Y. N. Dauphin, R. Pascanu, C. Gulcehre, K. Cho, S. Ganguli et al., Identifying and attacking the saddle point problem in high-dimensional nonconvex optimization, Advances in neural information processing systems, pp.2933-2941, 2014.

A. Choromanska, M. Henaff, M. Mathieu, G. B. Arous, and Y. Lecun, The loss surfaces of multilayer networks, Artificial Intelligence and Statistics, pp.192-204, 2015.

J. Pennington and Y. Bahri, Geometry of neural network loss surfaces via random matrix theory, International Conference on Machine Learning, pp.2798-2806, 2017.

A. M. Saxe, J. L. Mcclelland, and S. Ganguli, Exact solutions to the nonlinear dynamics of learning in deep linear neural networks, 2013.

C. Louart and R. Couillet, Harnessing neural networks: a random matrix approach, IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'17), 2017.
URL : https://hal.archives-ouvertes.fr/hal-01957760

C. Louart, Z. Liao, and R. Couillet, A random matrix approach to neural networks, Press) Annals of Applied Probability, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01962070

G. Huang, Q. Zhu, and C. Siew, Extreme learning machine: theory and applications, Neurocomputing, vol.70, issue.1, pp.489-501, 2006.

M. Ledoux, The concentration of measure phenomenon, 2005.

R. Vershynin, High dimensional probability, 2017.

C. Louart, R. Couillet, and F. Benaych-georges, Sample covariance of concentrated random vectors

T. Tao, Topics in random matrix theory, vol.132, 2012.

R. Couillet and M. Debbah, Random Matrix Methods for Wireless Communications, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00658725

Z. D. Bai and J. W. Silverstein, Spectral analysis of large dimensional random matrices, 2009.

F. Benaych-georges and R. R. Nadakuditi, The singular values and vectors of low rank perturbations of large rectangular random matrices, Journal of Multivariate Analysis, vol.111, pp.120-135, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00575203

F. Benaych-georges and R. Couillet, Spectral analysis of the gram matrix of mixture models, ESAIM: Probability and Statistics, vol.20, pp.217-237, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01215342

J. A. Suykens and J. Vandewalle, Least squares support vector machine classifiers, Neural processing letters, vol.9, pp.293-300, 1999.

R. C. Liao, A large dimensional analysis of least squares support vector machines, Journal of Machine Learning Research, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02048984

S. Chatterjee, Fluctuations of eigenvalues and second order poincaré inequalities, Probability Theory and Related Fields, vol.143, pp.1-40, 2009.

Y. Lecun, C. Cortes, and C. Burges, The MNIST database of handwritten digits, 1998.