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Flow Matching That Follows the Mean

·2026.05.15 06:30

Key point

Proposed a new Flow Matching method that steers the generative flow using a reference set.

Details

Leveraging the fact that in deterministic interpolants the velocity field is determined by the conditional endpoint mean, the paper proposes a way to steer the generative flow simply by changing the reference set.

Reference-Mean Guidance (RMG) is a training-free approach that computes a closed-form endpoint-mean correction from a reference bank and applies it to the frozen FLUX.2-klein (4B) model. This controls color, identity, style, and structure while leaving the prompt, seed, and weights unchanged.

Semi-Parametric Guidance (SPG) absorbs the same idea into the model itself by adding an explicit mean anchor and a learned residual refiner. Experiments showed that on AFHQv2, it matches the quality of an unconditional DiT-B/4, while still allowing the reference set to be swapped at inference time.

The key point is a new control interface that adapts a generative model using only example data, without any parameter updates.

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