P. Comon and C. Jutten, Handbook of Blind Source Separation, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00460653

M. Pal, R. Roy, J. Basu, and M. S. Bepari, Blind source separation: A review and analysis, Oriental COCOSDA held jointly with 2013 Conference on Asian Spoken Language Research and Evaluation, pp.1-5, 2013.

D. D. Lee and H. S. Seung, Learning the parts of objects by nonnegative matrix factorization, Nature, vol.401, issue.6755, pp.788-791, 1999.

D. D. Lee and H. S. Seung, Algorithms for non-negative matrix factorization, Proceedings of the 13th International Conference on Neural Information Processing Systems, pp.535-541, 2000.

C. Févotte, N. Bertin, and J. L. Durrieu, Nonnegative matrix factorization with the itakura-saito divergence: With application to music analysis, Neural Computation, vol.21, issue.3, pp.793-830, 2009.

A. Ozerov and C. Févotte, Multichannel nonnegative matrix factorization in convolutive mixtures for audio source separation, IEEE Transactions on, vol.18, issue.3, pp.550-563, 2010.

M. Aharon, M. Elad, and A. Bruckstein, K-SVD: An algorithm for designing overcomplete dictionaries for sparse representation, IEEE Transactions on Signal Processing, vol.54, issue.11, pp.4311-4322, 2006.

K. Stadlthanner, F. J. Theis, C. G. Puntonet, and E. W. Lang, Extended sparse nonnegative matrix factorization, Computational Intelligence and Bioinspired Systems, vol.3512, pp.249-256, 2005.

M. Bevilacqua, A. Roumy, C. Guillemot, and M. L. , K-WEB: Nonnegative dictionary learning for sparse image representations, IEEE International Conference on Image Processing (ICIP), 2013.
URL : https://hal.archives-ouvertes.fr/hal-00876018

C. L. Lawson and R. J. Hanson, Solving least squares problems, vol.15, p.161, 1995.

M. W. Berry, M. Browne, A. N. Langville, V. P. Pauca, and R. J. Plemmons, Algorithms and applications for approximate nonnegative matrix factorization, Computational Statistics Data Analysis, vol.52, issue.1, pp.155-173, 2007.

R. Zadeh, H. Li, B. He, M. Lublin, and Y. Perez, Cme 323: Distributed algorithms and optimization, spring 2015, 2015.

P. L. Combettes and J. C. Pesquet, Proximal Splitting Methods in Signal Processing, Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00643807

R. Tibshirani, Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society, Series B, vol.58, pp.267-288, 1994.

Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers, vol.1, pp.40-44, 1993.

P. J. Schmid, Dynamic mode decomposition of numerical and experimental data, Journal of Fluid Mechanics, vol.656, pp.5-28, 2010.
URL : https://hal.archives-ouvertes.fr/hal-01020654

N. Takeishi, Y. Kawahara, and T. Yairi, Sparse Nonnegative Dynamic Mode Decomposition, IEEE International Conference on Image Processing (ICIP), 2017.

N. Takeishi, Y. Kawahara, Y. Tabei, and T. Yairi, Bayesian dynamic mode decomposition, Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, pp.2814-2821, 2017.

A. Hannachi, I. T. Jolliffe, and D. B. Stephenson, Empirical orthogonal functions and related techniques in atmospheric science: A review, International Journal of Climatology, vol.27, issue.9, pp.1119-1152, 2007.

E. Agustsson, R. Timofte, and L. Van-gool, Regressor Basis Learning for Anchored Super-Resolution, IEEE International Conference on Pattern Recognition (ICPR), 2016.

M. M. Ali, D. Swain, and R. A. Weller, Estimation of ocean subsurface thermal structure from surface parameters: A neural network approach, Geophysical Research Letters, vol.31, issue.20, p.20308, 2004.

K. S. Casey and D. Adamec, Sea surface temperature and sea surface height variability in the north pacific ocean from 1993 to 1999, Journal of Geophysical Research: Oceans, vol.107, issue.C8, pp.14-15, 2002.

U. Hausmann and A. Czaja, The observed signature of mesoscale eddies in sea surface temperature and the associated heat transport, Deep Sea Research Part I: Oceanographic Research Papers, vol.70, pp.60-72, 2012.

J. Isern-fontanet, B. Chapron, G. Lapeyre, and P. Klein, Potential use of microwave sea surface temperatures for the estimation of ocean currents, Geophysical Research Letters, vol.33, issue.24, p.24608, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00270261

E. W. Leuliette and J. M. Wahr, Coupled pattern analysis of sea surface temperature and TOPEX/Poseidon sea surface height, Journal of Physical Oceanography, vol.29, issue.4, p.1, 1999.

M. Saraceno, C. Provost, and A. R. Piola, On the relationship between satellite-retrieved surface temperature fronts and chlorophyll a in the western south atlantic, Journal of Geophysical Research: Oceans, vol.110, issue.C11, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00124846

J. Isern-fontanet, M. Shinde, and C. González-haro, On the transfer function between surface fields and the geostrophic stream function in the Mediterranean Sea, Journal of Physical Oceanography, vol.44, pp.1406-1423, 2014.

C. González-haro and J. Isern-fontanet, Global ocean current reconstruction from altimetric and microwave SST measurements, Journal of Geophysical Research: Oceans, vol.119, issue.6, pp.3378-3391, 2014.

P. Tandeo, B. Chapron, S. Ba, E. Autret, and R. Fablet, Segmentation of mesoscale ocean surface dynamics using satellite sst and ssh observations, IEEE Transactions on, vol.52, issue.7, pp.4227-4235, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00947965

G. H. Golub and C. Reinsch, Singular value decomposition and least squares solutions, Numer. Math, vol.14, issue.5, pp.403-420, 1970.

B. O. Koopman, Hamiltonian systems and transformations in hilbert space, Proceedings of the National Academy of Sciences of the United States of America, vol.17, issue.5, pp.315-318, 1931.

K. Pearson, On lines and planes of closest fit to systems of points in space, Philosophical Magazine Series, vol.6, issue.11, pp.559-572, 1901.

A. H. Monahan, J. C. Fyfe, M. H. Ambaum, D. B. Stephenson, and G. R. North, Empirical orthogonal functions: The medium is the message, Journal of Climate, vol.22, issue.24, pp.6501-6514, 2009.

S. T. Roweis and L. K. Saul, Nonlinear dimensionality reduction by locally linear embedding, Science, vol.290, issue.5500, pp.2323-2326, 2000.

M. Lopez-radcenco, A. Aissa-el-bey, P. Ailliot, P. Tandeo, and R. Fablet, Non-negative decomposition of linear relationships: Application to multi-source ocean remote sensing data, 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.4179-4183, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01298201

A. L. Boulesteix and K. Strimmer, Partial least squares: a versatile tool for the analysis of high-dimensional genomic data, Briefings in Bioinformatics, vol.8, issue.1, pp.32-44, 2007.

A. Buades, B. Coll, and J. M. Morel, A non-local algorithm for image denoising, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05), vol.2, pp.60-65, 2005.

M. Lopez-radcenco, A. Aissa-el-bey, P. Ailliot, and R. Fablet, Nonnegative decomposition of geophysical dynamics, ESANN 2017 proceedings, European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01596464

C. and S. Burrus, Iterative reweighted least squares, 2012.

M. Lopez-radcenco, R. Fablet, A. Aissa-el-bey, and P. Ailliot, Locally-adapted convolution-based super-resolution of irregularlysampled ocean remote sensing data, 2017 IEEE International Conference on Image Processing (ICIP), pp.4307-4311, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01735256