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In optimal transport (OT), a Monge map is known as a mapping that transports a source distribution to a target distribution in the most cost-efficient way.
Computational Optimal Transport
Gabriel Peyré and Marco Cuturi · 1935
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On the transfer of masses (in russian)
L Kantorovich · 1942
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Décomposition polaire et réarrangement monotone des champs de vecteurs
Yann Brenier · 1987
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Numerical resolution of an “unbalanced” mass transport problem
Jean-David Benamou · 2003
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Sinkhorn Distances: Lightspeed Computation of Optimal Transport
Marco Cuturi · 2013
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Adam: A Method for Stochastic Optimization
Diederik P Kingma and Jimmy Ba · 2014
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Deep learning face attributes in the wild, 2015
Ziwei Liu, Ping Luo, Xiaogang Wang, and Xiaoou Tang · 2015
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Optimal Transport for Applied Mathematicians
Filippo Santambrogio · 2015
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Input Convex Neural Networks
Brandon Amos, Lei Xu, and J Zico Kolter · 2017
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Emnist: an extension of mnist to handwritten letters, 2017
Gregory Cohen, Saeed Afshar, Jonathan Tapson, and André van Schaik · 2017
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Unpaired image-to-image translation using cycle-consistent adversarial networks
Jun-Yan Zhu, Taesung Park, Phillip Isola, and Alexei A Efros · 2017
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JAX: composable transformations of Python+NumPy programs, 2018
James Bradbury, Roy Frostig, Peter Hawkins, Matthew James Johnson, Chris Leary, Dougal Maclaurin, George Necula, Adam Paszke, Jake VanderPlas, Skye Wanderman-Milne, and Qiao Zhang · 2018
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Neural ordinary differential equations
Ricky TQ Chen, Yulia Rubanova, Jesse Bettencourt, and David K Duvenaud · 2018
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Stargan: Unified generative adversarial networks for multi-domain image-to-image translation, 2018
Yunjey Choi, Minje Choi, Munyoung Kim, Jung-Woo Ha, Sunghun Kim, and Jaegul Choo · 2018
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Multiplexed protein maps link subcellular organization to cellular state
Gabriele Gut, Markus Herrmann, and Lucas Pelkmans · 2018
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Gans trained by a two time-scale update rule converge to a local nash equilibrium, 2018
Martin Heusel, Hubert Ramsauer, Thomas Unterthiner, Bernhard Nessler, and Sepp Hochreiter · 2018
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Optimal entropy-transport problems and a new hellinger–kantorovich distance between positive measures
Matthias Liero, Alexander Mielke, and Giuseppe Savaré · 2018
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Comprehensive single cell mrna profiling reveals a detailed roadmap for pancreatic endocrinogenesis
Aimée Bastidas-Ponce, Sophie Tritschler, Leander Dony, Katharina Scheibner, Marta Tarquis-Medina, Ciro Salinno, Silvia Schirge, Ingo Burtscher, Anika Böttcher, Fabian J Theis, et al · 2019
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Generalizing rna velocity to transient cell states through dynamical modeling
Volker Bergen, Marius Lange, Stefan Peidli, F. Alexander Wolf, and Fabian J. Theis · 2019
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Interpolating between Optimal Transport and MMD using Sinkhorn Divergences
Jean Feydy, Thibault Séjourné, François-Xavier Vialard, Shun-Ichi Amari, Alain Trouvé, and Gabriel Peyré · 2019
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Optimal-Transport Analysis of Single-Cell Gene Expression Identifies Developmental Trajectories in Reprogramming
Geoffrey Schiebinger, Jian Shu, Marcin Tabaka, Brian Cleary, Vidya Subramanian, Aryeh Solomon, Joshua Gould, Siyan Liu, Stacie Lin, Peter Berube, et al · 2019
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Scalable unbalanced optimal transport using generative adversarial networks, 2019
Karren D. Yang and Caroline Uhler · 2019
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The DeepMind JAX Ecosystem, 2020
Igor Babuschkin, Kate Baumli, Alison Bell, Surya Bhupatiraju, Jake Bruce, Peter Buchlovsky, David Budden, Trevor Cai, Aidan Clark, Ivo Danihelka, Claudio Fantacci, Jonathan Godwin, Chris Jones, Ross Hemsley, Tom Hennigan, Matteo Hessel, Shaobo Hou, Steven Kapturowski, Thomas Keck, Iurii Kemaev, Michael King, Markus Kunesch, Lena Martens, Hamza Merzic, Vladimir Mikulik, Tamara Norman, John Quan, George Papamakarios, Roman Ring, Francisco Ruiz, Alvaro Sanchez, Rosalia Schneider, Eren Sezener, Stephen Spencer, Srivatsan Srinivasan, Luyu Wang, Wojciech Stokowiec, and Fabio Viola · 2020
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Wasserstein-2 generative networks
Alexander Korotin, Vage Egiazarian, Arip Asadulaev, Alexander Safin, and Evgeny Burnaev · 2020
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Parallel unbalanced optimal transport regularization for large scale imaging problems, 2020
John Lee, Nicholas P. Bertrand, and Christopher J. Rozell · 2020
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Optimal transport mapping via input convex neural networks
Ashok Makkuva, Amirhossein Taghvaei, Sewoong Oh, and Jason Lee · 2020
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Breaking the cycle – colleagues are all you need, 2020
Ori Nizan and Ayellet Tal · 2020
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Alexander Korotin, Daniil Selikhanovych, and Evgeny Burnaev · 2022
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CellRank for directed single-cell fate mapping
Marius Lange, Volker Bergen, Michal Klein, Manu Setty, Bernhard Reuter, Mostafa Bakhti, Heiko Lickert, Meshal Ansari, Janine Schniering, Herbert B Schiller, Dana Pe’er, and Fabian J Theis · 2022
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Xingchao Liu, Chengyue Gong, and Qiang Liu · 2022
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Neural unbalanced optimal transport via cycle-consistent semi-couplings
Frederike Lübeck, Charlotte Bunne, Gabriele Gut, Jacobo Sarabia del Castillo, Lucas Pelkmans, and David Alvarez-Melis · 2022
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Sdedit: Guided image synthesis and editing with stochastic differential equations, 2022
Chenlin Meng, Yutong He, Yang Song, Jiaming Song, Jiajun Wu, Jun-Yan Zhu, and Stefano Ermon · 2022
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Taesung Park, Alexei A. Efros, Richard Zhang, and Jun-Yan Zhu · 2020
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Score-based generative modeling through stochastic differential equations
Yang Song, Jascha Sohl-Dickstein, Diederik P Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole · 2020
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Massively multiplex chemical transcriptomics at single-cell resolution
Sanjay R Srivatsan, José L McFaline-Figueroa, Vijay Ramani, Lauren Saunders, Junyue Cao, Jonathan Packer, Hannah A Pliner, Dana L Jackson, Riza M Daza, Lena Christiansen, et al · 2020
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TrajectoryNet: A Dynamic Optimal Transport Network for Modeling Cellular Dynamics
Alexander Tong, Jessie Huang, Guy Wolf, David Van Dijk, and Smita Krishnaswamy · 2020
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Learning Single-Cell Perturbation Responses using Neural Optimal Transport
Charlotte Bunne, Stefan G Stark, Gabriele Gut, Jacobo Sarabia del Castillo, Kjong-Van Lehmann, Lucas Pelkmans, Andreas Krause, and Gunnar Ratsch · 2021
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