90 citations · 408 across the 55 of their papers we have counts for
74 papers
Limit Points of Reflow with Minibatch Optimal Transport
Antonin Chambolle, Johannes Hertrich
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 proba…
A variational method for curve extraction with curvature-dependent energies
Majid Arthaud, Antonin Chambolle, Vincent Duval
We introduce a variational approach for extracting curves between a list of possible endpoints, based on the discretization of an energy and Smirnov's decomposition theorem for vec…
Elementary discrete diffusion/redistancing schemes for the mean curvature flow
Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini
We consider a fully discrete and explicit scheme for the mean curvature flow of boundaries, based on an elementary diffusion step and a precise redistancing operation. We give an e…
On the Relation between Rectified Flows and Optimal Transport
Johannes Hertrich, Antonin Chambolle, Julie Delon
This paper investigates the connections between rectified flows, flow matching, and optimal transport. Flow matching is a recent approach to learning generative models by estimatin…
A characterization of Generalized functions of Bounded Deformation
Antonin Chambolle, Vito Crismale
We show that Dal Maso's GBD space, introduced for tackling crack growth in linearized elasticity, can be defined by simple conditions in a finite number of directions of slicing.
A Cahn--Hilliard--Willmore phase field model for non-oriented interfaces
Elie Bretin, Antonin Chambolle, Simon Masnou
We investigate a new phase field model for representing non-oriented interfaces, approximating their area and simulating their area-minimizing flow. Our contribution is related to…