Nick Dewaele

About me

I obtained my doctorate at KU Leuven on 05/07/2024. My dissertation is titled Geometry of numerical sensitivity and it concerns mathematical aspects of error and precision in numerical algorithms, with an emphasis on numerical tensor computations. My advisors were Nick Vannieuwenhoven and Paul Breiding. Picture: Evert Provoost

KU Leuven staff page

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inbox: my full name (without punctuation) at tutamail-dot-com

Watch my lecture at my doctoral defence here (subtitles available). The lecture was targeted at a lay audience.

Bibliography

Doctoral dissertation

• Dewaele, N. (2024). Geometry of Numerical Sensitivity. KU Leuven. PDF

Journal articles

• Dewaele, N., Vannieuwenhoven, N. (2024). Which constraints of a numerical problem cause ill-conditioning?. Numerische Mathematik 156, 1427–1453. Published version, Accepted version, Preprint
• Dewaele, N., Breiding, P., & Vannieuwenhoven, N. (2023). The condition number of many tensor decompositions is invariant under Tucker compression. Numerical Algorithms 94, 1003–102. Published version, Accepted Version
• Dewaele, N., Breiding, P., & Vannieuwenhoven, N. (2023). Three decompositions of symmetric tensors have similar condition numbers. Linear Algebra and its Applications, 664, 253-263. Published version, Accepted Version

Talks and seminars

• Dewaele, N., Vannieuwenhoven, N. (contr.) (2024). Which constraints of a numerical problem cause ill-conditioning?. NUMA Seminar, KU Leuven, Leuven, Belgium.
• 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., Breiding, P. (contr.), Vannieuwenhoven, N. (contr.) (2022). Condition numbers of tensor decompositions. 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.
• 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

• Teaching assistant (“assistent”, >= 2020 and “jobstudent”, <= 2019) for the following courses at KU Leuven:
  • Computergesteund probleemoplossen in de natuurkunde (computational methods for physicists, 2022-2024)
  • Toepassingen van de meetkunde in de informatica (computational geometry, 2020-2023)
  • Analyse, deel 3 (calculus 3, 2018-2019)
  • Lineaire algebra (linear algebra, 2018-2019)
  • Probleemoplossen en ontwerpen 1 (problem solving and design, 2018)
• Development of interactive code notebooks for KU Leuven courses Analyse 1-3 (Calculus 1-3, 2020)
• Mentoring of students on the following topics:
  • (Master’s thesis) Completing correlation matrices for portfolio optimisation (P.E. Verleye & J. Nelis, 2021-2022)
  • (Master’s thesis) Riemannian optimisation on toric varieties (A. Lescroart, 2020-2021)
  • (Bachelor’s project) Function approximation using Julia (2023-2024)
• Outreach events for aspiring bachelor’s and master’s students in computer science and engineering at KU Leuven (2022-2024).