Research

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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

Perfectly matched layers for the Boltzmann equation: stability and sensitivity analysis, M. Sutti, J. S. Hesthaven, accepted for publication in J. Comput. Phys., April 2024.

bibtex

@article{Sutti_H:2023,
  author  = {Sutti, M. and Hesthaven, J. S.},
  title   = {Perfectly matched layers for the Boltzmann equation: stability and sensitivity analysis},
  journal = {arXiv preprint arXiv:2312.03273},
  month   = {Dec},
  year    = {2023}
}

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}
}

Technical reports

A single shooting method with approximate Fréchet derivative for computing geodesics on the Stiefel manifold, M. Sutti, Tech. report (submitted), April 2024.

bibtex

@article{Sutti:2024,
  author  = {Sutti, M.},
  title   = {A single shooting method with approximate {F}r\'{e}chet derivative for computing geodesics on the {S}tiefel manifold},
  journal = {arXiv preprint arXiv:2404.04089},
  month   = {Apr},
  year    = {2024}
}

Riemannian gradient descent for spherical area-preserving mappings, M. Sutti, M.-H. Yueh, Tech. report (submitted), March 2024.

bibtex

@article{Sutti_Yueh:2024,
  author  = {Sutti, M. and Yueh, M.-H.},
  title   = {Riemannian gradient descent for spherical area-preserving mappings},
  journal = {arXiv preprint arXiv:2403.11726},
  month   = {Mar},
  year    = {2024}
}

Shooting methods for computing geodesics on the Stiefel manifold, M. Sutti, Tech. report (submitted), September 2023.

bibtex

@article{Sutti:2023,
  author  = {Sutti, M.},
  title   = {Shooting methods for computing geodesics on the Stiefel manifold},
  journal = {arXiv preprint arXiv:2309.03585},
  month   = {Sept},
  year    = {2023}
}

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}
}

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}
}

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}
}

Software

PrecRTR, MATLAB code associated with the preprint Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations, September 2023.

If you use PrecRTR for your research, please kindly cite the preprint Implicit low-rank Riemannian schemes for the time integration of stiff partial differential equations.

HZLS, MATLAB implementation of the Hager–Zhang line-search technique, November 2022.
SPHM: A MATLAB package for SPH simulations, MATLAB code associated with the homonymous preprint, September 2022.
LFMS_Stiefel, MATLAB code associated with the preprint 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 associated with 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}
}

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}
}

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. Official POLITesi webpage.

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}
}

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

23 Mar 2024: Numerical simulations using low-rank approximation, 2024 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing, National Center for High-Performance Computing in Hsinchu Science Park, Hsinchu, Taiwan. Download slides.
29 Jan 2024: Schwarz methods for computing geodesics, King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia. Download slides.
27 Nov 2023: Numerical simulations using low-rank approximation, CFD Seminar, National Taiwan University of Science and Technology, Taipei, Taiwan. Download slides.
2 Nov 2023: Numerical optimization on matrix manifolds, NCKU Mathematics Colloquium, National Cheng Kung University, Tainan, Taiwan. Download slides. Download animations (zip archive).
4 Sep 2023: Implicit low-rank Riemannian schemes for the time integration of stiff PDEs, NCTS Postdoc Symposium, NCTS, Taipei, Taiwan. Slides.
25 Aug 2023: An efficient preconditioner for the Riemannian trust-region method on the manifold of fixed-rank matrices, Waseda University, Tokyo, Japan. Slides.
13 Mar 2023: An efficient preconditioner for the Riemannian trust-region method on the manifold of fixed-rank matrices, NCTS Spring Day, NCTS, Taipei, Taiwan.
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).

Talks on pose estimation algorithms:

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

22 - 23 Mar 2024: 2024 Conference on Advanced Topics and Auto Tuning in High-Performance Scientific Computing, National Center for High-Performance Computing in Hsinchu Science Park, Hsinchu, Taiwan.
28 Jan - 1 Feb 2024: 28th International Conference on Domain Decomposition Methods (DD28), King Abdullah University of Science and Technology (KAUST), Thuwal, Saudi Arabia.
22 - 23 Jan 2024: 2024 TMS Annual Meeting, National Chengchi University, Taipei, Taiwan.
9 Dec 2023: NCTS-Kyoto Mathematics Symposium, NCTS, Taipei, Taiwan.
20 - 25 Aug 2023: 10th International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo, Japan.
29 - 30 Jun 2023: 32nd South Taiwan Statistics Conference, National Dong Hwa University, Hualien, Taiwan.
20 - 21 May 2023: 11th TWSIAM Annual Meeting, National Taiwan Normal University, Taipei, Taiwan.
13 Mar 2023: NCTS Spring Day, National Center for Theoretical Sciences, National Taiwan 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 ium 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.