R. Al-rfou, G. Alain, A. Almahairi, C. Angermüller, D. Bahdanau et al., Theano: A python framework for fast computation of mathematical expressions, p.2688, 2016.

B. Avants, C. Epstein, M. Grossman, and J. Gee, Symmetric diffeomorphic image registration with cross-correlation: Evaluating automated labeling of elderly and neurodegenerative brain, Medical Image Analysis, vol.12, issue.1, pp.26-41, 2008.
DOI : 10.1016/j.media.2007.06.004

N. Charon and A. Trouvé, The Varifold Representation of Nonoriented Shapes for Diffeomorphic Registration, SIAM Journal on Imaging Sciences, vol.6, issue.4, pp.2547-2580, 2013.
DOI : 10.1137/130918885

L. Chizat, G. Peyré, B. Schmitzer, and F. X. Vialard, Scaling algorithms for unbalanced transport problems, Arxiv, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01434914

L. Chizat, B. Schmitzer, G. Peyré, and F. X. Vialard, An Interpolating Distance Between Optimal Transport and Fisher?Rao Metrics, Foundations of Computational Mathematics, vol.5, issue.2, 2016.
DOI : 10.1007/s10208-016-9331-y

M. Cuturi, Sinkhorn distances: Lightspeed computation of optimal transportation, Proc. NIPS, pp.2292-2300, 2013.

M. Cuturi and A. Doucet, Fast computation of Wasserstein barycenters, Proceedings of the 31st International Conference on Machine Learning (ICML), JMLR W&CP, 2014.

J. C. Gee, J. C. Gee, M. Reivich, M. Reivich, R. Bajcsy et al., Elastically Deforming 3D Atlas to Match Anatomical Brain Images, Journal of Computer Assisted Tomography, vol.17, issue.2, pp.225-236, 1993.
DOI : 10.1097/00004728-199303000-00011

P. Gori, O. Colliot, L. Marrakchi-kacem, Y. Worbe, F. De-vico-fallani et al., A Prototype Representation to Approximate White Matter Bundles with Weighted Currents, Proceedings of Medical Image Computing and Computer Aided Intervention (MIC- CAI'14) Part III LNCS, pp.289-296, 2014.
DOI : 10.1007/978-3-319-10443-0_37

URL : https://hal.archives-ouvertes.fr/hal-01010702

M. Liero, A. Mielke, and G. Savaré, Optimal entropy-transport problems and a new Hellinger?Kantorovich distance between positive measures, 2015.
DOI : 10.1137/15m1041420

URL : http://arxiv.org/abs/1509.00068

G. Montavon, K. R. Müller, and M. Cuturi, Wasserstein training of restricted Boltzmann machines, Adv. in Neural Information Processing Systems, 2016.

F. Santambrogio, Optimal transport for applied mathematicians, Progress in Nonlinear Differential Equations and their applications, 2015.
DOI : 10.1007/978-3-319-20828-2

D. Sejdinovic, B. Sriperumbudur, A. Gretton, and K. Fukumizu, 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

A. Sotiras, C. Davatzikos, and N. Paragios, Deformable Medical Image Registration: A Survey, IEEE Transactions on Medical Imaging, vol.32, issue.7, pp.1153-1190, 2013.
DOI : 10.1109/TMI.2013.2265603

URL : https://hal.archives-ouvertes.fr/hal-00684715

M. Vaillant and J. Glaunès, Surface Matching via Currents, Biennial International Conference on Information Processing in Medical Imaging, pp.381-392, 2005.
DOI : 10.1007/11505730_32

URL : https://hal.archives-ouvertes.fr/hal-00263652