Publications

• Augmented Lagrangian methods for degenerate Hamilton-Jacobi equations, with N.Igbida and V.T.Nguyen. Calc. Var. Partial Differential Equations. HAL Link-Journal Link.
• Continuous Lambertian Shape From Shading: A primal-dual algorithm, with N.Igbida and V.T.Nguyen. ESAIM: Mathematical Modelling and Numerical Analysis. Journal Link.
• Beckmann-type problem for degenerate Hamilton-Jacobi equations, with N.Igbida and V.T.Nguyen. Quarterly of Applied Mathematics. HAL Link-Journal Link.
• Quasi-convex Hamilton–Jacobi equations via limits of Finsler $p$-Laplace type operators, with N.Igbida and V.T.Nguyen. SIAM J. Math. Anal. HAL Link-arXiv Link-Journal Link .
• Tug of War games and PDEs on graphs with applications in image and high dimensional data processing, with Y.Quéau and A.Elmoataz. Scientific Reports. Journal Link.
• A primal-dual algorithm for computing Finsler distances and applications, with Y.Quéau and A.Elmoataz. (in review). HAL Link.
• Robust risk management via multi-marginal optimal transport, with Q.Mérigot, L.Nenna and B.Pass. To appear in J. Optim. Theory Appl. arXiv Link.
• Prediction-Correction Pedestrian Flow by Means of Minimum Flow Problem, with N.Igbida and G.Jradi. Mathematical Models and Methods in Applied Sciences (M3AS). HAL Link-arXiv Link-Journal Link.

Ongoing works

• Stochastic Monotone Inclusion with Closed Loop Distributions, avec J.Fadili et H.Attouch.
• Quasivariational approach for the obstacle HJ equation.
• HJ on metric random walk spaces.

Master’s thesis

• On Multi-Marginal Optimal Partial Transport PDF, under the supervision of Q.Mérigot.