128 citations · 380 across the 29 of their papers we have counts for
36 papers
Learning Discrete Diffusion of Graphs via Free-Energy Gradient Flows
Dario Rancati, Jan Maas, Francesco Locatello
Diffusion-based models on continuous spaces have seen substantial recent progress through the mathematical framework of gradient flows, leveraging the Wasserstein-2 () metri…
-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher's infinitesimal model
Ksenia A. Khudiakova, Jan Maas, Francesco Pedrotti
We prove upper bounds on the -Wasserstein distance from optimal transport between strongly log-concave probability densities and log-Lipschitz perturbations. In the simpl…
Improved Convergence of Score-Based Diffusion Models via Prediction-Correction
Francesco Pedrotti, Jan Maas, Marco Mondelli
Score-based generative models (SGMs) are powerful tools to sample from complex data distributions. Their underlying idea is to (i) run a forward process for time by adding no…
Local Conditions for Global Convergence of Gradient Flows and Proximal Point Sequences in Metric Spaces
Lorenzo Dello Schiavo, Jan Maas, Francesco Pedrotti
This paper deals with local criteria for the convergence to a global minimiser for gradient flow trajectories and their discretisations. To obtain quantitative estimates on the spe…
Characterisation of gradient flows for a given functional
Morris Brooks, Jan Maas
Let be a vector field and be a co-vector field on a smooth manifold . Does there exist a smooth Riemannian metric on such that ? The main r…
Homogenisation of dynamical optimal transport on periodic graphs
Peter Gladbach, Eva Kopfer, Jan Maas +1
This paper deals with the large-scale behaviour of dynamical optimal transport on -periodic graphs with general lower semicontinuous and convex energy densities. Our…