Publications
Journal publications
- (2024) Computing second-order points under equality constraints: revisiting Fletcher’s augmented Lagrangian, F. Goyens, A. Eftekhari, N. Boumal. [JOTA] [Arxiv].
- (2024) Riemannian trust-region methods for strict saddle functions with complexity guarantees, F. Goyens and Clément W. Royer. [Mathematical Programming] [ArXiv].
- (2022) Nonlinear matrix recovery using optimization on the Grassmann manifold, F. Goyens, C. Cartis, A. Eftekhari. Applied and Computational Harmonic Analysis [ACHA] [Arxiv] [Code]
Preprints (under review)
- (2025) Complexity guarantees and polling strategies for Riemannian direct-search methods, B. Cavarretta, F. Goyens, C. W. Royer, F. Yger [Arxiv] [Code]
- (2024) Registration of algebraic varieties using Riemannian optimization, F. Goyens, S. Chretien, C. Cartis [Arxiv] [Code]
Conference papers
- (2025) Geometric design of the tangent term in landing algorithms for orthogonality constraints, F. Goyens, P.-A. Absil, F. Feppon. Geometric Science of Information paper pdf
- (2020) Smoothing of point clouds using Riemannian optimization, F. Goyens, S. Chretien, C. Cartis. ICML, Beyond first order methods in Machine Learning Workshop
- (2019) Nonlinear matrix recovery, F. Goyens, A. Eftekhari, C. Cartis. NeurIPS, Beyond first order methods in Machine Learning Workshop
- (2018) A Probabilistic Model for Precedence Rules and Reactionary Delay in Air Traffic Management, F. Goyens, F. Gonze, A. Simonetto, E. Huens, J. Boucquey, R. M. Jungers. In Proceedings of the International Conference on Research in Air Transportation (ICRAT), Barcelona, Spain, June 2018 [Best Paper Award for the system performance track]
Talks
- BNAIC/BENELEARN, Namur, November 2025
- NUMA seminar, Leuven (Belgium), November 2025
- Geometric Science of Information, St Malo (France), October 2025
- Workshop on Low-Rank Models and Applications LRMA 25, Mons (Belgium), September 2025 (poster)
- International Conference on Continuous Optimization (ICCOPT), Los Angeles, July 2025
- Young Scholar Day of the Belgian Mathematical society, Leuven, June 2025
- Seminar, LMU Munich, January 2025
- ISMP, Montreal, July 2024 (Slides)
- SIAM Applied Linear Algebra in Paris, Mai 2024
- NOPTA in Antwerp Belgium, April 2024 (Poster)
- SMAI MODE 2024 in Lyon France, March 2024
- European Conference on Computational Optimization (EUCCO), Optimization on manifolds session, Heidelberg, September 2023
- SIAM Optimization conference, Seattle, June 2023 (Slides)
- Seminar of DATA department, LJK Institute, Grenoble, February 2023
- 6th IMA Conference on the Mathematical Challenges of Big Data, Oxford (UK), September 2022
- Curves and Surfaces conference, Arcachon (France), June 2022
- IMA conference on Numerical Linear Algebra and Optimization, Birmingham (UK) June 2022
- Seminar of MILES research group, Paris-Dauphine, October 2021
- ICML, poster as part of the workshop “Beyond first order methods in Machine Learning”, Online conference on July 17, 2020
- Mathematics of Data Science, graduate online conference on June 11, 2020
- Seminar at the Mathematical Engineering department in Louvain-la-Neuve (Belgium) on December 17, 2019
- NeurIPS poster as part of the workshop “Beyond first order methods in Machine Learning”, Vancouver (Canada) on December 13, 2019
- 2nd IMA Conference On Inverse Problems From Theory To Application, London (UK) on September 5, 2020
- ICCOPT, Berlin (Germany) on August 7, 2019
- Applied Inverse Problems Conference, Grenoble (France) on July 12, 2019
- Signal Processing with Adaptive Sparse Structured Representations (SPARS), Toulouse (France) on July 4, 2019
- British Applied Mathematics Colloquium, University of Bath (UK), on April 26, 2019
- 3rd IMA Conference on the Mathematical Challenges of Big Data, London (UK) on December 10, 2018
- Numerical Analysis group internal seminar, Oxford (UK) on November 13, 2018
- ISMP, Bordeaux (France), July 2018
- IMA Conference on Numerical Linear Algebra and Optimization, Birmingham (UK) on June 28, 2018
Thesis
- (PhD thesis, 2021) A Riemannian perspective on matrix recovery and constrained optimization [pdf]
- (Master thesis, 2016) Quasi-Newton methods for nonsmooth Riemannian optimization (Advisers: P.-A. Absil, W. Huang)
