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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; ImageNet; pix2pix; PyTorch; EMD; CycleGAN; TensorFlow; AlexNet; GitHub; f-GAN; StyleGAN; U-Net; CIFAR; MNIST; BigGAN; POT; MMD GAN; DeepONet; torchdiffeq; InfoGAN
Cited in: 380 Documents
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Cited by 1,058 Authors

8 Li, Wuchen
6 Osher, Stanley Joel
5 Karniadakis, George Em
4 Eckstein, Stephan
4 Gasnikov, Aleksandr V.
4 Han, Jiequn
4 Kuhn, Daniel
4 Oberai, Assad A.
4 Rigollet, Philippe
4 Schönlieb, Carola-Bibiane
3 Arridge, Simon R.
3 Auricchio, Gennaro
3 Biau, Gérard
3 Bigot, Jéremie
3 Chae, Minwoo
3 Cui, Xiaojun
3 Gao, Junbin
3 Hu, Ruimeng
3 Lai, Rongjie
3 Long, Jihao
3 Maass, Peter
3 Montúfar, Guido F.
3 Munk, Axel
3 Neumayer, Sebastian
3 Ng, Michael Kwok-Po
3 Niles-Weed, Jonathan
3 Papadakis, Nicolas
3 Patel, Dhruv V.
3 Ray, Deep
3 Shafieezadeh-Abadeh, Soroosh
3 Tanielian, Ugo
3 Veneroni, Marco
3 Yan, Zhenya
3 Yang, Liu
3 Zhang, Ting
3 Zhong, Ming
2 Amari, Shun-ichi
2 Ballester, Coloma
2 Benaim, Sagie
2 Beznosikov, Aleksandr
2 Birrell, Jeremiah
2 Böhm, Axel
2 Bonneel, Nicolas
2 Bortolussi, Luca
2 Boţ, Radu Ioan
2 Bugeau, Aurélie
2 Cadre, Benoît
2 Cairoli, Francesca
2 Cao, Haoyang
2 Castiglioni, Valentina
2 Chen, Yifan
2 Chen, Yongxin
2 Courty, Nicolas
2 Darve, Eric
2 Dasgupta, Agnimitra
2 Daskalakis, Constantinos
2 Delon, Julie
2 Dupuis, Paul G.
2 Dvinskikh, Darina
2 Dvurechensky, Pavel E.
2 E, Weinan
2 Eckstein, Michał
2 Ehrhardt, Matthias Joachim
2 Friesecke, Gero
2 Galanti, Tomer
2 Gao, Yihang
2 Gavranović, Bruno
2 Gehér, György Pál
2 González-Sanz, Alberto
2 Gu, Xianfeng David
2 Gualandi, Stefano
2 Guo, Gaoyue
2 Guo, Xin
2 Hou, Jiagen
2 Imaizumi, Masaaki
2 Katsoulakis, Markos A.
2 Klatt, Marcel
2 Lei, Na
2 Li, Lei
2 Liang, Tengyuan
2 Lin, Alex Tong
2 Loreti, Michele
2 Loubes, Jean-Michel
2 Lu, Fangfang
2 Manole, Tudor
2 Marzouk, Youssef M.
2 Matsuda, Takeru
2 Meng, Cheng
2 Meng, Xuhui
2 Moosmüller, Caroline
2 Mukerji, Tapan
2 Nutz, Marcel
2 Okano, Ryo
2 Oosterlee, Cornelis Willebrordus
2 Pauwels, Edouard Jean Robert
2 Perdikaris, Paris G.
2 Rey-Bellet, Luc
2 Rogozin, Alexander
2 Sangnier, Maxime
2 Sebban, Marc
...and 958 more Authors
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Cited in 135 Serials

17 Journal of Machine Learning Research (JMLR)
14 Journal of Computational Physics
14 Information Sciences
14 Machine Learning
14 SIAM Journal on Mathematics of Data Science
12 Computer Methods in Applied Mechanics and Engineering
9 Computational Geosciences
7 Inverse Problems
7 Neural Networks
7 SIAM Journal on Scientific Computing
7 International Journal of Computer Vision
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7 SIAM Journal on Imaging Sciences
6 Physica D
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6 The Annals of Applied Probability
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5 Mathematical Programming. Series A. Series B
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3 SIAM Journal on Mathematical Analysis
3 Annals of Mathematics and Artificial Intelligence
3 Bernoulli
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3 Journal of Computational and Graphical Statistics
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3 SIAM/ASA Journal on Uncertainty Quantification
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 Journal of Econometrics
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2 Journal of Economic Dynamics & Control
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Neural Computation
2 SIAM Journal on Applied Mathematics
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Cited in 44 Fields

195 Computer science (68-XX)
116 Statistics (62-XX)
81 Numerical analysis (65-XX)
66 Calculus of variations and optimal control; optimization (49-XX)
61 Operations research, mathematical programming (90-XX)
58 Probability theory and stochastic processes (60-XX)
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9 Statistical mechanics, structure of matter (82-XX)
9 Systems theory; control (93-XX)
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6 Functional analysis (46-XX)
6 Mechanics of deformable solids (74-XX)
6 Quantum theory (81-XX)
5 Differential geometry (53-XX)
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3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Ordinary differential equations (34-XX)
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2 General and overarching topics; collections (00-XX)
2 Category theory; homological algebra (18-XX)
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