On the Limitation of Spectral Methods: From the Gaussian Hidden Clique Problem to Rank One Perturbations of Gaussian Tensors, IEEE Transactions on Information Theory, vol.63, issue.3, pp.1572-1579, 2017. ,
DOI : 10.1109/TIT.2016.2637959
Spectral Analysis of Large Dimensional Random Matrices, 2010. ,
DOI : 10.1007/978-1-4419-0661-8
Informationtheoretic bounds and phase transitions in clustering, sparse PCA, and submatrix localization, 2017 IEEE International Symposium on Information Theory (ISIT), pp.1137-1141, 2017. ,
DOI : 10.1109/tit.2018.2810020
URL : http://arxiv.org/pdf/1607.05222
The singular values and vectors of low rank perturbations of large rectangular random matrices, Journal of Multivariate Analysis, vol.111, pp.120-135, 2012. ,
DOI : 10.1016/j.jmva.2012.04.019
URL : https://hal.archives-ouvertes.fr/hal-00575203
Performance of Statistical Tests for Single-Source Detection Using Random Matrix Theory, IEEE Transactions on Information Theory, vol.57, issue.4, pp.2400-2419, 2011. ,
DOI : 10.1109/TIT.2011.2111710
URL : https://hal.archives-ouvertes.fr/hal-00421980
On the non-detectability of spiked large random tensors, IEEE workshop on SSP, pp.443-447, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01798509
, Elements of Information Theory, 2006.
Large Deviations Techniques and Applications, 2009. ,
Operator-valued spectral measures and large deviations, Journal of Statistical Planning and Inference, vol.154, issue.3, pp.72-86, 2014. ,
DOI : 10.1016/j.jspi.2014.02.005
URL : https://hal.archives-ouvertes.fr/hal-00870276
Fundamental limits of symmetric lowrank matrix estimation. arXiv:1611.03888v3 [math, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01648368
A trace inequality of John von Neumann, Monatshefte für Mathematik, pp.303-306, 1975. ,
DOI : 10.1007/BF01647331
Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples, IEEE Transactions on Signal Processing, vol.56, issue.7, pp.2625-2637, 2008. ,
DOI : 10.1109/TSP.2008.917356
Asymptotic power of sphericity tests for high-dimensional data, The Annals of Statistics, vol.41, issue.3, pp.1204-1231, 2013. ,
DOI : 10.1214/13-AOS1100SUPP
A Determinant Maximization Problem Occurring in the Theory of Data Communication, SIAM Journal on Applied Mathematics, vol.29, issue.3, pp.515-522, 1975. ,
DOI : 10.1137/0129043