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Research interests

• Numerical linear algebra.
• Riemannian geometry and matrix manifolds.
• Low-rank matrix and tensor decompositions.
• Convex optimization.
• Scientific machine learning.
• Computational fluid dynamics.

My ORCID

https://orcid.org/0000-0002-8410-1372

Peer-reviewed publications

• Riemannian multigrid line search for low-rank problems, M. Sutti, B. Vandereycken, SIAM J. Sci. Comput., 43(3), A1803–A1831.

bibtex



@article{Sutti_V:2021,
  author  = {Sutti, M. and Vandereycken, B.},
  title   = {Riemannian multigrid line search for low-rank problems},
  journal = {SIAM J. Sci. Comput.},
  volume  = {43},
  number  = {3},
  pages   = {A1803--A1831},
  year    = {2021},
  doi     = {10.1137/20M1337430}
}
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Technical reports

• Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations, M. Sutti, B. Vandereycken, Tech. report (submitted), May 2023.

bibtex



@article{Sutti_V:2023b,
  author  = {Sutti, M. and Vandereycken, B.},
  title   = {Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations},
  journal = {arXiv preprint arXiv:2305.11532},
  month   = {May},
  year    = {2023}
}
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• The leapfrog algorithm as nonlinear Gauss-Seidel, M. Sutti, B. Vandereycken, Tech. report (submitted), January 2023.

bibtex



@article{Sutti_V:2023,
  author  = {Sutti, M. and Vandereycken, B.},
  title   = {The leapfrog algorithm as nonlinear {G}auss--{S}eidel},
  journal = {arXiv preprint arXiv:2010.14137v3},
  month   = {Jan},
  year    = {2023}
}
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• SPHM: a MATLAB package for Smoothed Particle Hydrodynamics simulations, M. Sutti, Tech. report, September 2022.

bibtex



@article{Sutti:2022a,
  author  = {Sutti, M.},
  title   = {SPHM: a MATLAB package for Smoothed Particle Hydrodynamics simulations},
  journal = {arXiv preprint arXiv:2209.05189},
  month   = {Sept},
  year    = {2022}
}
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Software

• HZLS, MATLAB implementation of the Hager–Zhang line-search technique, November 2022.
• SPHM: A MATLAB package for SPH simulations, September 2022.
• LFMS_Stiefel, MATLAB code for the paper The leapfrog algorithm as nonlinear Gauss-Seidel and my Ph.D. thesis, November 2021.

If you use LFMS_Stiefel for your research, please kindly cite chapter 2 of my Ph.D. thesis, and the preprint The leapfrog algorithm as nonlinear Gauss-Seidel.

• RMGLS: A MATLAB algorithm for Riemannian multilevel optimization. MATLAB code for the paper Riemannian multigrid line search for low-rank problems, available on Yareta doi.org/10/ghp6ng, June 2020.

If you use RMGLS for your research, please kindly cite the paper Riemannian multigrid line search for low-rank problems.

Ph.D. Thesis

• Riemannian Algorithms on the Stiefel and the Fixed-Rank Manifold, M. Sutti, Ph.D. thesis, University of Geneva, December 2020.

bibtex



@phdthesis{Sutti:2020,
  author = {Sutti, M.},
  title  = {Riemannian algorithms on the {S}tiefel and the fixed-rank manifold},
  pdf    = {https://archive-ouverte.unige.ch/unige:146438},
  school = {Section de mathématiques, University of Geneva},
  year   = {2020},
  month  = {Dec}
}
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Master project (EPFL)

• Analysis and Optimization of Perfectly Matched Layers for the Boltzmann Equation, M. Sutti, master project, EPFL, June 2015.

bibtex



@mastersthesis{Sutti:2015,
  author = {Sutti, M.},
  title  = {Analysis and optimization of perfectly matched layers for the {B}oltzmann equation},
  pdf    = {https://www.marcosutti.net/theses/Sutti_Marco_Master_Project.pdf},
  school = {Computational Mathematics and Simulation Science, EPFL},
  year   = {2015},
  month  = {Jun}
}
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M.Sc. thesis in Civil Engineering (Politecnico di Milano)

• A Study on the Dynamic Response of Plates Subjected to Blast Loadings by means of Pressure-Impulse Diagrams, M. Sutti, L. A. Gonzalez, master thesis, Politecnico di Milano, October 2010.

bibtex



@mastersthesis{Sutti_G:2010,
  author = {Sutti, M. and Gonzalez, L. A.},
  title  = {A study on the dynamic response of plates subjected to blast loadings by means of pressure--impulse diagrams},
  pdf    = {https://www.marcosutti.net/theses/2010_10_Sutti_Gonzalez.pdf},
  school = {Politecnico di Milano},
  year   = {2010},
  month  = {Oct}
}
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Other contributions

• I thank R. Zimmermann and K. Hüper, authors of the paper Computing the Riemannian Logarithm on the Stiefel Manifold: Metrics, Methods, and Performance, for their kind acknowledgement.
• In 2010, as part of my M.Sc. thesis in Civil Engineering at Politecnico di Milano, I developed the numerical algorithms used in the paper Pressure–impulse diagrams for RC and FRC circular plates under blast loads. I thank the authors M. Colombo and P. Martinelli for their kind acknowledgement.

Talks and slides

• 10 Nov 2022: Image segmentation on Riemannian manifolds, MeDA Seminar, Taipei, Taiwan. Notes on BFGS. Slides. Printer-friendly version. Watch video.
• 27 Oct 2022: Computing geodesics on the Stiefel manifold, MeDA Seminar, Taipei, Taiwan. Download slides. Watch video.
• 12 Oct 2022: Computing geodesics on the Stiefel manifold, Taipei Postdoc Seminar, Taipei, Taiwan. Download slides.
• 29 Aug 2022: Federated Learning on Riemannian Manifolds, National Taiwan University, Taipei, Taiwan. Download slides. Watch video.
• 29 Apr 2022: Numerical optimization on matrix manifolds, Academia Sinica, Taipei, Taiwan. Download slides. Download animations (zip archive).

• EfficientHRNet and Lite-HRNet, June 2021.
• The OpenPose algorithm, May 2021.

Posters

• Connecting geodesics for the Stiefel manifold, Swiss Numerics Day, 2018.
• Multiple shooting for Stiefel geodesics, Matrix Equations and Tensor Techniques VII, 2017.
• Analysis and optimization of perfectly matched layers for the Boltzmann equation, Swiss Numerics Colloquium, 2016.
• Analysis and Optimization of Perfectly Matched Layers for the Boltzmann Equation, Poster on the master project at EPFL, 2015.

Workshops and conferences

• 20 - 25 Aug 2023: 10th International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo, Japan.
• 20 - 21 May 2023: 11th TWSIAM Annual Meeting, National Taiwan Normal University, Taipei, Taiwan.
• 5 - 8 Aug 2019: International Conference on Continuous Optimization 2019, TU Berlin, Germany.
• 14 - 15 May 2018: Structured Matrix Days 2018, ENS Lyon, France.
• 20 Apr 2018: Swiss Numerics Day, ETH Zürich, Switzerland.
• 29 - 31 Aug 2017: Stepping Stone Symposium on Theoretical and Numerical Analysis of PDEs, University of Geneva, Switzerland.
• 28 Apr 2017: Swiss Numerical Analysis Day, University of Basel, Switzerland.
• 13 - 14 Feb 2017: Matrix Equations and Tensor Techniques VII, University of Pisa, Italy.
• 22 Apr 2016: Swiss Numerics Colloquium, University of Fribourg, Switzerland.

Winter schools

• 12 - 17 Jan 2020: Low-rank Models 2020 (local organizer), Villars-sur-Ollon (VD), Switzerland.
• 3 - 7 Apr 2017: Winter School on Hierarchical Matrices, Christian-Albrechts-Universität zu Kiel, Germany.
• 6 - 13 Jan 2017: Tensor Decompositions and (Large-Scale) Applications, KU Leuven, Belgium.