Publications and preprints

• Weak optimal transport with moment constraints: constraint qualification, dual attainment and entropic regularization
  Guillaume Carlier, Hugo Malamut, Maxime Sylvestre.
  arXiv:2511.16211, 2025.
• A synthetic approach to comparison principles for variational problems, with applications to optimal transport
  Flavien Léger, Maxime Sylvestre.
  arXiv:2506.18884, 2025. [Slides]
• Global Regularity Estimates for Optimal Transport via Entropic Regularisation
  Nathael Gozlan, Maxime Sylvestre.
  arxiv:2501.11382, 2025. [Slides]
• On a class of adversarial classification problems which admit a continuous solution
  Guillaume Carlier, Maxime Sylvestre.
  arxiv:2502.21170, 2025.
• Implicit Bias in Noisy-SGD: With Applications to Differentially Private Training
  Tom Sander, Maxime Sylvestre, Alain Durmus.
  AISTATS, 2024.
• Convergence Rates of the Regularized Optimal Transport : Disentangling Suboptimality and Entropy
  Hugo Malamut, Maxime Sylvestre.
  SIAM Journal on Mathematical Analysis, 2023. [Slides]
• Monotone comparative statics for submodular functions, with an application to aggregated deferred acceptance
  Alfred Galichon, Yu-Wei Hsieh, Maxime Sylvestre.
  arxiv:2304.12171, 2023. [Slides]