Learning computationally efficient dictionaries and their implementation as fast transforms, 1406. ,
URL : https://hal.archives-ouvertes.fr/hal-01010577
Chasing butterflies: In search of efficient dictionaries, 2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2015. ,
DOI : 10.1109/ICASSP.2015.7178579
URL : https://hal.archives-ouvertes.fr/hal-01104696
An algorithm for the machine calculation of complex Fourier series, Mathematics of Computation, vol.19, issue.90, pp.297-301, 1965. ,
DOI : 10.1090/S0025-5718-1965-0178586-1
Computation of the Fast Walsh-Fourier Transform, IEEE Transactions on Computers, vol.18, issue.5, pp.457-459, 1969. ,
DOI : 10.1109/T-C.1969.222685
A Fast Computational Algorithm for the Discrete Cosine Transform, IEEE Transactions on Communications, vol.25, issue.9, pp.1004-1009, 1977. ,
DOI : 10.1109/TCOM.1977.1093941
A theory for multiresolution signal decomposition: the wavelet representation Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.11, issue.7, pp.674-693, 1989. ,
The Linear Complexity of Computation, Journal of the ACM, vol.22, issue.2, pp.184-194, 1975. ,
DOI : 10.1145/321879.321881
Matching pursuits with time-frequency dictionaries, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.3397-3415, 1993. ,
DOI : 10.1109/78.258082
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, Communications on Pure and Applied Mathematics, vol.58, issue.11, pp.1413-1457, 2004. ,
DOI : 10.1002/cpa.20042
Signal recovery from random measurements via orthogonal matching pursuit Information Theory, IEEE Transactions on, vol.53, issue.12, pp.4655-4666, 2007. ,
Iterative Thresholding for Sparse Approximations, Journal of Fourier Analysis and Applications, vol.73, issue.10, pp.629-654, 2008. ,
DOI : 10.1007/s00041-008-9035-z
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems, SIAM Journal on Imaging Sciences, vol.2, issue.1, pp.183-202, 2009. ,
DOI : 10.1137/080716542
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.231.3271
Dictionaries for Sparse Representation Modeling, Proceedings of the IEEE, pp.1045-1057, 2010. ,
DOI : 10.1109/JPROC.2010.2040551
URL : https://hal.archives-ouvertes.fr/inria-00565811
Double Sparsity: Learning Sparse Dictionaries for Sparse Signal Approximation, IEEE Transactions on Signal Processing, vol.58, issue.3, pp.1553-1564, 2010. ,
DOI : 10.1109/TSP.2009.2036477
Toward Fast Transform Learning, International Journal of Computer Vision, vol.60, issue.12, pp.195-216, 2015. ,
DOI : 10.1007/s11263-014-0771-z
URL : https://hal.archives-ouvertes.fr/hal-00862903
The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains, IEEE Signal Processing Magazine, vol.30, issue.3, pp.83-98, 2013. ,
DOI : 10.1109/MSP.2012.2235192
FAµST: speeding up linear transforms for tractable inverse problems, EUSIPCO, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01156478
Proximal alternating linearized minimization for nonconvex and nonsmooth problems, Mathematical Programming, pp.1-36, 2013. ,
DOI : 10.1007/s10107-013-0701-9
URL : https://hal.archives-ouvertes.fr/hal-00916090
SciPy: Open source scientific tools for Python, 2001. ,
Sample complexity of dictionary learning and other matrix factorizations Information Theory, IEEE Transactions on, vol.61, issue.6, pp.3469-3486, 2015. ,
Rapid solution of integral equations of classical potential theory, Journal of Computational Physics, vol.60, issue.2, pp.187-207, 1985. ,
DOI : 10.1016/0021-9991(85)90002-6
A Sparse Matrix Arithmetic Based on $\Cal H$ -Matrices. Part I: Introduction to ${\Cal H}$ -Matrices, Computing, vol.62, issue.2, pp.89-108, 1999. ,
DOI : 10.1007/s006070050015
Fast Computation of Fourier Integral Operators, SIAM Journal on Scientific Computing, vol.29, issue.6, pp.2464-2493, 2007. ,
DOI : 10.1137/060671139
Fast wavelet transforms and numerical algorithms I, Communications on Pure and Applied Mathematics, vol.1, issue.2, pp.141-183, 1991. ,
DOI : 10.1002/cpa.3160440202
Dictionary Learning, IEEE Signal Processing Magazine, vol.28, issue.2, pp.27-38, 2011. ,
DOI : 10.1109/MSP.2010.939537
From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images, SIAM Review, vol.51, issue.1, pp.34-81, 2009. ,
DOI : 10.1137/060657704
Learning fast approximations of sparse coding, Proceedings of the 27th Annual International Conference on Machine Learning, ser. ICML '10, pp.399-406, 2010. ,
Learning efficient sparse and low rank models Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.37, issue.9, pp.1821-1833, 2015. ,
k-sparse autoencoders, 1312. ,
Treelets???An adaptive multi-scale basis for sparse unordered data, The Annals of Applied Statistics, vol.2, issue.2, pp.435-471, 2008. ,
DOI : 10.1214/07-AOAS137
The Sparse Matrix Transform for Covariance Estimation and Analysis of High Dimensional Signals, IEEE Transactions on Image Processing, vol.20, issue.3, pp.625-640, 2011. ,
DOI : 10.1109/TIP.2010.2071390
On algorithms for sparse multi-factor NMF, Advances in Neural Information Processing Systems, pp.602-610, 2013. ,
Sparse matrix factorization, 1311. ,
Provable bounds for learning some deep representations, 1310. ,
Multiresolution matrix factorization, pp.1620-1628, 2014. ,
Wavelets on graphs via deep learning, Advances in Neural Information Processing Systems 26, pp.998-1006, 2013. ,
Greedy layerwise training of deep networks Advances in neural information processing systems, p.153, 2007. ,
Learning Deep Architectures for AI, Foundations and Trends?? in Machine Learning, vol.2, issue.1, pp.1-127, 2009. ,
DOI : 10.1561/2200000006
Reducing the Dimensionality of Data with Neural Networks, Science, vol.313, issue.5786, pp.504-507, 2006. ,
DOI : 10.1126/science.1127647
Combining sparsity and rotational invariance in EEG/MEG source reconstruction, NeuroImage, vol.42, issue.2, pp.726-738, 2008. ,
DOI : 10.1016/j.neuroimage.2008.04.246
Mixed-norm estimates for the M/EEG inverse problem using accelerated gradient methods, Physics in Medicine and Biology, vol.57, issue.7, pp.1937-1961, 2012. ,
DOI : 10.1088/0031-9155/57/7/1937
URL : https://hal.archives-ouvertes.fr/hal-00690774
MNE software for processing MEG and EEG data, NeuroImage, vol.86, issue.0, pp.446-460, 2014. ,
DOI : 10.1016/j.neuroimage.2013.10.027
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3930851
An interiorpoint method for large-scale l1-regularized least squares Selected Topics in Signal Processing, IEEE Journal, vol.1, issue.4, pp.606-617, 2007. ,
Method of optimal directions for frame design, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258), pp.2443-2446, 1999. ,
DOI : 10.1109/ICASSP.1999.760624
<tex>$rm K$</tex>-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation, IEEE Transactions on Signal Processing, vol.54, issue.11, pp.4311-4322, 2006. ,
DOI : 10.1109/TSP.2006.881199
Online learning for matrix factorization and sparse coding, Journal of Machine Learning Research, vol.11, issue.1, pp.19-60, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00408716
Efficient Implementation of the K-SVD Algorithm using Batch Orthogonal Matching Pursuit, 2008. ,
Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries, IEEE Transactions on Image Processing, vol.15, issue.12, pp.3736-3745, 2006. ,
DOI : 10.1109/TIP.2006.881969
The sample complexity of dictionary learning, The Journal of Machine Learning Research, vol.12, pp.3259-3281, 2011. ,
K-Dimensional Coding Schemes in Hilbert Spaces Information Theory, IEEE Transactions on, vol.56, issue.11, pp.5839-5846, 2010. ,