Interests
- Optimal transport
- Optimal control
- Partial differential equations
About
I am a PhD student in mathematics at the University of Rouen Normandie. My research interests are in optimal transport and optimal control.
Exciting news: I’ll be defending my PhD on !
Research
I am interested in optimal control problems in the space of probability measures. I am currently working on necessary and sufficient conditions for optimal control problems driven by a non-local continuity equation. In particular, in the non-smooth analysis and geometry of the Wasserstein space. I am also interested in applications of optimal control to deep neural networks and machine learning.
Publications & preprints
- , “A Pontryagin Maximum Principle for State-Constrained Control Problems in Wasserstein Spaces.” SIAM Journal on Control and Optimization (accepted)
- , “Sensitivity Analysis for Free-Time Horizon Problems over Wasserstein Spaces.” (in preparation)
- , “Non-smooth analysis in the Wasserstein space for optimal control problems.” (in preparation)
- , “A Variational Approach to a Cumulative Distribution Function Estimation Problem Under Stochastic Ambiguity.” Set-Valued and Variational Analysis 32, 30 (2024) DOI