Near-optimal estimation of simultaneously sparse and low-rank matrices from nested linear measurements. Information and Inference: A, Journal of the IMA, vol.5, pp.331-351, 2016. ,
Sampling and reconstructing signals from a union of linear subspaces, IEEE Transactions on Information Theory, vol.57, pp.4660-4671, 2011. ,
ROP: Matrix recovery via rank-one projections, The Annals of Statistics, vol.43, pp.102-138, 2015. ,
Tight oracle inequalities for low-rank matrix recovery from a minimal number of noisy random measurements, IEEE Transactions on Information Theory, vol.57, pp.2342-2359, 2011. ,
Phaselift: exact and stable signal recovery from magnitude measurements via convex programming, Communications on Pure and Applied Mathematics, vol.66, pp.1241-1274, 2013. ,
Approximation of functions of few variables in high dimensions, Constructive Approximation, vol.33, pp.125-143, 2011. ,
Sparse PCA from inaccurate and incomplete measurements, 2018. ,
Sampling Schemes and Recovery Algorithms for Functions of Few Coordinate Variables, 2019. ,
Sparse recovery with pre-Gaussian random matrices, Studia Math, vol.200, pp.91-102, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00767062
An IHT algorithm for sparse recovery from sub-exponential measurements, IEEE Signal Processing Letters, vol.24, pp.1280-1283, 2017. ,
A Mathematical Introduction to Compressive Sensing. Applied and Numerical Harmonic Analysis, 2013. ,
Iterative hard thresholding for low-rank recovery from rank-one projections, Linear Algebra and its Applications, vol.572, pp.117-134, 2019. ,
Sparse power factorization: balancing peakiness and sample complexity, Advances in Computational Mathematics, vol.45, pp.1711-1728, 2019. ,
Inexact gradient projection and fast data driven compressed sensing, IEEE Transactions on Information Theory, vol.64, pp.6707-6721, 2018. ,
Approximation algorithms for model-based compressive sensing, IEEE Transactions on Information Theory, vol.61, pp.5129-5147, 2015. ,
Robust sparse phase retrieval made easy, Applied and Computational Harmonic Analysis, vol.42, pp.135-142, 2017. ,
Stable low-rank matrix recovery via null space properties, Information and Inference, vol.5, pp.405-441, 2016. ,
Low rank matrix recovery from rank one measurements, Applied and Computational Harmonic Analysis, vol.42, pp.88-116, 2017. ,
Near-optimal compressed sensing of a class of sparse low-rank matrices via sparse power factorization, IEEE Transactions on Information Theory, vol.64, pp.1666-1698, 2017. ,
NP-hardness and inapproximability of sparse PCA, Information Processing Letters, vol.126, pp.35-38, 2017. ,
Almost-polynomial ratio ETH-hardness of approximating densest k-subgraph, STOC'17-Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, pp.954-961, 2017. ,
Simultaneously structured models with application to sparse and low-rank matrices, IEEE Transactions on Information Theory, vol.61, pp.2886-2908, 2015. ,
Low rank tensor recovery via iterative hard thresholding, Linear Algebra and Its Applications, vol.523, pp.220-262, 2018. ,
Reliable recovery of hierarchically sparse signals and application in machine-type communications, 2016. ,
Hierarchical restricted isometry property for Kronecker product measurements, 56th Annual Allerton Conference on Communication, Control, and Computing, pp.632-638, 2018. ,
, A tight bound of hard thresholding, 2016.