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PerFlow model speeds up spatiotemporal dynamics reconstruction with physics embedding

Researchers have introduced PerFlow, a novel method for reconstructing spatiotemporal dynamics governed by partial differential equations (PDEs) from sparse data. This physics-embedded rectified flow model decouples observation conditioning from physics enforcement, allowing for faster and more stable inference compared to existing generative approaches. PerFlow demonstrates competitive accuracy and strong physics consistency, achieving up to 320 times faster inference than guided diffusion baselines. AI

Summary written by gemini-2.5-flash-lite from 2 sources. How we write summaries →

IMPACT Introduces a more efficient method for scientific modeling with potential applications in various physics-based simulations.

RANK_REASON Academic paper detailing a new method for scientific modeling.

Read on arXiv cs.AI →

COVERAGE [2]

  1. arXiv cs.LG TIER_1 · Hao Zhou, Rui Zhang, Han Wan, Hao Sun ·

    PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics

    arXiv:2605.03548v1 Announce Type: new Abstract: Reconstructing PDE-governed fields from sparse and irregular measurements is challenging due to their ill-posed nature. Deterministic surrogates are trained on dense fields that struggle with limited measurements and uncertainty qua…

  2. arXiv cs.AI TIER_1 · Hao Sun ·

    PerFlow: Physics-Embedded Rectified Flow for Efficient Reconstruction and Uncertainty Quantification of Spatiotemporal Dynamics

    Reconstructing PDE-governed fields from sparse and irregular measurements is challenging due to their ill-posed nature. Deterministic surrogates are trained on dense fields that struggle with limited measurements and uncertainty quantification. Generative models, by learning dist…