Why it matters

Flow matching is emerging alternative. Understanding shapes future generative.

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The architecture

Sample path from noise to data.

Regress vector field.

Sample: integrate ODE.

Flow matching structurePath noise -> dataconditional fieldRegress v(x, t)MSE lossSampleintegrate ODERectified flow (FLUX, SD3) is popular flow matching variant
Flow matching.
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How it works end to end

Conditional flow matching: simpler than score matching.

Straight paths (rectified flow) fewer steps.

Used in FLUX, SD3.