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The underlying geometrical structure of the latent space in deep generative models is in most cases not Euclidean, which may lead to biases when comparing interpolation capabilities of two models.
Riemannian geometry
Sylvestre Gallot, Dominique Hulin, and Jacques Lafontaine · 1993
Earlier work this paper cites.
Generative adversarial nets
Ian Goodfellow, Jean Pouget-Abadie, Mehdi Mirza, Bing Xu, David Warde-Farley, Sherjil Ozair, Aaron Courville, and Yoshua Bengio · 2014
Earlier work this paper cites.
Auto-encoding variational bayes
Diederik P. Kingma and Max Welling · 2014
Earlier work this paper cites.
Latent space oddity: on the curvature of deep generative models
Georgios Arvanitidis, Lars Kai Hansen, and Søren Hauberg · 2018
Earlier work this paper cites.
Feature-based metrics for exploring the latent space of generative models
Samuli Laine · 2018
Earlier work this paper cites.
Geodesic clustering in deep generative models
Tao Yang, Georgios Arvanitidis, Dongmei Fu, Xiaogang Li, and Søren Hauberg · 2018
Cited alongside, same era.
Fast and robust shortest paths on manifolds learned from data
Georgios Arvanitidis, Søren Hauberg, Philipp Hennig, and Michael Schober · 2019
Cited alongside, same era.
Inverting deep generative models, one layer at a time
Q Lei, A Jalal, S Dhillon, and AG Dimakis · 2019
Cited alongside, same era.
Tariq Daouda, Reda Chhaibi, Prudencio Tossou, and Alexandra-Chloé Villani · 2020
Cited alongside, same era.
Analyzing and improving the image quality of stylegan
Tero Karras, Samuli Laine, Miika Aittala, Janne Hellsten, Jaakko Lehtinen, and Timo Aila · 2020
Cited alongside, same era.
Challenging euclidean topological autoencoders
Michael Moor, Max Horn, Karsten Borgwardt, and Bastian Rieck · 2020
Later among the works it cites.
Interpreting the latent space of gans for semantic face editing
Yujun Shen, Jinjin Gu, Xiaoou Tang, and Bolei Zhou · 2020
Later among the works it cites.
Unsupervised discovery of interpretable directions in the gan latent space
Andrey Voynov and Artem Babenko · 2020
Later among the works it cites.
A geometric analysis of deep generative image models and its applications
Binxu Wang and Carlos R Ponce · 2021
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