Adrien Cances

Currently a PhD Student in my fourth (and last) year at the Laboratoire de Mathématiques d'Orsay, the primary focus of my research endeavours lies in optimal transport problems and some of their variations, particularly in the semi-discrete and multimarginal settings.

Research interest

The main focus of the thesis is the development of a particle discretization method to solve a nonlinear multi-marginal transport problem, motivated by risk estimation issues. This Lagrangian approach gives rise to various problems that are of particular interest to me: regularization of transport problems, uniform quantification of measures, as well as its numerical solution, semi-discrete partial transport, etc.

 Publications/preprints

• Unidimensional semi-discrete partial optimal transport
  Adrien Cances, Hugo Leclerc
  Submitted, preprint available
• Particle method for a nonlinear multimarginal optimal transport problem
  Adrien Cances, Quentin Mérigot, Luca Nenna
  In preparation
• An ODE characterization of a generalized semi-discrete optimal transport problem
  Adrien Cances, Luca Nenna, Daniyar Omarov, Brendan Pass
  In preparation
• More to come in the next few months, stay tuned!