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We propose Gaussian optimal transport for Image style transfer in an Encoder/Decoder framework.
On lower bounds for thel2-wasserstein metric in a hilbert space
J. A. Cuesta-Albertos, C. Matrán-Bea, and A. Tuero-Diaz · 1996
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Robert J. McCann · 1997
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A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
Jean-David Benamou and Yann Brenier · 2000
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Gaussianization
Scott Saobing Chen and Ramesh A. Gopinath · 2001
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Wasserstein geometry of gaussian measures
Asuka Takatsu · 2011
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Wasserstein barycenter and its application to texture mixing
Julien Rabin, Gabriel Peyré, Julie Delon, and Marc Bernot · 2012
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Marco Cuturi · 2013
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Charlie Frogner, Chiyuan Zhang, Hossein Mobahi, Mauricio Araya, and Tomaso A Poggio · 2015
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Image style transfer using convolutional neural networks
Leon A. Gatys, Alexander S. Ecker, and Matthias Bethge · 2016
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Perceptual losses for real-time style transfer and super-resolution
Justin Johnson, Alexandre Alahi, and Li Fei-Fei · 2016
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Texture networks: Feed-forward synthesis of textures and stylized images
Dmitry Ulyanov, Vadim Lebedev, Andrea Vedaldi, and Victor S. Lempitsky · 2016
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Precomputed real-time texture synthesis with markovian generative adversarial networks
Chuan Li and Michael Wand · 2016
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Dmitry Ulyanov, Andrea Vedaldi, and Victor Lempitsky · 2017
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A learned representation for artistic style
Vincent Dumoulin, Jonathon Shlens, and Manjunath Kudlur · 2017
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Arbitrary style transfer in real-time with adaptive instance normalization
Xun Huang and Serge Belongie · 2017
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Universal style transfer via feature transforms
Yijun Li, Chen Fang, Jimei Yang, Zhaowen Wang, Xin Lu, and Ming-Hsuan Yang · 2017
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Computational optimal transport
Gabriel Peyré and Marco Cuturi · 2017
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Demystifying neural style transfer
Yanghao Li, Naiyan Wang, Jiaying Liu, and Xiaodi Hou · 2017
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Fast patch-based style transfer of arbitrary style, 2016
Tian Qi Chen and Mark Schmidt · 2016
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First-order methods for geodesically convex optimization
Hongyi Zhang and Suvrit Sra · 2016
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Combining markov random fields and convolutional neural networks for image synthesis
Chuan Li and Michael Wand · 2016
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Controlling perceptual factors in neural style transfer
Leon A. Gatys, Alexander S. Ecker, Matthias Bethge, Aaron Hertzmann, and Eli Shechtman · 2017
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Multimodal transfer: A hierarchical deep convolutional neural network for fast artistic style transfer
Xin Wang, Geoffrey Oxholm, Da Zhang, and Yuan-Fang Wang · 2017
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A fixed-point approach to barycenters in wasserstein space
Pedro C. Álvarez Esteban, E. del Barrio, J.A. Cuesta-Albertos, and C. Matrán
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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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Interpolating between Optimal Transport and MMD using Sinkhorn Divergences
J. Feydy, T. Séjourné, F.-X. Vialard, S.-i. Amari, A. Trouvé, and G. Peyré · 2018
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Procrustes metrics on covariance operators and optimal transportation of gaussian processes
Valentina Masarotto, Victor M Panaretos, and Yoav Zemel · 2018
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Style transfer by relaxed optimal transport and self-similarity, 2019
Nicholas Kolkin, Jason Salavon, and Greg Shakhnarovich · 2019
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