Fetching the paper…
Reading the bibliography…
Solving transport problems, i.e.
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.
Résolution d’un système d’équations de M. Schrödinger
Fortet, R. (1940) · 1940
Earlier work this paper cites.
Diagonal equivalence to matrices with prescribed row and column sums
Sinkhorn, R. (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.
I-divergence geometry of probability distributions and minimization problems
Csiszár, I. (1975) · 1975
Earlier work this paper cites.
Reverse-time diffusion equation models
Anderson, B. D. (1982) · 1982
Earlier work this paper cites.
Once more about the connection between elliptic operators and Itô’s stochastic equations
Krylov, N. (1984) · 1984
Earlier work this paper cites.
Random fields and diffusion processes
Föllmer, H. (1988) · 1985
Earlier work this paper cites.
Mimicking the one-dimensional marginal distributions of processes having an Itô differential
Gyöngy, I. (1986) · 1986
Earlier work this paper cites.
Time reversal of diffusions
Haussmann, U. G. and Pardoux, E. (1986) · 1986
Earlier work this paper cites.
A stochastic control approach to reciprocal diffusion processes
Dai Pra, P. (1991) · 1991
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.
Pricing with a smile
Dupire, B. (1994) · 1994
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
Rüschendorf, L. (1995) · 1995
Earlier work this paper cites.
A computational fluid mechanics solution to the Monge–Kantorovich mass transfer problem
Benamou, J.-D. and Brenier, Y. (2000) · 2000
Earlier work this paper cites.
A technique for exponential change of measure for Markov processes
Palmowski, Z. and Rolski, T. (2002) · 2002
Earlier work this paper cites.
On the optimality of conditional expectation as a Bregman predictor
Banerjee, A., Guo, X., and Wang, H. (2005) · 2005
Earlier work this paper cites.
Estimation of non-normalized statistical models by score matching
Hyvärinen, A. (2005) · 2005
Earlier work this paper cites.
Markov processes, Brownian motion, and Time Symmetry
Chung, K. L. and Walsh, J. B. (2006) · 2006
Earlier work this paper cites.
Learning normalizing flows from entropy-Kantorovich potentials
Finlay, C., Gerolin, A., Oberman, A. M., and Pooladian, A.-A. (2020) · 2006
Earlier work this paper cites.
Optimal transport
Villani, C. (2009) · 2009
Earlier work this paper cites.
A connection between score matching and denoising autoencoders
Vincent, P. (2011) · 2011
Earlier work this paper cites.
Girsanov theory under a finite entropy condition
Léonard, C. (2012) · 2012
Cited alongside, same era.
Representations of multidimensional linear process bridges
Barczy, M. and Kern, P. (2013) · 2013
Cited alongside, same era.
Sinkhorn distances: Lightspeed computation of optimal transport
Cuturi, M. (2013) · 2013
Cited alongside, same era.
Generative adversarial networks
Goodfellow, I. J., Pouget-Abadie, J., Mirza, M., Xu, B., Warde-Farley, D., Ozair, S., Courville, A., and Bengio, Y. (2014) · 2014
Cited alongside, same era.
Reciprocal processes. a measure-theoretical point of view
Léonard, C., Rœlly, S., Zambrini, J.-C., et al. (2014) · 2014
Cited alongside, same era.
Rényi divergence and kullback-leibler divergence
van Erven, T. and Harremoes, P. (2014) · 2014
Deep generative learning via Schrödinger bridge
Wang, G., Jiao, Y., Xu, Q., Wang, Y., and Yang, C. (2021) · 2021
Later among the works it cites.
Proximal optimal transport modeling of population dynamics
Bunne, C., Papaxanthos, L., Krause, A., and Cuturi, M. (2022) · 2022
Later among the works it cites.
Likelihood training of Schrödinger bridge using forward-backward SDEs theory
Chen, T., Liu, G.-H., and Theodorou, E. A. (2022) · 2022
Later among the works it cites.
Rectified flow: A marginal preserving approach to optimal transport
Liu, Q. (2022) · 2022
Later among the works it cites.
SDEdit: Guided image synthesis and editing with stochastic differential equations
Meng, C., He, Y., Song, Y., Song, J., Wu, J., Zhu, J.-Y., and Ermon, S. (2022) · 2022
Later among the works it cites.
Conditional simulation using diffusion Schrödinger bridges
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Deep learning face attributes in the wild
Liu, Z., Luo, P., Wang, X., and Tang, X. (2015) · 2015
Cited alongside, same era.
Entropic and displacement interpolation: a computational approach using the Hilbert metric
Chen, Y., Georgiou, T., and Pavon, M. (2016) · 2016
Cited alongside, same era.
Optimal transport for diffeomorphic registration
Feydy, J., Charlier, B., Vialard, F.-X., and Peyré, G. (2017) · 2017
Cited alongside, same era.
Traversing the Schrödinger bridge strait: Robert Fortet’s marvelous proof redux
Essid, M. and Pavon, M. (2019) · 2019
Cited alongside, same era.
Computational optimal transport
Peyré, G. and Cuturi, M. (2019) · 2019
Cited alongside, same era.
Stargan v2: Diverse image synthesis for multiple domains
Choi, Y., Uh, Y., Yoo, J., and Ha, J.-W. (2020) · 2020
Cited alongside, same era.
Shi, Y., De Bortoli, V., Deligiannidis, G., and Doucet, A. (2022) · 2022
Later among the works it cites.
Applying regularized Schrödinger-bridge-based stochastic process in generative modeling
Song, K.-U. (2022) · 2022
Later among the works it cites.
Riemannian diffusion Schrödinger bridge
Thornton, J., Hutchinson, M., Mathieu, E., De Bortoli, V., Teh, Y. W., and Doucet, A. (2022) · 2022
Later among the works it cites.
Stochastic interpolants: A unifying framework for flows and diffusions
Albergo, M. S., Boffi, N. M., and Vanden-Eijnden, E. (2023) · 2023
Closest in time.
Building normalizing flows with stochastic interpolants
Albergo, M. S. and Vanden-Eijnden, E. (2023) · 2023
Closest in time.
Unpaired downscaling of fluid flows with diffusion bridges
Bischoff, T. and Deck, K. (2023) · 2023
Closest in time.
The Schrödinger bridge between Gaussian measures has a closed form
Bunne, C., Hsieh, Y.-P., Cuturi, M., and Krause, A. (2023) · 2023
Closest in time.
Riemannian flow matching on general geometries
Chen, R. T. and Lipman, Y. (2023) · 2023
Closest in time.
On the importance of noise scheduling for diffusion models
Chen, T. (2023) · 2023
Closest in time.
Deep momentum multi-marginal Schrödinger bridge
Chen, T., Liu, G.-H., Tao, M., and Theodorou, E. A. (2023) · 2023
Closest in time.
Inversion by direct iteration: An alternative to denoising diffusion for image restoration
Delbracio, M. and Milanfar, P. (2023) · 2023
Closest in time.
Iterative α \alpha -(de)blending: a minimalist deterministic diffusion model
Heitz, E., Belcour, L., and Chambon, T. (2023) · 2023
Closest in time.
simple diffusion: End-to-end diffusion for high resolution images
Hoogeboom, E., Heek, J., and Salimans, T. (2023) · 2023
Closest in time.
Flow matching for generative modeling
Lipman, Y., Chen, R. T., Ben-Hamu, H., Nickel, M., and Le, M. (2023) · 2023
Closest in time.
Diffusion bridge mixture transports, Schrödinger bridge problems and generative modeling
Peluchetti, S. (2023) · 2023
Closest in time.
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) · 2023
Closest in time.
Aligned diffusion Schrödinger bridges
Somnath, V. R., Pariset, M., Hsieh, Y.-P., Martinez, M. R., Krause, A., and Bunne, C. (2023) · 2023
Closest in time.
Sampling from a Schrödinger bridge
Stromme, A. (2023) · 2023
Closest in time.
Transport with support: Data-conditional diffusion bridges
Tamir, E., Trapp, M., and Solin, A. (2023) · 2023
Closest in time.
Conditional flow matching: Simulation-free dynamic optimal transport
Tong, A., Malkin, N., Huguet, G., Zhang, Y., Rector-Brooks, J., Fatras, K., Wolf, G., and Bengio, Y. (2023) · 2023
Closest in time.