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cs.LG2026
Cartan flow matching
Francesco Ruscelli, Ferdinando Zanchetta, Rita Fioresi
We introduce Cartan flow matching, a general framework for training flow matching models on Riemannian symmetric spaces, i.e. Riemannian manifolds with the property that at any poi…
cs.LG2026
Flow matching on homogeneous spaces
Francesco Ruscelli
We propose a general framework to extend Flow Matching to homogeneous spaces, i.e. quotients of Lie groups. Our approach reformulates the problem as a flow matching task on the und…