I will give a talk about our work on “Projected gradient descent for non-convex sparse spike estimation” at iTWIST 2020 in Nantes.
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Author: ytraonmilin
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New preprint
We upload a new preprint on non-convex methods for linear inverse problems with low-dimensional models with Jean-François Aujol and Arthur Leclaire : “The basins of attraction of the global minimizers of non-convex inverse problems with low-dimensional models in infinite dimension”
Abstract: “Non-convex methods for linear inverse problems with low-dimensional models have emerged as an alternative to convex techniques. We propose a theoretical framework where both finite dimensional and infinite dimensional linear inverse problems can be studied. We show how the size of the the basins of attraction of the minimizers of such problems is linked with the number of available measurements. This framework recovers known results about low-rank matrix estimation and off-the-grid sparse spike estimation, and it provides new results for Gaussian mixture estimation from linear measurements.”
My young researcher project was accepted for funding by Agence Nationale de la Recherche. The project EFFIREG « Efficient Regularization of High-Dimensional Inverse Problems for Data Processing » is starting soon. Internship and PhD position offer coming soon !
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Talk at GDR MIA thematic day
• I will be presenting my latest work on non-convex methods at the GDR MIA thematic day in Toulouse : Non-convex sparse optimization, ENSEEIHT, Toulouse, 9 octobre 2020.
Our paper « Projected gradient descent for non-convex sparse spike estimation » was accepted in IEEE Signal Processing Letters.
Our paper « The basins of attraction of the global minimizers of the non-convex sparse spikes estimation problem » was accepted for publication in Inverse Problems.
I was interviewed in « CNRS Le journal » (french). I talk mostly about my professional path and how I became a mathematician at CNRS. Check it out!
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Past news
• I will be at the Optimisation on Measure Spaces Workshop in November to present my latest work on sparse spike super-resolution.
• I will be presenting my work with J.-F. Aujol at the SPARS 2019 workshop. Title of my talk: « On the non-convex sparse spike estimation problem: explicit basins of attractions of global minimizers »
• I will be presenting a follow-up of our work on optimal regularization at ITWIST 2018 (November 21st-23rd) (abstract): Is the 1-norm the best convex sparse regularization? , Yann Traonmilin, Samuel Vaiter and Rémi Gribonval. Stay tuned for the full manuscript to come!
• I will be presenting the following work about the concept of optimal regularization at NCMIP 2018 (May 25th) and at the Institut de Mathématiques de Toulouse’s « séminaire MIP » (May 22nd) in May :
• With the support of the GDR MIA, we are organizing a thematic workshop on « Sparsity and applications » (journée parcimonie et application) in Bordeaux, May 3rd 2018. Check the website for our call for contributions and details about organization.
• I will be presenting my latest work on spikes super-resolution at the IOP seminar at IMB Bordeaux November, 9th, 2017 and at the SPOC seminar at Institut de Mathématiques de Bourgogne in Dijon, December 13th, 2017.
• My latest work on statistical learning, super-resolution and phase unmixing will be presented at the SPARS 2017 workshop. We have three communications:
Spikes super-resolution with random Fourier sampling, Y. Traonmilin, N. Keriven, R. Gribonval and G. Blanchard.
Random Moments for Sketched Mixture Learning, N. Keriven, R. Gribonval, G. Blanchard and Y. Traonmilin.
Signal Separation with Magnitude Constraints : a Phase Unmixing Problem, A. Deleforge and Y. Traonmilin.
• I will be presenting my latest work on compressive statistical learning and super-resolution (follow-up of Compressive K-means) at the SMAI 2017 congress in June .
Super-résolution d’impulsions de Diracs par échantillonnage de Fourier aléatoire. Y. Traonmilin, N. Keriven, R. Gribonval and G. Blanchard. Abstract in French.
• A preprint of a digest of our work on compressed sensing in Hilbert spaces (with Gilles Puy, Rémi Gribonval and Mike E. Davies) is availaible :
Compressed sensing in Hilbert spaces. Y. Traonmilin, G. Puy, R. Gribonval and M. E. Davies
• Our work with Nicolas Keriven, Nicolas Tremblay and Rémi Gribonval has been accepted at ICASSP 2017. It showcases how a database can be compressed in order to perform the K-means clustering task on huge volume of data:
Compressive K-means. N. Keriven, N. Tremblay, Y. Traonmilin and R. Gribonval
• Our work with Antoine Deleforge has been accepted at ICASSP 2017. This work opens an interesting new line of research in the domain of source separation.
Phase Unmixing : Multichannel Source Separation with Magnitude Constraints. A. Deleforge and Y. Traonmilin.
• Our article Stable recovery of low-dimensional cones in Hilbert spaces: One RIP to rule them all has been accepted for publication in Applied and Computational Harmonic Analysis (follow the link to access « In press » ACHA version).
I gave a talk September 13th at the IEEE Information Theory Workshop 2016, Cambridge, UK.
Our latest preprint is available :
Stable recovery of low-dimensional cones in Hilbert spaces: One RIP to rule them all
Yann Traonmilin and Rémi Gribonval. https://hal.archives-ouvertes.fr/hal-01207987
I presented my work, March 10th at the mathematics for image processing seminar of Descartes University and Telecom Paristech in Paris.
I presented my work, January 29th 2016 at the Rennes Statistics Seminar.
I presented my work with R. Gribonval at the GDR ISIS day in Marseille October 8th : http://www.gdr-isis.fr/index.php?page=reunion&idreunion=280
Journée Science et Musique 2015, organised by PANAMA team in Rennes is on September 26th! http://jsm.irisa.fr/
I presented my work with R. Gribonval at the missDATA2015 conference in Rennes http://missdata2015.agrocampus-ouest.fr/infoglueDeliverLive/