arXiv Machine Learning
Aug 10

Limit Points of Reflow with Minibatch Optimal Transport

arXiv:2608. 07042v1 Announce Type: cross Abstract: Rectified flows, also called flow matching or stochastic interpolants, are generative models that learn a time-dependent vector field steering a probability curve between two probability distributions, usually referred to as latent and target distributions.

By Antonin Chambolle, Johannes Hertrich
arXiv Machine Learning
Aug 4

Beckmann Transport Models: From Autonomous Flows to One-Step Maps

arXiv:2608. 01692v1 Announce Type: new Abstract: We propose an instantiation of flow matching that relies on a time-independent velocity field (an \emph{autonomous flow}) to exactly map between two distributions, so long as the target is singular, i.

By Lee Cheuk-Kit, Florentin Coeurdoux, Peter Potaptchik, Yilun Du, Michael Samuel Albergo, Eric Vanden-Eijnden