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A standard Variational Autoencoder, with a Euclidean latent space, is structurally incapable of capturing topological properties of certain datasets.
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Variational inference with normalizing flows
Rezende, D. and Mohamed, S · 2015
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Markov Chain Monte Carlo and Variational Inference: Bridging the gap
Salimans, T., Kingma, D., and Welling, M · 2015
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Importance weighted autoencoders
Burda, Y., Grosse, R., and Salakhutdinov, R · 2016
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Deep unsupervised clustering with Gaussian mixture Variational Autoencoders
Dilokthanakul, N., Mediano, P. A. M., Garnelo, M., Lee, M. C. H., Salimbeni, H., Arulkumaran, K., and Shanahan, M · 2016
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Understanding disentangling in β \beta -VAE
Burgess, C. P., Higgins, I., Pal, A., Matthey, L., Watters, N., Desjardins, G., and Lerchner, A · 2018
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Isolating sources of disentanglement in Variational Autoencoders
Chen, T. Q., Li, X., Grosse, R. B., and Duvenaud, D. K · 2018
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Hyperspherical variational auto-encoders
Davidson, T. R., Falorsi, L., De Cao, N., Kipf, T., and Tomczak, J. M · 2018
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Topological constraints on homeomorphic auto-encoding
de Haan, P. and Falorsi, L · 2018
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Explorations in homeomorphic variational auto-encoding
Falorsi, L., de Haan, P., Davidson, T. R., De Cao, N., Weiler, M., Forré, P., and Cohen, T. S · 2018
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Gemici, M. C., Rezende, D., and Mohamed, S · 2016
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Improved Variational Inference with Inverse Autoregressive Flow
Kingma, D. P., Salimans, T., Jozefowicz, R., Chen, X., Sutskever, I., and Welling, M · 2016
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β \beta -vae: Learning basic visual concepts with a constrained variational framework
Higgins, I., Matthey, L., Pal, A., Burgess, C., Glorot, X., Botvinick, M., Mohamed, S., and Lerchner, A · 2017
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Riemannian Stein variational gradient descent for Bayesian inference
Liu, C. and Zhu, J · 2017
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Tomczak, J. M. and Welling, M · 2017
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Implicit Reparameterization Gradients
Figurnov, M., Mohamed, S., and Mnih, A · 2018
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Towards a definition of disentangled representations
Higgins, I., Amos, D., Pfau, D., Racaniere, S., Matthey, L., Rezende, D., and Lerchner, A · 2018
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Kim, H. and Mnih, A · 2018
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Variational inference of distentangled latent concepts from unlabeled observations
Kumar, A., Sattigeri, P., and Balakrishnan, A · 2018
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Ergo learning
Portegies, J. W · 2018
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