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Wasserstein GAN

swMATH ID: 42583
Software Authors: Arjovsky, Martin; Chintala, Soumith; Bottou, Léon
Description: WassersteinGAN, Wasserstein GAN: We introduce a new algorithm named WGAN, an alternative to traditional GAN training. In this new model, we show that we can improve the stability of learning, get rid of problems like mode collapse, and provide meaningful learning curves useful for debugging and hyperparameter searches. Furthermore, we show that the corresponding optimization problem is sound, and provide extensive theoretical work highlighting the deep connections to other distances between distributions.
Homepage: https://arxiv.org/abs/1701.07875
Source Code:  https://github.com/martinarjovsky/WassersteinGAN
Dependencies: Python
Related Software: Adam; pix2pix; CycleGAN; ImageNet; EMD; PyTorch; TensorFlow; AlexNet; GitHub; f-GAN; BigGAN; U-Net; MNIST; CIFAR; StyleGAN; InfoGAN; Tensor2Tensor; DeepONet; t-SNE; POT
Cited in: 337 Documents
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Cited by 968 Authors

8 Li, Wuchen
6 Osher, Stanley Joel
5 Karniadakis, George Em
4 Eckstein, Stephan
4 Han, Jiequn
4 Kuhn, Daniel
4 Oberai, Assad A.
4 Rigollet, Philippe
3 Arridge, Simon R.
3 Auricchio, Gennaro
3 Bigot, Jéremie
3 Cui, Xiaojun
3 Gao, Junbin
3 Gasnikov, Aleksandr V.
3 Hu, Ruimeng
3 Lai, Rongjie
3 Long, Jihao
3 Maass, Peter
3 Montúfar, Guido F.
3 Neumayer, Sebastian
3 Ng, Michael Kwok-Po
3 Niles-Weed, Jonathan
3 Papadakis, Nicolas
3 Patel, Dhruv V.
3 Ray, Deep
3 Schönlieb, Carola-Bibiane
3 Shafieezadeh-Abadeh, Soroosh
3 Veneroni, Marco
3 Yan, Zhenya
3 Yang, Liu
3 Zhang, Ting
3 Zhong, Ming
2 Amari, Shun-ichi
2 Benaim, Sagie
2 Beznosikov, Aleksandr
2 Biau, Gérard
2 Birrell, Jeremiah
2 Böhm, Axel
2 Bonneel, Nicolas
2 Bortolussi, Luca
2 Boţ, Radu Ioan
2 Cairoli, Francesca
2 Castiglioni, Valentina
2 Chae, Minwoo
2 Chen, Yifan
2 Chen, Yongxin
2 Courty, Nicolas
2 Darve, Eric
2 Dasgupta, Agnimitra
2 Delon, Julie
2 Dupuis, Paul G.
2 Dvinskikh, Darina
2 E, Weinan
2 Eckstein, Michał
2 Friesecke, Gero
2 Galanti, Tomer
2 Gao, Yihang
2 Gavranović, Bruno
2 Gehér, György Pál
2 González-Sanz, Alberto
2 Gualandi, Stefano
2 Guo, Gaoyue
2 Hou, Jiagen
2 Katsoulakis, Markos A.
2 Klatt, Marcel
2 Li, Lei
2 Liang, Tengyuan
2 Lin, Alex Tong
2 Loreti, Michele
2 Lu, Fangfang
2 Manole, Tudor
2 Matsuda, Takeru
2 Meng, Xuhui
2 Mukerji, Tapan
2 Munk, Axel
2 Nutz, Marcel
2 Oosterlee, Cornelis Willebrordus
2 Perdikaris, Paris G.
2 Rey-Bellet, Luc
2 Rogozin, Alexander
2 Sangnier, Maxime
2 Sebban, Marc
2 Song, Suihong
2 Srivastava, Sanvesh
2 Szpruch, Lukasz
2 Talavera, Edgar
2 Tanielian, Ugo
2 Taşkesen, Bahar
2 Tini, Simone
2 Titkos, Tamás
2 Trevisan, Dario
2 Venturello, Lorenzo
2 Virosztek, Dániel
2 Walker, Stephen Grahm
2 Wan, Xiaoliang
2 Wang, Yang
2 Wiese, Magnus
2 Wolf, Lior
2 Wu, Hongguang
2 Xu, Kailai
...and 868 more Authors
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Cited in 126 Serials

16 Journal of Machine Learning Research (JMLR)
14 Information Sciences
14 Machine Learning
14 SIAM Journal on Mathematics of Data Science
13 Journal of Computational Physics
12 Computer Methods in Applied Mechanics and Engineering
9 Computational Geosciences
7 Neural Networks
7 SIAM Journal on Scientific Computing
7 International Journal of Computer Vision
7 SIAM Journal on Imaging Sciences
6 Inverse Problems
6 SIAM Journal on Optimization
6 Electronic Journal of Statistics
5 The Annals of Statistics
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5 Mathematical Programming. Series A. Series B
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4 SIAM Journal on Numerical Analysis
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4 Inverse Problems and Imaging
3 Artificial Intelligence
3 Physica A
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3 Journal of Computational and Graphical Statistics
2 Journal of Fluid Mechanics
2 Physics Reports
2 Annals of the Institute of Statistical Mathematics
2 Applied Mathematics and Optimization
2 Journal of the American Statistical Association
2 Journal of Applied Probability
2 Statistics & Probability Letters
2 Computer Aided Geometric Design
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2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Neural Computation
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2 International Journal of Wavelets, Multiresolution and Information Processing
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2 Research in the Mathematical Sciences
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1 Journal of the Franklin Institute
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1 Journal of Mathematical Physics
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1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 The Annals of Probability
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...and 26 more Serials
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Cited in 41 Fields

180 Computer science (68-XX)
98 Statistics (62-XX)
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52 Operations research, mathematical programming (90-XX)
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21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
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8 Dynamical systems and ergodic theory (37-XX)
8 Systems theory; control (93-XX)
6 Functional analysis (46-XX)
6 Quantum theory (81-XX)
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5 Differential geometry (53-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Mechanics of deformable solids (74-XX)
3 Combinatorics (05-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 General and overarching topics; collections (00-XX)
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