The Singularity Set of Optimal Transportation Maps

Author:

Luo Zhongxuan,Chen Wei,Lei Na,Guo Yang,Zhao Tong,Liu Jiakun,Gu Xianfeng

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference20 articles.

1. I. Goodfellow, J. Pouget-Abadie, M. Mirza, B. Xu, D. Warde-Farley, S. Ozair, A. Courville, and Y. Bengio, “Generative adversarial nets,” Adv. Neural Inf. Process. Syst. 27, 2672–2680 (2014).

2. D. P. Kingma and M. Welling, “Auto-encoding variational Bayes” (2013). arXiv:1312.6114.

3. Na Lei, Dongsheng An, Yang Guo, Kehua Su, Shixia Liu, Zhongxuan Luo, Shing-Tung Yau, and Xianfeng Gu, “A geometric understanding of deep learning,” Engineering 6 (3), 361–374 (2020).

4. Dongsheng An, Yang Guo, Na Lei, Zhongxuan Luo, Shing-Tung Yau, and Xianfeng Gu, “AE-OT: A new generative model based on extended semi-discrete optimal transport,” International Conference on Learning Representations (2020).

5. I. Goodfellow, Nips 2016 Tutorial: Generative Adversarial Networks (2016). arXiv:1701.00160.

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