Xavier Dupuis

Xavier Dupuis

PhD in Applied Mathematics


Maître de conférences

Université de Bourgogne
Institut de Mathématiques de Bourgogne
9, avenue Alain Savary
21000 Dijon, France

xavier.dupuis at u-bourgogne.fr
+33 3 80 39 58 32
bureau 329 (bâtiment Mirande, aile A, étage 3)

CV


Full CV
  • PhD in Applied Mathematics (Ecole Polytechnique), 2013.
  • Master's degree in Mathematics (Ecole Normale Supérieure de Lyon), 2010.
  • Agrégation de Mathématiques, 2009.

Research interests


  • Optimal control in finite and infinite dimensional settings, Pontryagin's principle, dynamic programming
  • Optimization methods, machine learning, inverse problems with sparsity, optimal transportation
  • Applications and modelling in economics, biology and medicine

Publications


  • X. Dupuis, S. Vaiter, The Geometry of Sparse Analysis Regularization. Submitted, 2019. arXiv, preprint
  • G. Carlier, X. Dupuis. An iterated projection approach to variational problems under generalized convexity constraints. Appl. Math. Optim., 76(3), 565-592, 2017. lien, article
  • J-D. Benamou, X. Dupuis. Semi-discrete principal-agent problem. Jupyter Notebook, 2016. notebook (password: mokaplan), version statique
  • J.F. Bonnans, X. Dupuis, L. Pfeiffer. Second-order necessary conditions in Pontryagin form for optimal control problems. SIAM J. Control Optim., 52(6):3887-3916, 2014. link, article
  • J.F. Bonnans, X. Dupuis, L. Pfeiffer. Second-order sufficient conditions for strong solutions to optimal control problems. ESAIM Control Optim. Calc. Var., 20(3):704-724, 2014. link, article
  • X. Dupuis. Optimal control of leukemic cell population dynamics. Math. Model. Nat. Phenom., 9(1):4-26, 2014. link, article
  • J.F. Bonnans, C. de la Vega, X. Dupuis. First and second order optimality conditions for optimal control problems of state constrained integral equations. J. Optim. Theory Appl., 159(1):1-40, 2013. link, article

PhD thesis


Optimal control of differential equations with - or without - memory. November 2013. link, manuscript