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velocity flow network
A velocity flow network is a neural network architecture designed to model the continuous, time-dependent velocity vector field that drives data samples along a trajectory from a base noise distribution to a target data distribution. Operating within flow-based generative frameworks such as flow matching and continuous normalizing flows, the network defines the ordinary differential equations governing sample evolution by predicting the instantaneous direction and rate of change of states across continuous time steps. By learning these vector fields, velocity flow networks facilitate the optimization of generative paths toward straighter trajectories, enabling stable probability path interpolation, continuous sample transport, and rapid generation with reduced sampling steps.
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