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The sliced Wasserstein (SW) distances between two probability measures are defined as the expectation of the Wasserstein distance between two one-dimensional projections of the two measures.
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GANs trained by a two time-scale update rule converge to a local Nash equilibrium
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Multilevel clustering via Wasserstein means
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Bharath Bhushan Damodaran, Benjamin Kellenberger, Rémi Flamary, Devis Tuia, and Nicolas Courty · 2018
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Generative modeling using the sliced Wasserstein distance
Ishan Deshpande, Ziyu Zhang, and Alexander G Schwing · 2018
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Sliced Wasserstein distance for learning Gaussian mixture models
Soheil Kolouri, Gustavo K Rohde, and Heiko Hoffmann · 2018
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Pot: Python optimal transport
Rémi Flamary, Nicolas Courty, Alexandre Gramfort, Mokhtar Z. Alaya, Aurélie Boisbunon, Stanislas Chambon, Laetitia Chapel, Adrien Corenflos, Kilian Fatras, Nemo Fournier, Léo Gautheron, Nathalie T.H. Gayraud, Hicham Janati, Alain Rakotomamonjy, Ievgen Redko, Antoine Rolet, Antony Schutz, Vivien Seguy, Danica J. Sutherland, Romain Tavenard, Alexander Tong, and Titouan Vayer · 2021
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Fast approximation of the sliced-Wasserstein distance using concentration of random projections
Kimia Nadjahi, Alain Durmus, Pierre E Jacob, Roland Badeau, and Umut Simsekli · 2021
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Distributional sliced-Wasserstein and applications to generative modeling
Khai Nguyen, Nhat Ho, Tung Pham, and Hung Bui · 2021
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Sliced Wasserstein variational inference
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Hilbert curve projection distance for distribution comparison
Tao Li, Cheng Meng, Jun Yu, and Hongteng Xu · 2022
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Takeru Miyato, Toshiki Kataoka, Masanori Koyama, and Yuichi Yoshida · 2018
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Wasserstein auto-encoders
Ilya Tolstikhin, Olivier Bousquet, Sylvain Gelly, and Bernhard Schoelkopf · 2018
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Generalized sliced Wasserstein distances
Soheil Kolouri, Kimia Nadjahi, Umut Simsekli, Roland Badeau, and Gustavo Rohde · 2019
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Sliced Wasserstein discrepancy for unsupervised domain adaptation
Chen-Yu Lee, Tanmay Batra, Mohammad Haris Baig, and Daniel Ulbricht · 2019
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Computational optimal transport: With applications to data science
Gabriel Peyré and Marco Cuturi · 2019
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Approximate Bayesian computation with the sliced-Wasserstein distance
Kimia Nadjahi, Valentin De Bortoli, Alain Durmus, Roland Badeau, and Umut Şimşekli · 2020
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Statistical and topological properties of sliced probability divergences
Kimia Nadjahi, Alain Durmus, Lénaïc Chizat, Soheil Kolouri, Shahin Shahrampour, and Umut Simsekli
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Lidar upsampling with sliced wasserstein distance
Artem Savkin, Yida Wang, Sebastian Wirkert, Nassir Navab, and Federico Tombari · 2022
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Two-sample test with kernel projected wasserstein distance
Jie Wang, Rui Gao, and Yao Xie · 2022
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Spherical sliced-wasserstein
Clément Bonet, Paul Berg, Nicolas Courty, François Septier, Lucas Drumetz, and Minh Tan Pham · 2023
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Energy-based sliced Wasserstein distance
Khai Nguyen and Nhat Ho · 2023
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Self-attention amortized distributional projection optimization for sliced wasserstein point-cloud reconstruction
Khai Nguyen, Dang Nguyen, and Nhat Ho · 2023
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Diffeomorphic mesh deformation via efficient optimal transport for cortical surface reconstruction
Thanh Tung Le, Khai Nguyen, shanlin sun, Kun Han, Nhat Ho, and Xiaohui Xie · 2024
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