Barycenters in the Wasserstein Space, SIAM Journal on Mathematical Analysis, vol.43, issue.2, pp.904-924, 2011. ,
DOI : 10.1137/100805741
URL : https://hal.archives-ouvertes.fr/hal-00637399
A theory of learning from different domains, Machine Learning, pp.151-175, 2010. ,
Analysis of representations for domain adaptation, NIPS, 2007. ,
Quantitative concentration inequalities for empirical measures on non-compact spaces. Prob. Theory and Related Fields, pp.3-4541, 2007. ,
Domain adaptation and sample bias correction theory and algorithm for regression, Theoretical Computer Science, vol.519, pp.103-126, 2014. ,
DOI : 10.1016/j.tcs.2013.09.027
Domain Adaptation with Regularized Optimal Transport, Proceedings of ECML/PKDD 2014, pp.1-16, 2014. ,
DOI : 10.1007/978-3-662-44848-9_18
URL : https://hal.archives-ouvertes.fr/hal-01018698
Optimal Transport for Domain Adaptation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.39, issue.9, 2016. ,
DOI : 10.1109/TPAMI.2016.2615921
URL : https://hal.archives-ouvertes.fr/hal-01103073
Sinkhorn distances: Lightspeed computation of optimal transport, NIPS, pp.2292-2300, 2013. ,
Fast computation of wasserstein barycenters, ICML, pp.685-693, 2014. ,
Wasserstein-Divergence transportation inequalities and polynomial concentration inequalities, Statistics & Probability Letters, vol.94, issue.C, pp.77-85, 2014. ,
DOI : 10.1016/j.spl.2014.07.013
On the rate of convergence in Wasserstein distance of the empirical measure. Probability Theory and Related Fields, pp.3-4707, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00915365
Tomographic reconstruction from a few views: a multi-marginal optimal transport approach, Applied Mathematics and Optimization, pp.1-19, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01065981
On the Translocation of Masses, Journal of Mathematical Sciences, vol.133, issue.4, pp.199-201, 1942. ,
DOI : 10.1007/s10958-006-0049-2
On a generalization of cyclic-monotonicity and distances among random vectors. Linear Algebra and its Appl, pp.363-371, 1994. ,
Domain adaptation: Learning bounds and algorithms, COLT, 2009. ,
Multiple source adaptation and the rényi divergence, UAI, pp.367-374, 2009. ,
Mémoire sur la théorie des déblais et des remblais, Histoire de l'Académie Royale des Sciences, pp.666-704 ,
A survey on transfer learning, IEEE Transactions on Knowledge and Data Engineering, vol.22, issue.10, pp.1345-1359, 2010. ,
Uniqueness and Monge Solutions in the Multimarginal Optimal Transportation Problem, SIAM Journal on Mathematical Analysis, vol.43, issue.6, pp.2758-2775, 2011. ,
DOI : 10.1137/100804917
Information and information stability of random variables and processes, 1964. ,
Wasserstein Barycenter and Its Application to Texture Mixing, SSVM, pp.435-446, 2011. ,
DOI : 10.1007/978-3-642-24785-9_37
The earth mover's distance as a metric for image retrieval, International Journal of Computer Vision, vol.40, issue.2, pp.99-121, 2000. ,
DOI : 10.1023/A:1026543900054
Integral Transforms, Reproducing Kernels and their Applications, Pitman Research Notes in Mathematics Series, 1997. ,
Equivalence of distance-based and RKHS-based statistics in hypothesis testing, The Annals of Statistics, vol.41, issue.5, pp.2263-2291, 2013. ,
DOI : 10.1214/13-AOS1140
Concerning nonnegative matrices and doubly stochastic matrices, Pacific Journal of Mathematics, vol.21, issue.2, pp.343-348, 1967. ,
DOI : 10.2140/pjm.1967.21.343
Optimal transport : old and new. Grundlehren der mathematischen Wissenschaften, 2009. ,
DOI : 10.1007/978-3-540-71050-9
Generalization bounds for domain adaptation, NIPS, 2012. ,
Mapping Estimation for Discrete Optimal Transport, NIPS, pp.4197-4205, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01376970