Metric Flow Matching for Smooth Interpolations on the Data Manifold

Metric Flow Matching for Smooth Interpolations on the Data Manifold

23 May 2024

Kacper Kapusniak

Peter Potaptchik

Michael M. Bronstein

Francesco Di Giovanni

Papers citing "Metric Flow Matching for Smooth Interpolations on the Data Manifold"

12 / 12 papers shown

Title
What's Inside Your Diffusion Model? A Score-Based Riemannian Metric to Explore the Data Manifold Simone Azeglio Arianna Di Bernardo DiffM 14 0 0 16 May 2025
Learning Natural Language Constraints for Safe Reinforcement Learning of Language Agents Jaymari Chua Chen Wang Lina Yao ALM 47 1 0 04 Apr 2025
Learning Straight Flows by Learning Curved Interpolants Shiv Shankar Tomas Geffner 72 0 0 26 Mar 2025
Tree-Wasserstein Distance for High Dimensional Data with a Latent Feature Hierarchy Y. Lin Ronald R. Coifman Gal Mishne Ronen Talmon 40 2 0 28 Oct 2024
Generalized Flow Matching for Transition Dynamics Modeling Haibo Wang Yuxuan Qiu Yanze Wang Rob Brekelmans Yuanqi Du 29 1 0 19 Oct 2024
Geometry-Aware Generative Autoencoders for Warped Riemannian Metric Learning and Generative Modeling on Data Manifolds Xingzhi Sun Danqi Liao Kincaid MacDonald Yanlei Zhang Chen Liu Guillaume Huguet Guy Wolf Ian M. Adelstein Tim G. J. Rudner Smita Krishnaswamy 46 3 0 16 Oct 2024
DFM: Interpolant-free Dual Flow Matching Denis A. Gudovskiy Tomoyuki Okuno Yohei Nakata AI4CE 44 0 0 11 Oct 2024
Score-based pullback Riemannian geometry Willem Diepeveen Georgios Batzolis Zakhar Shumaylov Carola-Bibiane Schönlieb DiffM 16 1 0 02 Oct 2024
A Geometric Perspective on Variational Autoencoders Clément Chadebec S. Allassonnière DRL 29 21 0 15 Sep 2022
Matching Normalizing Flows and Probability Paths on Manifolds Heli Ben-Hamu Samuel N. Cohen Joey Bose Brandon Amos Aditya Grover Maximilian Nickel Ricky T. Q. Chen Y. Lipman 55 39 0 11 Jul 2022
Riemannian Score-Based Generative Modelling Valentin De Bortoli Emile Mathieu M. Hutchinson James Thornton Yee Whye Teh Arnaud Doucet DiffM 222 164 0 06 Feb 2022
Towards a mathematical theory of trajectory inference Hugo Lavenant Stephen X. Zhang Young-Heon Kim Geoffrey Schiebinger 21 40 0 18 Feb 2021