29th International Summer School in Automatic Control of Grenoble
September 16-19, 2008, Grenoble

Optimization On Manifolds: theory and applications

Main lecturers Program Course slides More information

Main lecturers

Pierre-Antoine ABSIL (Mathematical Engineering, Université catholique de Louvain, Belgium)
Knut HUEPER (Canberra Research Lab, National ICT Australia)
Michel JOURNEE (Electrical and Computer Engineering, Université de Liège, Belgium)
Robert MAHONY(Engineering, Australian National University, Canberra, Australia)
Mark PLUMBLEY (Center for Digital Music, Queen Mary University of London, UK)
Rodolphe SEPULCHRE (Electrical and Computer Engineering, Université de Liège, Belgium)
Fabian THEIS (Bioinformatics and Systems Biology, Helmholtz Zentrum München, Germany)

Program

PROGRAM
Tuesday, September 16	Morning session (8h45 - 12h30): 8h45 - 9h00 : Welcome and summer school overview - R. Sepulchre 9h00 - 10h00: Optimization on manifolds: an introduction - P.-A. Absil 10h00 - 11h00: A manifold look at the eigenvalue problem - R. Sepulchre 11h00 - 11h30: Coffee break 11h30 - 12h30: Manifolds, submanifolds, quotient manifolds R. Mahony Afternoon session (14h - 17h30): 14h00 - 15h00 :Presentation of Matlab project - M. Journée 15h30 - 17h30: Biomedical signal processing - F. Theis
Wednesday, September 17	Morning session (9h00 - 12h30): 9h00 - 11h00: Steepest descent on manifolds - R. Mahony 11h00 - 11h30: Coffee break 11h30 - 12h30: Lab session (review of concepts) P.-A. Absil Afternoon session (14h - 17h30): 14h00 - 16h00: Audio signal processing - M. Plumbley 16h30 - 17h30: Matlab session - M. Journée
Thursday, September 18	Morning session (9h00 - 12h30): 9h00 - 10h00: Newton method - R. Sepulchre 10h00 - 11h00: Riemannian connection on quotient manifolds - P.-A. Absil 11h00 - 11h30: Coffee break 11h30 - 12h30: Rayleigh Quotient algorithms - R. Sepulchre Afternoon session (14h - 17h30): 14h00 - 16h00: Manifold-based computer vision - K. Hueper 16h30 - 17h30: Matlab session - M. Journée
Friday, September 19	Morning session (9h00 - 12h30): 9h00 - 11h00: Conjugate Gradient and trust-region methods - P.-A. Absil 11h00 - 11h30: Coffee break 11h30 - 12h30: Matlab session - M. Journée Afternoon session (14h - 16h00): Outlook and research problems 14h00 - 14h30: Manifold-based low-rank optimization -- M. Journée 14h30 - 15h00: Grasmmannian packings -- C. Lageman 15h00 - 15h30: Computing with low-rank positive semidefinite matrices -- R. Sepulchre 15h30 - 16h00: A bibliographical survey -- P.-A. Absil

Course slides

The course is based in part on the book Optimization Algorithms on Matrix Manifolds.

Slides:

More information

For further information on the summer school, see the Grenoble Summer School home page. Please feel free to contact Rodolphe Sepulchre or Pierre-Antoine Absil.

Pierre-Antoine Absil

29th International Summer School in Automatic Control of Grenoble September 16-19, 2008, Grenoble