Research
I'm interested in optimization for imaging applications. Since the start of my PhD I investigate the convergence of proximal algorithms tailored for large-scale problems. Such algorithms can take the form of multilevel algorithms but also block-coordinate descent algorithms, which are often used in imaging applications. I also try to apply these algorithms to as many challenging imaging problems I can.
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IML FISTA: A Multilevel Framework for Inexact and Inertial Forward-Backward. Application to Image Restoration
Guillaume Lauga,
Elisa Riccietti,
Nelly Pustelnik,
Paulo Gonçalves
SIAM Journal on Imaging Sciences, 2024
Matlab code
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arXiv
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HAL
IML FISTA: An Inexact Multilevel FISTA. Optimal convergence guarantees on non-smooth convex optimization problems and ability to handle inexact computation of the proximity operator. Some applications to restoration of color and hyperspectral images.
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A multilevel framework for accelerating uSARA in radio-interferometric imaging
Guillaume Lauga,
Audrey Repetti,
Elisa Riccietti,
Nelly Pustelnik,
Paulo Gonçalves,
Yves Wiaux
EUSIPCO, 2024   (Poster)
BASP Group project page
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arXiv
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HAL
Application of IML FISTA to solve radio-interferometric imaging problems. Hierarchy of approximations built in the observation space rather than in the parameter space.
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Website source code from here.
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