Conceptdynamic measure transport
Dynamic Measure Transport
A mathematical framework for studying how one probability measure can be dynamically transported to another through stochastic processes. It serves as the theoretical foundation for generative methods such as flow matching and diffusion models.
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Oct 2
Dynamic measure transport constructs a stochastic process indexed by the unit interval such that its marginal distributions at time 0 and time 1 equal two given measures P0 and P1 respectively, then computes the conditional velocity field and integrates an ODE to obtain a flow map that transports P0 samples to P1.
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