Winter School Search for Latent Variables ICA, Tensors, and NMF Pierre Comon, Christian Jutten GIPSA-lab CNRS, Universit´ e de Grenoble Alpes, and Institut Universitaire de France February, 2-4, 2015, Villard-de-Lans
Introduction CHESS project CHESS means CHallenges for Extraction and Separation of Sources Three challenges: Multimodality 1 Nonlinear mixtures 2 Source Extraction in high- and low-dimension data 3 Applications domains: heart and brain imaging, hyperspectral imaging, chemical sensor arrays, audio-video speech/sound processing Winter School, Villard de Lans, 2-4 February 2015. 2
Introduction CHESS team Permanent team members and collaborators: P .-O. Amblard, M. 1 Babaie-Zadeh (Iran), J. Chanussot, M. Congedo, L. Duarte (Brazil), O. Michel, R. Phlypo, B. Rivet, Past and current post-doc.: L. Amini, A. Bourrier, S. Henrot, D. Lahat, 2 B. Ouedraogo, M. Niknazar, E. Suviseshamuthu PhD students: F . Afdideh, R. Ando, S. Chlaily, L. Drumetz, B. 3 Ehsandoust, L. Korczowsky, P . Narvor, S. Noorzadeh, F . Seddighin Winter School, Villard de Lans, 2-4 February 2015. 3
Introduction DECODA project DecoDa means Tensor DECOmpositions for Data Analysis, with applications to heath and environment Three-fold: Theory, Algorithms and Applications Theory: Existence & Uniqueness of low-rank approximations (e.g. 1 nonnegative, coupled...) Algorithms: optimization, links with structured matrices.. 2 Applications: antenna array processing, biomedical, water quality 3 monitoring, food and sustainable development, snow and glaciers Winter School, Villard de Lans, 2-4 February 2015. 4
Introduction DECODA team Permanent team members: J-M.Brossier, P .Comon, M.Gay, O.Michel, 1 B.Rivet External permanent collaborators: David Brie (Nancy), Rasmus Bro 2 (Copenhagen), Lek-Heng Lim (Chicago), Xavier Luciani (Toulon), Bernard Mourrain (Sophia Antipolis), Giorgio Ottaviani (Firenze) Post-docs: R.Cabral, Y.Qi, S.Sahnoun, K.Usevich, M.Veganzones 3 PhD students: J.Cohen, F .Raimondi 4 Winter School, Villard de Lans, 2-4 February 2015. 5
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