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@@ -39,6 +39,8 @@ POT provides the following generic OT solvers (links to examples): * [Partial Wasserstein and Gromov-Wasserstein](https://pythonot.github.io/auto_examples/unbalanced-partial/plot_partial_wass_and_gromov.html) (exact [29] and entropic [3] formulations). * [Sliced Wasserstein](https://pythonot.github.io/auto_examples/sliced-wasserstein/plot_variance.html) [31, 32] and Max-sliced Wasserstein [35] that can be used for gradient flows [36]. +* [Wasserstein distance on the circle](https://pythonot.github.io/auto_examples/plot_compute_wasserstein_circle.html) [44, 45] +* [Spherical Sliced Wasserstein](https://pythonot.github.io/auto_examples/sliced-wasserstein/plot_variance_ssw.html) [46] * [Graph Dictionary Learning solvers](https://pythonot.github.io/auto_examples/gromov/plot_gromov_wasserstein_dictionary_learning.html) [38]. * [Several backends](https://pythonot.github.io/quickstart.html#solving-ot-with-multiple-backends) for easy use of POT with [Pytorch](https://pytorch.org/)/[jax](https://github.com/google/jax)/[Numpy](https://numpy.org/)/[Cupy](https://cupy.dev/)/[Tensorflow](https://www.tensorflow.org/) arrays. @@ -292,4 +294,10 @@ Dictionary Learning](https://arxiv.org/pdf/2102.06555.pdf), International Confer [42] Delon, J., Gozlan, N., and Saint-Dizier, A. [Generalized Wasserstein barycenters between probability measures living on different subspaces](https://arxiv.org/pdf/2105.09755). arXiv preprint arXiv:2105.09755, 2021. -[43] Álvarez-Esteban, Pedro C., et al. [A fixed-point approach to barycenters in Wasserstein space.](https://arxiv.org/pdf/1511.05355.pdf) Journal of Mathematical Analysis and Applications 441.2 (2016): 744-762.
\ No newline at end of file +[43] Álvarez-Esteban, Pedro C., et al. [A fixed-point approach to barycenters in Wasserstein space.](https://arxiv.org/pdf/1511.05355.pdf) Journal of Mathematical Analysis and Applications 441.2 (2016): 744-762. + +[44] Delon, Julie, Julien Salomon, and Andrei Sobolevski. [Fast transport optimization for Monge costs on the circle.](https://arxiv.org/abs/0902.3527) SIAM Journal on Applied Mathematics 70.7 (2010): 2239-2258. + +[45] Hundrieser, Shayan, Marcel Klatt, and Axel Munk. [The statistics of circular optimal transport.](https://arxiv.org/abs/2103.15426) Directional Statistics for Innovative Applications: A Bicentennial Tribute to Florence Nightingale. Singapore: Springer Nature Singapore, 2022. 57-82. + +[46] Bonet, C., Berg, P., Courty, N., Septier, F., Drumetz, L., & Pham, M. T. (2023). [Spherical Sliced-Wasserstein](https://openreview.net/forum?id=jXQ0ipgMdU). International Conference on Learning Representations.
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