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Generative models inspired by dynamical transport of measure -- such as flows and diffusions -- construct a continuous-time map between two probability densities.
A computational fluid mechanics solution to the monge-kantorovich mass transfer problem
Benamou, J.-D. and Brenier, Y · 2000
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Density estimation by dual ascent of the log-likelihood
Tabak, E. G. and Vanden-Eijnden, E · 2010
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Sinkhorn distances: Lightspeed computation of optimal transport
Cuturi, M · 2013
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Auto-Encoding Variational Bayes
Kingma, D. P. and Welling, M · 2013
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A family of nonparametric density estimation algorithms
Tabak, E. G. and Turner, C. V · 2013
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Adam: A method for stochastic optimization
Kingma, D. P. and Ba, J · 2014
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Variational Inference with Normalizing Flows
Rezende, D. and Mohamed, S · 2015
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Deep unsupervised learning using nonequilibrium thermodynamics
Sohl-Dickstein, J., Weiss, E., Maheswaranathan, N., and Ganguli, S · 2015
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Deep Networks with Stochastic Depth
Huang, G., Sun, Y., Liu, Z., Sedra, D., and Weinberger, K · 2016
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Density Estimation Using Real NVP
Dinh, L., Sohl-Dickstein, J., and Bengio, S · 2017
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torchdiffeq, 2018
Chen, R. T. Q · 2018
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Neural spline flows
Durkan, C., Bekasov, A., Murray, I., and Papamakarios, G · 2019
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Denoising diffusion probabilistic models
Ho, J., Jain, A., and Abbeel, P · 2020
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Improved techniques for training score-based generative models
Song, Y. and Ermon, S · 2020
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Score-based generative modeling through stochastic differential equations
Song, Y., Sohl-Dickstein, J., Kingma, D. P., Kumar, A., Ermon, S., and Poole, B · 2020
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Diffusion schrödinger bridge with applications to score-based generative modeling
De Bortoli, V., Thornton, J., Heng, J., and Doucet, A · 2021
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Diffusion models beat gans on image synthesis
Dhariwal, P. and Nichol, A · 2021
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Improved denoising diffusion probabilistic models
Nichol, A. Q. and Dhariwal, P · 2021
Cited alongside, same era.
Maximum likelihood training of score-based diffusion models
Song, Y., Durkan, C., Murray, I., and Ermon, S · 2021
Stochastic interpolants: A unifying framework for flows and diffusions
Albergo, M. S., Boffi, N. M., and Vanden-Eijnden, E · 2023
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Riemannian flow matching on general geometries
Chen, R. T. and Lipman, Y · 2023
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Dao, Q., Phung, H., Nguyen, B., and Tran, A · 2023
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Latent space editing in transformer-based flow matching
Hu, V. T., Zhang, D. W., Tang, M., Mettes, P., Zhao, D., and Snoek, C. G · 2023
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Equivariant flow matching, 2023
Klein, L., Krämer, A., and Noé, F · 2023
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Cited alongside, same era.
Building normalizing flows with stochastic interpolants
Albergo, M. S. and Vanden-Eijnden, E · 2022
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Classifier-free diffusion guidance
Ho, J. and Salimans, T · 2022
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Rectified flow: A marginal preserving approach to optimal transport, 2022
Liu, Q · 2022
Cited alongside, same era.
Image super-resolution via iterative refinement
Saharia, C., Ho, J., Chan, W., Salimans, T., Fleet, D. J., and Norouzi, M · 2022
Cited alongside, same era.
Structure-based drug design with equivariant diffusion models
Schneuing, A., Du, Y., Harris, C., Jamasb, A., Igashov, I., Du, W., Blundell, T., Lió, P., Gomes, C., Welling, M., et al · 2022
Cited alongside, same era.
Conditional simulation using diffusion schrödinger bridges
Shi, Y., Bortoli, V. D., Deligiannidis, G., and Doucet, A · 2022
Cited alongside, same era.
Lee, S., Kim, B., and Ye, J. C · 2023
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Multisample flow matching: Straightening flows with minibatch couplings
Pooladian, A.-A., Ben-Hamu, H., Domingo-Enrich, C., Amos, B., Lipman, Y., and Chen, R · 2023
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Diffusion schrödinger bridge matching, 2023
Shi, Y., Bortoli, V. D., Campbell, A., and Doucet, A · 2023
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Where to diffuse, how to diffuse, and how to get back: Automated learning for multivariate diffusions
Singhal, R., Goldstein, M., and Ranganath, R · 2023
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Aligned diffusion schrödinger bridges
Somnath, V. R., Pariset, M., Hsieh, Y.-P., Martinez, M. R., Krause, A., and Bunne, C · 2023
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Improving and generalizing flow-based generative models with minibatch optimal transport
Tong, A., Malkin, N., Huguet, G., Zhang, Y., Rector-Brooks, J., Fatras, K., Wolf, G., and Bengio, Y · 2023
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Practical and asymptotically exact conditional sampling in diffusion models
Wu, L., Trippe, B. L., Naesseth, C. A., Blei, D. M., and Cunningham, J. P · 2023
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