arXiv:2601.10031cs.AI2026-01KDD

用多精度数据训练模型,解决弹性塑性大变形模拟的精度与数量矛盾。

FilDeep: Learning Large Deformations of Elastic-Plastic Solids with Multi-Fidelity Data

  • 融合低精度海量数据与高精度小量数据,提升模型泛化能力。
  • 在拉伸弯曲问题上达到当前最优性能,推理效率高。
  • 适合制造领域中复杂形变模拟,尤其数据稀缺场景。

大变形弹性塑性固体的科学计算在多种制造应用中至关重要。传统数值方法存在固有局限,深度学习成为有前景的替代方案。然而,当前深度学习技术的效果高度依赖于大规模高质量数据集,而大变形问题中此类数据难以获取。数据构建过程中面临数量与精度的两难困境,导致模型性能不佳。针对这一挑战,我们以拉伸弯曲问题为例,提出FilDeep——一种基于精度的深度学习框架,用于弹性塑性固体的大变形模拟。该框架通过同时使用低精度(数量多但精度低)和高精度(数量少但精度高)数据,有效缓解数量-精度矛盾。FilDeep针对实际大变形问题设计了精细结构,特别提出注意力增强的跨精度模块,以捕捉多精度数据间的长程物理关联。据我们所知,FilDeep是首个用于大变形问题的多精度深度学习框架。大量实验表明,该方法持续达到业界领先性能,并可高效部署于制造场景。

原文摘要 · Abstract (English)

The scientific computation of large deformations in elastic-plastic solids is crucial in various manufacturing applications. Traditional numerical methods exhibit several inherent limitations, prompting Deep Learning (DL) as a promising alternative. The effectiveness of current DL techniques typically depends on the availability of high-quantity and high-accuracy datasets, which are yet difficult to obtain in large deformation problems. During the dataset construction process, a dilemma stands between data quantity and data accuracy, leading to suboptimal performance in the DL models. To address this challenge, we focus on a representative application of large deformations, the stretch bending problem, and propose FilDeep, a Fidelity-based Deep Learning framework for large Deformation of elastic-plastic solids. Our FilDeep aims to resolve the quantity-accuracy dilemma by simultaneously training with both low-fidelity and high-fidelity data, where the former provides greater quantity but lower accuracy, while the latter offers higher accuracy but in less quantity. In FilDeep, we provide meticulous designs for the practical large deformation problem. Particularly, we propose attention-enabled cross-fidelity modules to effectively capture long-range physical interactions across MF data. To the best of our knowledge, our FilDeep presents the first DL framework for large deformation problems using MF data. Extensive experiments demonstrate that our FilDeep consistently achieves state-of-the-art performance and can be efficiently deployed in manufacturing.

大变形模拟多精度学习深度学习制造仿真

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