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author = {Vayer, Titouan and Chapel, Laetita and Flamary, Rémi and Tavenard, Romain and Courty, Nicolas},
publisher = {arXiv},
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doi = {10.48550/ARXIV.1811.02834},
keywords = {Machine Learning (stat.ML),Machine Learning (cs.LG),FOS: Computer and information sciences,FOS: Computer and information sciences},
title = {Fused Gromov-Wasserstein distance for structured objects: theoretical foundations and mathematical properties},
year = {2018},
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author = {Scetbon, Meyer and Cuturi, Marco and Peyré, Gabriel},
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publisher = {PMLR},
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author = {Scetbon, Meyer and Peyré, Gabriel and Cuturi, Marco},
publisher = {arXiv},
url = {https://arxiv.org/abs/2106.01128},
doi = {10.48550/ARXIV.2106.01128},
keywords = {Machine Learning (cs.LG),Machine Learning (stat.ML),FOS: Computer and information sciences,FOS: Computer and information sciences},
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year = {2021},
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author = {Scetbon, Meyer and Cuturi, Marco},
publisher = {arXiv},
url = {https://arxiv.org/abs/2205.12365},
doi = {10.48550/ARXIV.2205.12365},
keywords = {Machine Learning (stat.ML),Machine Learning (cs.LG),FOS: Computer and information sciences,FOS: Computer and information sciences},
title = {Low-rank Optimal Transport: Approximation, Statistics and Debiasing},
year = {2022},
}
@misc{scetbon:23,
author = {Scetbon, Meyer and Klein, Michal and Palla, Giovanni and Cuturi, Marco},
publisher = {arXiv},
url = {https://arxiv.org/abs/2305.19727},
doi = {10.48550/arXiv.2305.19727},
keywords = {Machine Learning (stat.ML),Machine Learning (cs.LG),FOS: Computer and information sciences,FOS: Computer and information sciences},
title={Unbalanced Low-rank Optimal Transport Solvers},
year={2023}
}
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series = {Proceedings of Machine Learning Research},
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year = {2016},
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publisher = {PMLR},
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series = {Proceedings of Machine Learning Research},
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author = {Pan, Xinhai and Li, Hechen and Zhang, Xiuwei},
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author = {Thornton, James and Cuturi, Marco},
eprint = {2206.07630},
eprintclass = {stat.ML},
eprinttype = {arXiv},
title = {Rethinking Initialization of the Sinkhorn Algorithm},
year = {2022},
}
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author = {Lange, Marius and Piran, Zoe and Klein, Michal and Spanjaard, Bastiaan and Klein, Dominik and Junker, Jan Philipp and Theis, Fabian J. and Nitzan, Mor},
publisher = {Cold Spring Harbor Laboratory},
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journal = {bioRxiv},
title = {Mapping lineage-traced cells across time points with moslin},
year = {2023},
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author = {Demetci, Pinar and Santorella, Rebecca and Sandstede, Bj{\"o}rn and Noble, William Stafford and Singh, Ritambhara},
url = {https://pubmed.ncbi.nlm.nih.gov/35050714/},
journal = {Journal of Computational Biology},
number = {1},
pages = {3--18},
title = {SCOT: Single-Cell Multi-Omics Alignment with Optimal Transport},
volume = {29},
year = {2022},
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title={Mapping cells through time and space with moscot},
url={https://www.nature.com/articles/s41586-024-08453-2},
DOI={https://doi.org/10.1038/s41586-024-08453-2},
journal={Nature},
publisher={Nature Publishing Group},
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author = {Huguet, Guillaume and Tong, Alexander and Zapatero, María Ramos and Tape, Christopher J. and Wolf, Guy and Krishnaswamy, Smita},
eprint = {2211.00805},
eprintclass = {cs.LG},
eprinttype = {arXiv},
title = {Geodesic Sinkhorn for Fast and Accurate Optimal Transport on Manifolds},
year = {2023},
}
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AUTHOR = {Vayer, Titouan and Chapel, Laetitia and Flamary, Remi and Tavenard, Romain and Courty, Nicolas},
TITLE = {Fused Gromov-Wasserstein Distance for Structured Objects},
JOURNAL = {Algorithms},
VOLUME = {13},
YEAR = {2020},
NUMBER = {9},
ARTICLE-NUMBER = {212},
URL = {https://www.mdpi.com/1999-4893/13/9/212},
ISSN = {1999-4893},
DOI = {10.3390/a13090212}}
@misc{klein2023generative,
title={Generative Entropic Neural Optimal Transport To Map Within and Across Spaces},
author={Dominik Klein and Théo Uscidda and Fabian Theis and Marco Cuturi},
year={2023},
eprint={2310.09254},
archivePrefix={arXiv},
primaryClass={stat.ML}
}
Datasets
Models
