Statistical Optimal Transport
Enseignant
STROMME Austin
Département : Statistics
Crédits ECTS :
2
Heures de cours :
18
Heures de TD :
0
Langue :
Anglais
Modalité d'examen :
mém+CC
Références
Ajtai, Miklós, János Komlós, and Gábor Tusnády. "On optimal matchings." Combinatorica 4 (1984): 259-264.
Dobri?, V., and Joseph E. Yukich. "Asymptotics for transportation cost in high dimensions." Journal of Theoretical Probability 8 (1995): 97-118
Dudley, Richard Mansfield. "The speed of mean Glivenko-Cantelli convergence." The Annals of Mathematical Statistics 40.1 (1969): 40-50.
Fournier, Nicolas, and Arnaud Guillin. "On the rate of convergence in Wasserstein distance of the empirical measure." Probability Theory and Related Fields 162.3-4 (2015): 707-738.
Leighton, T., and P. Shor. "Tight bounds for minimax grid matching with applications to the average case analysis of algorithms." Combinatorica 9.2 (1989): 161-187.
Talagrand, Michel. Upper and lower bounds for stochastic processes: decomposition theorems. Vol. 60. Springer Nature, 2022.
Weed, Jonathan, and Francis Bach. "Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance." Bernoulli 25.4A (2019): 2620-2648.