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Error Bounds for a Diffusion Model-Based Drift Estimator

Parameter estimation in stochastic differential equations is a classical statistical problem of much importance in many scientific fields. Recent work of Tapia Costa et al. (2026) introduced a novel technique for estimating the drift when the diffusion parameter is known, using discrete samples from multiple trajectories. Their method treats drift estimation as a denoising problem, and leverages tools from (conditional) score-matching diffusion models. Although their experiments showed promising results across different drift classes, the question of theoretical guarantees for their estimator was left unanswered. In this note, we address this gap by exploiting techniques from diffusion mo...

AuthorsIoar Casado-Telletxea, Omar Rivasplata
Primary categorystat.ML
Published1 June 2026
Last updated at source1 June 2026
stat.MLcs.LG
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