Dynamical optimal transport on discrete surfaces H Lavenant, S Claici, E Chien, J Solomon ACM Transactions on Graphics (TOG) 37 (6), 1-16, 2018 | 69 | 2018 |
Toward a mathematical theory of trajectory inference H Lavenant, S Zhang, YH Kim, G Schiebinger The Annals of Applied Probability 34 (1A), 428-500, 2024 | 46 | 2024 |
Optimal density evolution with congestion: L∞ bounds via flow interchange techniques and applications to variational Mean Field Games H Lavenant, F Santambrogio Communications in Partial Differential Equations 43 (12), 1761-1802, 2018 | 35 | 2018 |
Mechanical magnetometry of Cobalt nanospheres deposited by focused electron beam at the tip of ultra-soft cantilevers H Lavenant, V Naletov, O Klein, G De Loubens, L Casado, JM De Teresa Nanofabrication 1 (1), 2014 | 25 | 2014 |
Harmonic mappings valued in the Wasserstein space H Lavenant Journal of Functional Analysis 277 (3), 688-785, 2019 | 21 | 2019 |
Unconditional convergence for discretizations of dynamical optimal transport H Lavenant Mathematics of Computation 90 (328), 739-786, 2021 | 19 | 2021 |
Regularized unbalanced optimal transport as entropy minimization with respect to branching brownian motion A Baradat, H Lavenant arXiv preprint arXiv:2111.01666, 2021 | 18 | 2021 |
Total variation isoperimetric profiles D DeFord, H Lavenant, Z Schutzman, J Solomon SIAM Journal on Applied Algebra and Geometry 3 (4), 585-613, 2019 | 17 | 2019 |
The flow map of the fokker–planck equation does not provide optimal transport H Lavenant, F Santambrogio Applied Mathematics Letters 133, 108225, 2022 | 16 | 2022 |
New estimates on the regularity of the pressure in density‐constrained mean field games H Lavenant, F Santambrogio Journal of the London Mathematical Society 100 (2), 644-667, 2019 | 11 | 2019 |
Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation H Lavenant Calculus of Variations and Partial Differential Equations 56 (6), 170, 2017 | 11 | 2017 |
A Wasserstein index of dependence for random measures M Catalano, H Lavenant, A Lijoi, I Prünster Journal of the American Statistical Association, 1-11, 2023 | 6 | 2023 |
Hidden convexity in a problem of nonlinear elasticity N Ghoussoub, YH Kim, H Lavenant, AZ Palmer SIAM Journal on Mathematical Analysis 53 (1), 1070-1087, 2021 | 4 | 2021 |
Courbes et applications optimales ŕ valeurs dans l'espace de Wasserstein H Lavenant Université Paris-Saclay, 2019 | 4 | 2019 |
Opinion propagation on social networks: a mathematical standpoint H Lavenant, B Maury ESAIM: Proceedings and Surveys 67, 285-335, 2020 | 3 | 2020 |
Optimal curves and mappings valued in the Wasserstein space H Lavenant HAL 2019, 2019 | 2 | 2019 |
Convergence rate of random scan Coordinate Ascent Variational Inference under log-concavity H Lavenant, G Zanella arXiv preprint arXiv:2406.07292, 2024 | | 2024 |
The Riemannian geometry of Sinkhorn divergences H Lavenant, J Luckhardt, G Mordant, B Schmitzer, L Tamanini arXiv preprint arXiv:2405.04987, 2024 | | 2024 |
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps H Lavenant, L Monsaingeon, L Tamanini, D Vorotnikov Calculus of Variations and Partial Differential Equations 63 (2), 54, 2024 | | 2024 |
Hierarchical Integral Probability Metrics: A distance on random probability measures with low sample complexity M Catalano, H Lavenant arXiv preprint arXiv:2402.00423, 2024 | | 2024 |