Publications

Journal publications

• (2022) Nonlinear matrix recovery using optimization on the Grassmann manifold, F. Goyens, C. Cartis, A. Eftekhari. Applied and Computational Harmonic Analysis [ACHA] [Arxiv] [Code]
• (2024) Computing second-order points under equality constraints: revisiting Fletcher’s augmented Lagrangian, F. Goyens, A. Eftekhari, N. Boumal. To appear in JOTA [Arxiv].
• (2024) Riemannian trust-region methods for strict saddle functions with complexity guarantees, F. Goyens and Clément W. Royer. To appear in Mathematical Programming [ArXiv].

Preprints

• (2024) Registration of algebraic varieties using Riemannian optimization, F. Goyens, S. Chretien, C. Cartis [Arxiv] [Code]
• (2022) Computing second-order points under equality constraints: revisiting Fletcher’s augmented Lagrangian, F. Goyens, A. Eftekhari, N. Boumal. [Arxiv]

Conference papers

• (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

• 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)