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Estimating optimal transport (OT) maps (a.k.a.
On the translocation of masses
Kantorovitch, L · 1942
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I I -divergence geometry of probability distributions and minimization problems
Csiszár, I · 1975
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On a formula for the l 2 l^{2} wasserstein metric between measures on euclidean and hilbert spaces
Gelbrich, M · 1990
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Polar factorization and monotone rearrangement of vector-valued functions
Brenier, Y · 1991
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The matrix cookbook
Petersen, K. B., Pedersen, M. S., et al · 2008
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Introduction to the non-asymptotic analysis of random matrices
Vershynin, R · 2012
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Probability in high dimension
Van Handel, R · 2014
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Optimal transport for applied mathematicians
Santambrogio, F · 2015
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Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration
Altschuler, J., Weed, J., and Rigollet, P · 2017
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Wasserstein generative adversarial networks
Arjovsky, M., Chintala, S., and Bottou, L · 2017
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Semidual regularized optimal transport
Cuturi, M. and Peyré, G · 2018
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Learning generative models with sinkhorn divergences
Genevay, A., Peyré, G., and Cuturi, M · 2018
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Ffjord: Free-form continuous dynamics for scalable reversible generative models
Grathwohl, W., Chen, R. T., Bettencourt, J., Sutskever, I., and Duvenaud, D · 2018
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Improving GANs using optimal transport
Salimans, T., Zhang, H., Radford, A., and Metaxas, D · 2018
Cited alongside, same era.
Interpolating between optimal transport and mmd using sinkhorn divergences
Feydy, J., Séjourné, T., Vialard, F.-X., Amari, S.-i., Trouvé, A., and Peyré, G · 2019
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On the difference between entropic cost and the optimal transport cost
Pal, S · 2019
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Computational optimal transport
Peyré, G. and Cuturi, M · 2019
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A formula for the time derivative of the entropic cost and applications
Conforti, G. and Tamanini, L · 2021
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Rates of estimation of optimal transport maps using plug-in estimators via barycentric projections
Deb, N., Ghosal, P., and Sen, B · 2021
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Unsupervised integration of single-cell multi-omics datasets with disparities in cell-type representation
Demetci, P., Santorella, R., Sandstede, B., and Singh, R · 2021
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Pot: Python optimal transport
Flamary, R., Courty, N., Gramfort, A., Alaya, M. Z., Boisbunon, A., Chambon, S., Chapel, L., Corenflos, A., Fatras, K., Fournier, N., Gautheron, L., Gayraud, N. T., Janati, H., Rakotomamonjy, A., Redko, I., Rolet, A., Schutz, A., Seguy, V., Sutherland, D. J., Tavenard, R., Tong, A., and Vayer, T · 2021
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Convex Potential Flows: Universal Probability Distributions with Optimal Transport and Convex Optimization
Huang, C.-W., Chen, R. T. Q., Tsirigotis, C., and Courville, A · 2021
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Optimal-transport analysis of single-cell gene expression identifies developmental trajectories in reprogramming
Schiebinger, G., Shu, J., Tabaka, M., Cleary, B., Subramanian, V., Solomon, A., Gould, J., Liu, S., Lin, S., Berube, P., et al · 2019
Cited alongside, same era.
Stabilized sparse scaling algorithms for entropy regularized transport problems
Schmitzer, B · 2019
Cited alongside, same era.
Faster Wasserstein distance estimation with the Sinkhorn divergence
Chizat, L., Roussillon, P., Léger, F., Vialard, F.-X., and Peyré, G · 2020
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Learning normalizing flows from entropy-kantorovich potentials
Finlay, C., Gerolin, A., Oberman, A. M., and Pooladian, A.-A · 2020
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Entropic optimal transport between unbalanced gaussian measures has a closed form
Janati, H., Muzellec, B., Peyré, G., and Cuturi, M · 2020
Cited alongside, same era.
Regularity as regularization: Smooth and strongly convex brenier potentials in optimal transport
Paty, F.-P., d’Aspremont, A., and Cuturi, M · 2020
Cited alongside, same era.
Predicting cell lineages using autoencoders and optimal transport
Yang, K. D., Damodaran, K., Venkatachalapathy, S., Soylemezoglu, A. C., Shivashankar, G., and Uhler, C · 2020
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Minimax estimation of smooth optimal transport maps
Hütter, J.-C. and Rigollet, P · 2021
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Entropy-regularized 2-wasserstein distance between gaussian measures
Mallasto, A., Gerolin, A., and Minh, H. Q · 2021
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Plugin estimation of smooth optimal transport maps
Manole, T., Balakrishnan, S., Niles-Weed, J., and Wasserman, L · 2021
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Novosparc: flexible spatial reconstruction of single-cell gene expression with optimal transport
Moriel, N., Senel, E., Friedman, N., Rajewsky, N., Karaiskos, N., and Nitzan, M · 2021
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Near-optimal estimation of smooth transport maps with kernel sums-of-squares
Muzellec, B., Vacher, A., Bach, F., Vialard, F.-X., and Rudi, A · 2021
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Entropic estimation of optimal transport maps
Pooladian, A.-A. and Niles-Weed, J · 2021
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