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English(EN) SBNO : Schr\"odinger Bridge Neural Operator for the Forward and Inverse Problems under Missing Information

新的SBNO框架用有限数据解决偏微分方程

研究人员推出了一种新颖的框架SBNO,专门用于解决偏微分方程(PDE)问题,尤其是在信息不完整的情况下。这种无方程方法利用扩散Schrödinger桥匹配来学习正向和反向PDE任务的条件算子,即使只有稀疏的观测数据。SBNO在五个PDE基准测试中,仅使用5%的观测数据,就展现出优于或媲美现有方法的准确性,并且比引导扩散基线模型更快、内存效率更高。 AI

影响 这个新框架有望提高数据有限领域中科学模拟和建模的效率和准确性。

排序理由 该集群包含一篇详细介绍求解偏微分方程新方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

新的SBNO框架用有限数据解决偏微分方程

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该集群包含一篇详细介绍求解偏微分方程新方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Jaehyeon Park, Inhyeok Jeong, Noseong Park ·

    SBNO:Schrödinger Bridge Neural Operator用于缺失信息下的正向和反向问题

    arXiv:2610.13317v1 Announce Type: new Abstract: Partial differential equation (PDE) surrogate modeling often relies on either dense observations or access to governing equations/physics constraints. In practice, observations can be sparse and partial, and the underlying physics m…