Fetching the paper…
Reading the bibliography…
Progressively applying Gaussian noise transforms complex data distributions to approximately Gaussian.
Revisiting Fortet’s proof of existence of a solution to the Schrödinger system
Léonard, C. (2019) · 1904
Earlier work this paper cites.
Bernton, E., Heng, J., Doucet, A., and Jacob, P. E. (2019) · 1912
Earlier work this paper cites.
Sur la théorie relativiste de l’électron et l’interprétation de la mécanique quantique
Schrödinger, E. (1932) · 1932
Earlier work this paper cites.
Telefoonverkeersrekening
Kruithof, J. (1937) · 1937
Earlier work this paper cites.
A theorem on Banach spaces
Kober, H. (1939) · 1939
Earlier work this paper cites.
On a least squares adjustment of a sampled frequency table when the expected marginal totals are known
Deming, W. E. and Stephan, F. F. (1940) · 1940
Earlier work this paper cites.
Résolution d’un système d’équations de M. Schrödinger
Fortet, R. (1940) · 1940
Earlier work this paper cites.
An automorphism of product measures
Beurling, A. (1960) · 1960
Earlier work this paper cites.
Concerning nonnegative matrices and doubly stochastic matrices
Sinkhorn, R. and Knopp, P. (1967) · 1967
Earlier work this paper cites.
Probability densities with given marginals
Kullback, S. (1968) · 1968
Earlier work this paper cites.
Information Theory and Statistics
Kullback, S. (1997) · 1968
Earlier work this paper cites.
Statistics of Random Processes. I
Liptser, R. S. and Shiryaev, A. N. (2001) · 1974
Earlier work this paper cites.
I-divergence geometry of probability distributions and minimization problems
Csiszár, I. (1975) · 1975
Earlier work this paper cites.
Elements of Set Theory
Enderton, H. B. (1977) · 1977
Earlier work this paper cites.
On diffusion processes and their semigroups in Hilbert spaces with an application to interacting stochastic systems
Leha, G. and Ritter, G. (1984) · 1984
Earlier work this paper cites.
An entropy approach to the time reversal of diffusion processes
Föllmer, H. (1985) · 1985
Earlier work this paper cites.
Random fields and diffusion processes
Föllmer, H. (1988) · 1985
Earlier work this paper cites.
Markov Processes
Ethier, S. N. and Kurtz, T. G. (1986) · 1986
Earlier work this paper cites.
Time reversal of diffusions
Haussmann, U. G. and Pardoux, E. (1986) · 1986
Earlier work this paper cites.
Probabilities and Potential. C
Dellacherie, C. and Meyer, P.-A. (1988) · 1988
Earlier work this paper cites.
On the scaling of multidimensional matrices
Franklin, J. and Lorenz, J. (1989) · 1989
Earlier work this paper cites.
A stochastic estimator of the trace of the influence matrix for laplacian smoothing splines
Hutchinson, M. F. (1989) · 1989
Earlier work this paper cites.
Stochastic Differential Equations and Diffusion Processes
Ikeda, N. and Watanabe, S. (1989) · 1989
Earlier work this paper cites.
The eigenvalues of mega-dimensional matrices
Skilling, J. (1989) · 1989
Earlier work this paper cites.
Stability of Markovian processes. III. Foster-Lyapunov criteria for continuous-time processes
Meyn, S. P. and Tweedie, R. L. (1993) · 1993
Earlier work this paper cites.
Note on the Schrödinger equation and i-projections
Rüschendorf, L. and Thomsen, W. (1993) · 1993
Earlier work this paper cites.
Diffusions, Markov processes, and martingales. Vol. 2
Rogers, L. C. G. and Williams, D. (2000) · 1994
Earlier work this paper cites.
Convergence of the iterative proportional fitting procedure
Ruschendorf, L. et al. (1995) · 1995
Earlier work this paper cites.
A multivariate Faà di Bruno formula with applications
Constantine, G. M. and Savits, T. H. (1996) · 1996
Earlier work this paper cites.
Continuous Martingales and Brownian Motion
Revuz, D. and Yor, M. (1999) · 1999
Cited alongside, same era.
Generative modeling with denoising auto-encoders and Langevin sampling
Block, A., Mroueh, Y., and Rakhlin, A. (2020) · 2002
Cited alongside, same era.
Monge’s problem with a quadratic cost by the zero-noise limit of h h -path processes
Mikami, T. (2004) · 2004
Cited alongside, same era.
Estimation of non-normalized statistical models by score matching
Hyvärinen, A. and Dayan, P. (2005) · 2005
Cited alongside, same era.
Learning normalizing flows from entropy-Kantorovich potentials
Finlay, C., Gerolin, A., Oberman, A. M., and Pooladian, A.-A. (2020) · 2006
Cited alongside, same era.
Markov Chains
Douc, R., Moulines, E., Priouret, P., and Soulier, P. (2019) · 2019
Later among the works it cites.
Computational optimal transport
Peyré, G. and Cuturi, M. (2019) · 2019
Later among the works it cites.
Data assimilation: the Schrödinger perspective
Reich, S. (2019) · 2019
Later among the works it cites.
Generative modeling by estimating gradients of the data distribution
Song, Y. and Ermon, S. (2019) · 2019
Later among the works it cites.
Theoretical guarantees for sampling and inference in generative models with latent diffusions
Tzen, B. and Raginsky, M. (2019) · 2019
Later among the works it cites.
Learning gradient fields for shape generation
Cai, R., Yang, G., Averbuch-Elor, H., Hao, Z., Belongie, S., Snavely, N., and Hariharan, B. (2020) · 2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Ambrosio, L., Gigli, N., and Savaré, G. (2008) · 2008
Cited alongside, same era.
The matrix cookbook
Petersen, K. B., Pedersen, M. S., et al. (2008) · 2008
Cited alongside, same era.
MNIST handwritten digit database
LeCun, Y. and Cortes, C. (2010) · 2010
Cited alongside, same era.
Denoising diffusion implicit models
Song, J., Meng, C., and Ermon, S. (2020) · 2010
Cited alongside, same era.
Stochastic derivatives and generalized h-transforms of markov processes
Léonard, C. (2011) · 2011
Cited alongside, same era.
Diffusion models for handwriting generation
Luhman, T. and Luhman, E. (2020) · 2011
Cited alongside, same era.
Gromov–Wasserstein distances and the metric approach to object matching
Mémoli, F. (2011) · 2011
Cited alongside, same era.
An optimal transport approach for the Schrödinger bridge problem and convergence of Sinkhorn algorithm
Di Marino, S. and Gerolin, A. (2020) · 2020
Later among the works it cites.
Denoising diffusion probabilistic models
Ho, J., Jain, A., and Abbeel, P. (2020) · 2020
Later among the works it cites.
A gradient descent perspective on Sinkhorn
Léger, F. (2020) · 2020
Later among the works it cites.
Permutation invariant graph generation via score-based generative modeling
Niu, C., Song, Y., Song, J., Zhao, S., Grover, A., and Ermon, S. (2020) · 2020
Later among the works it cites.
Improved techniques for training score-based generative models
Song, Y. and Ermon, S. (2020) · 2020
Later among the works it cites.
Time reversal of diffusion processes under a finite entropy condition
Cattiaux, P., Conforti, G., Gentil, I., and Léonard, C. (2021) · 2021
Closest in time.
Quantitative uniform stability of the iterative proportional fitting procedure
Deligiannidis, G., De Bortoli, V., and Doucet, A. (2021) · 2021
Closest in time.
Diffusion models beat GAN on image synthesis
Dhariwal, P. and Nichol, A. (2021) · 2021
Closest in time.
On maximum likelihood training of score-based generative models
Durkan, C. and Song, Y. (2021) · 2021
Closest in time.
Argmax flows and multinomial diffusion: Towards non-autoregressive language models
Hoogeboom, E., Nielsen, D., Jaini, P., Forré, P., and Welling, M. (2021) · 2021
Closest in time.
Diffwave: A versatile diffusion model for audio synthesis
Kong, Z., Ping, W., Huang, J., Zhao, K., and Catanzaro, B. (2021) · 2021
Closest in time.
Bayesian imaging using plug & play priors: when Langevin meets Tweedie
Laumont, R., De Bortoli, V., Almansa, A., Delon, J., Durmus, A., and Pereyra, M. (2021) · 2021
Closest in time.
Knowledge distillation in iterative generative models for improved sampling speed
Luhman, E. and Luhman, T. (2021) · 2021
Closest in time.
Improved denoising diffusion probabilistic models
Nichol, A. and Dhariwal, P. (2021) · 2021
Closest in time.
The data-driven Schrödinger bridge
Pavon, M., Trigila, G., and Tabak, E. G. (2021) · 2021
Closest in time.
Grad-tts: A diffusion probabilistic model for text-to-speech
Popov, V., Vovk, I., Gogoryan, V., Sadekova, T., and Kudinov, M. (2021) · 2021
Closest in time.
Image super-resolution via iterative refinement
Saharia, C., Ho, J., Chan, W., Salimans, T., Fleet, D. J., and Norouzi, M. (2021) · 2021
Closest in time.
Noise estimation for generative diffusion models
San-Roman, R., Nachmani, E., and Wolf, L. (2021) · 2021
Closest in time.
Score-based generative modeling through stochastic differential equations
Song, Y., Sohl-Dickstein, J., Kingma, D. P., Kumar, A., Ermon, S., and Poole, B. (2021) · 2021
Closest in time.
Solving Schrödinger bridges via maximum likelihood
Vargas, F., Thodoroff, P., Lawrence, N. D., and Lamacraft, A. (2021) · 2021
Closest in time.
Deep generative learning via Schrödinger bridge
Wang, G., Jiao, Y., Xu, Q., Wang, Y., and Yang, C. (2021) · 2021
Closest in time.
Learning to efficiently sample from diffusion probabilistic models
Watson, D., Ho, J., Norouzi, M., and Chan, W. (2021) · 2021
Closest in time.