English(EN) Learning-Guided Integration Contours Construction for Fast Large-Scale Generalized Eigensolvers

深度学习框架优化特征值问题求解器

作者 PulseAugur 编辑部 · [1 个来源] · 2026-06-10 04:00

研究人员开发了Deepcontour，一个使用深度学习优化大规模广义特征值问题（GEP）求解积分轮廓构建的新框架。该方法采用基于深度学习的光谱预测器和核密度估计来自动设计高效轮廓，从而实现显著的加速。该框架在各种科学数据集上实现了高达5.63倍的性能提升，同时保持了数值精度。 AI

影响引入了一种新颖的深度学习方法来加速科学计算任务，可能影响依赖于解决大规模特征值问题的领域。

排序理由该集群包含一篇详细介绍新计算方法的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

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

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arXiv cs.AI TIER_1 English(EN) · Yeqiu Chen, Ziyan Liu, Hong Wang, Lei Liu · 2026-06-10 04:00

用于快速大规模广义特征求解器的学习引导积分轮廓构建

arXiv:2511.01927v2 Announce Type: replace-cross Abstract: Solving large-scale Generalized Eigenvalue Problems (GEPs) is a fundamental yet computationally prohibitive task in science and engineering. As a promising direction, contour integral (CI) methods offer an efficient and pa…