递归流匹配
阅读原文· arxiv.org递归流匹配(RecFM)是一种用于预测复杂时空动态的生成式框架。该模型通过强制自一致性来对齐跨离散化尺度的轨迹,从而减少离散化误差并提升物理任务的各项性能。据称,这是首个能够为科学系统实现高保真度一步与少步(2-4步)动态生成的方法,其性能可与最先进的多步求解器相媲美。在多个科学基准测试中,RecFM 实现了最高 20 倍于领先扩散模型的速度提升,同时提高了预测精度。与基础流匹配相比,其均方误差降低了超过 15%。
Generative models have emerged as a powerful paradigm for solving physics systems and modeling complex spatiotemporal dynamics. However, achieving high physical accuracy without incurring high computational cost remains a fundamental challenge, as existing approaches face a critical speed-fidelity trade-off. In this work, we introduce Recursive Flow Matching (RecFM), a generative framework for forecasting complex spatiotemporal dynamics. RecFM enforces self-consistency to align trajectories across discretization scales, reducing discretization errors and improving performance across metrics for physics-based tasks. To our knowledge, this is the first method to achieve high-fidelity one- and few-step (2-4 step) dynamic generation for scientific systems with performance comparable to state-of-the-art multi-step solvers. Across challenging scientific benchmarks, RecFM achieves up to a 20times speedup over leading diffusion-based emulators while improving predictive accuracy. Furthermore, RecFM reduces mean squared error by over 15% compared to vanilla flow matching, offering a scalable and efficient solution for real-time scientific emulation.