FIRM embeds the measurement operator in a flow's velocity field, cutting NFEs up to 50x

prof_kamilov · x · 2026-10-07

Ulugbek Kamilov's group (WashU) introduces FIRM (Flow-based Imaging via Regularized Minimization), a new approach to imaging inverse problems that embeds the forward measurement operator directly into the conditional velocity field. The key insight: the optimal conditional velocity is determined by a posterior mean, which they characterize as the unique minimizer of a variational objective with an explicit data-consistency term. The resulting operator-aware velocity field is trained end-to-end and requires no separate guidance at sampling time.

Related event: FIRM Cuts Network Evaluations 50x for Inverse Imaging(3 posts)→

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