- Numerical linear algebra.
- Riemannian geometry and matrix manifolds.
- Low-rank matrix and tensor decompositions.
- Convex optimization.
- Machine learning.
- Computational fluid dynamics.
- 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.
Master project (EPFL)
M.Sc. thesis in Civil Engineering (Politecnico di Milano)
Talks and slides
Talks on pose estimation algorithms:
- 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).
Workshops and conferences
- 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.