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The Geometric Nature and a Free Proxy for Flow-Matching Uncertainty

2026 · arXiv.org · Vol abs/2607.27933 · 0 citations · 31 references
Computer Science

TL;DR

This work provides a geometric interpretation of FM uncertainty in the velocity field, showing that uncertainty manifests as deviation from an ideal affine-isotropic contraction field, and introduces denoising acceleration ( accel), a highly-generalizable and cost-free uncertainty proxy that measures the bending of the denoising trajectory from a single forward pass.

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