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Kernel-based optimal transport (OT) estimators offer an alternative, functional estimation procedure to address OT problems from samples.
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SDPNAL++: a majorized semismooth Newton-CG augmented Lagrangian method for semidefinite programming with nonnegative constraints
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Wasserstein training of restricted Boltzmann machines
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Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance
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Estimation of smooth densities in Wasserstein distance
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Hard shape-constrained kernel machines
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Faster Wasserstein distance estimation with the Sinkhorn divergence
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Learning with minibatch wasserstein: asymptotic and gradient properties
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Multi-subject MEG/EEG source imaging with sparse multi-task regression
H. Janati, T. Bazeille, B. Thirion, M. Cuturi, and A. Gramfort · 2020
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Input convex neural networks
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Wasserstein generative adversarial networks
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Joint distribution optimal transportation for domain adaptation
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Multilevel clustering via Wasserstein means
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A highly efficient semismooth Newton augmented Lagrangian method for solving Lasso problems
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Projection robust Wasserstein distance and Riemannian optimization
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Optimal transport mapping via input convex neural networks
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Statistical and topological properties of sliced probability divergences
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Predicting cell lineages using autoencoders and optimal transport
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Learning single-cell perturbation responses using neural optimal transport
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Rates of estimation of optimal transport maps using plug-in estimators via barycentric projections
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Minimax estimation of smooth optimal transport maps
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Wasserstein-2 generative networks
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On projection robust optimal transport: Sample complexity and model misspecification
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Plugin estimation of smooth optimal transport maps
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Near-optimal estimation of smooth transport maps with kernel sums-of-squares
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Entropic estimation of optimal transport maps
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A dimension-free computational upper-bound for smooth optimal transport estimation
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Finite-time last-iterate convergence for learning in multi-player games
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Optimal transport tools (OTT): A jax toolbox for all things wasserstein
M. Cuturi, L. Meng-Papaxanthos, Y. Tian, C. Bunne, G. Davis, and O. Teboul · 2022
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A multiscale semismooth Newton method for optimal transport
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Estimation of Wasserstein distances in the spiked transport model
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