Improving Function Space Flow Matching with Kernel Optimal Transport
Generative models for function-valued data, such as time series and solutions of partial differential equations, must learn distributions over infinite-dimensional spaces. Functional Flow Matching (FFM) extends Flow Matching to this setting, learning a velocity field whose flow transports a Gaussian prior to the data d...
Fred Xu, Thomas Markovich, Barbora Barancikova et al.
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