Publications

Preprints

  • Gadat, S. & Panloup, F. & Pellegrini, C. On the cost of Bayesian posterior mean strategy for log-concave models (2020).
  • Gadat, S. & Gavra, I. Asymptotic study of stochastic adaptive algorithm in non-convex landscape (2020).
  • Aujol, J.F. & Dossal, C. & Rondepierre, A. Convergence rates of the Heavy-Ball methods with Lojasiewicz property, (2020).
  • Aujol, J.F. & Dossal, C. & Rondepierre, A. Convergence rates of the Heavy-Ball methods for quasi-strongly convex optimization, (2020).
  • Serrurier, M. & Mamalet, F. &  González-Sanz, A. & Boissin, T. & Loubes, J-M. & del Barrio, E. Achieving robustness in classification using optimal transport with hinge regularization, (2020).
  • Bolte, J. &  Glaudin, L. & Pauwels, E.& Serrurier, M. A Hölderian backtracking method for min-max and min-min problems, (2020).

Publication lists

2021

  • Fort, G. & Gach, P. & Moulines, E. & Fast Incremental Expectation Maximization for finite-sum optimization: nonasymptotic convergence, 2021. Statistics and Computing.
  • Dragomir, R. & d’Aspremont, A. & Bolte, J. Quartic first-Order methods for low rank minimization. Journal of Optimization Theory and Applications, 2021.
  • Dragomir, R. & Taylor, A. & d’Aspremont, A. & Bolte, J. Optimal Complexity and Certification of Bregman First-Order Methods. Mathematical Programming, 2021
  • Bercu, B. & Bigot, J. Asymptotic distribution and convergence rates of stochastic algorithms for entropic optimal transportation between probability measures, Annals of Statistics, 2021.
  • Marx, S. & Pauwels, E.  & Weisser, T.  & Henrion, D. & Lasserre, J. B.. Semi-algebraic approximation using Christoffel-Darboux kernel. Constructive Approximation (2021).

2020

  • Renault, J. & Ziliotto, B. Limit equilibrium payoffs in stochastic games, Mathematics of Operation Research – 45(3), 2020.
  • Bolte, J. & Pauwels, E. A mathematical model for automatic differentiation in machine learning, Advances in Neural Information Processing Systems , 2020, Spotlight Presentation.
  • Chen, T. & Lasserre, J.B. & Magron, V. & Pauwels, E. Semialgebraic optimization for Lipschitz constants of ReLU networks. Advances in Neural Information Processing Systems (2020).
  • Pauwels, E. & Putinar, M. & Lasserre, J.B. Data analysis from empirical moments and the Christoffel function. Foundations of Computational Mathematics (2020).
  • Buckdhan, R. & Renault, J. & Quincampoix, M. Representation formulas for limit values of long run stochastic optimal controls. Siam Journal on Control and Optimization – 58(4), 2020.
  • Laraki, R. & Renault, J. Acyclic gambling games, Mathematics of Operation Research – 45(4), 2020.
  • Renault, J. & Ziliotto, B. Hidden stochastic games and limit equilibrium, Games and Economics Behavior - (124), 2020.
  • De Castro, Y. & Gadat, S. & Marteau, C. & Maugis, C. SuperMix: Sparse regularization for mixture, Annals of Statistics, 2020.
  • Sebbouh, O. & Dossal, C. & Rondepierre, A. Convergence rates of damped inertial dynamics under geometric conditions, SIAM Journal on Optimization - 30(3), 2020.
  • Bolte, J. & Pauwels, E. Conservative set valued fields, automatic differentiation, stochastic gradient method and deep learning. Mathematical Programming,  2020.

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