Infinite Dimensional Analysis: a Hitchhiker's Guide, 2006. ,
Differential inclusions, Grundlehren der Mathematischen Wissenschaften, vol.264 ,
URL : https://hal.archives-ouvertes.fr/hal-00915425
Set-valued maps and viability theory, 1984. ,
Poincaré's recurrence theorem for set-valued dynamical systems, Ann. Polon. Math, vol.54, issue.1, pp.85-91, 1991. ,
Stochastic approximations and differential inclusions, SIAM J. Control Optim, vol.44, issue.1, pp.328-348, 2005. ,
Adaptive algorithms and stochastic approximations, Applications of Mathematics, vol.22, 1990. ,
Constant step stochastic approximations involving differential inclusions: stability, long-run convergence and applications, Stochastics, vol.91, issue.2, pp.288-320, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02369439
Conservative set valued fields, automatic differentiation, stochastic gradient method and deep learning, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02521848
Clarke subgradients of stratifiable functions, SIAM Journal on Optimization, vol.18, issue.2, pp.556-572, 2007. ,
Nonsmooth analysis and control theory, Graduate Texts in Mathematics, vol.178, 1998. ,
URL : https://hal.archives-ouvertes.fr/hal-00863298
Stochastic subgradient method converges on tame functions, Found Comput Math, issue.20, pp.119-154, 2020. ,
Ergodic properties of weak asymptotic pseudotrajectories for set-valued dynamical systems, Stoch. Dyn, vol.13, issue.1, p.23, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00555214
Has'minski?. The averaging principle for parabolic and elliptic differential equations and Markov processes with small diffusion, Teor. Verojatnost. i Primenen, vol.8, pp.3-25, 1963. ,
An invitation to tame optimization, SIAM J. on Optimization, vol.19, issue.4, pp.1894-1917, 2009. ,
Provably correct automatic sub-differentiation for qualified programs, Advances in Neural Information Processing Systems, vol.31, pp.7125-7135, 2018. ,
Stochastic approximation and recursive algorithms and applications, Applications of Mathematics, vol.35, 2003. ,
Generic differentiability of Lipschitzian functions, Transactions of the American Mathematical Society, vol.256, pp.125-144, 1979. ,
Analysis of nonsmooth stochastic approximation: the differential inclusion approach, 2018. ,
Markov Chains and Stochastic Stability, 2009. ,
Automatic differentiation in PyTorch, 2017. ,
Stochastic approximations with constant step size and differential inclusions, SIAM J. Control Optim, vol.51, issue.1, pp.525-555, 2013. ,
Geometric categories and o-minimal structures, Duke Math. J, vol.84, issue.2, pp.497-540, 1996. ,