), Breiding, P. (contr.) (2022). Computing the condition number of tensor decompositions through Tucker compression. Presented at the 7th IMA Conference on Numerical Linear Algebra and Optimization, University of Birmingham.
- Dewaele, N., Breiding, P. (contr.), Vannieuwenhoven, N. (contr.) (2021). Computing the condition number of tensor decompositions through Tucker compression. Presented at the Tensor seminars at the Max Planck Instutue for Mathematics in the Sciences, Leipzig, Germany, Online.
- Vannieuwenhoven, N., Breiding, P. (contr.), Dewaele, N. (contr.) (2021). Sensitivity of tensor decompositions. Presented at the Algebra and Geometry Seminar, Universita di Trento, Trento, Italy.
- Dewaele, N., Breiding, P. (contr.), Vannieuwenhoven, N. (contr.) (2021). Computing the condition number of tensor decompositions through Tucker compression. Presented at the Matrix Equations and Tensor Techniques IX (METTIX), Università degli Studi di Perugia, Perugia, Italy, 09 Sep 2021-10 Sep 2021.
- Dewaele, N., Breiding, P. (contr.), Vannieuwenhoven, N. (contr.) (2021). Sensitivity of block term decompositions. Presented at the IPAM Workshop on Mathematical Foundations and Algorithms for Tensor Computations, online, 03 May 2021-06 May 2021.
Longer stays abroad
- AGATES: 24/10/2022 - 25/11/2022
Education contributions
I have been a TA (“assistent”, >= 2020) or “jobstudent”, (<= 2019) for the following bachelor level courses:
- Computergesteund probleemoplossen in de natuurkunde (2022-2024)
- Toepassingen van de meetkunde in de informatica (2020-2023)
- Analyse, deel 3 (2018-2019)
- Lineaire algebra (2018-2019)
- Wiskunde voor probleemoplossen (2018)
I have also supervised master’s theses on the following topics
- Completing correlation matrices for portfolio optimisation (P.E. Verleye & J. Nelis, 2021-2022)
- Riemannian optimisation on toric varieties (A. Lescroart, 2020-2021)