arXiv:2606.02662cs.LGcs.AI2026-06

自适应动态组合高低精度数据,大幅降低量子化学机器学习成本。

Improvise, Adapt, Overcome: An On-The-Fly Multifidelity Algorithm for Efficient Machine Learning

论文配图:Improvise, Adapt, Overcome: An On-The-Fly Multifidelity Algorithm for Efficient Machine Learning
图 1 · 摘自论文原文
  • 根据模型收敛情况实时调整数据比例,避免冗余采样。
  • 相比单精度方法,数据生成成本降低30倍;优于传统多精度方法5倍。
  • 适合追求低成本高精度的量子化学与材料模拟研究者。

机器学习加速了量子化学计算,但高精度训练数据生成成本过高。多精度机器学习(MFML)通过系统结合大量低精度数据和少量高精度数据缓解这一问题。然而,现有标准方法依赖预设缩放因子确定各精度数据比例,常导致冗余数据,降低效率。本文提出一种自适应的在线多精度框架,可自主决定训练数据组成。算法在每种精度下动态查询样本,待低精度模型准确率饱和后再升级至更高成本的参考计算。我们在多种化学性质上进行了验证,包括耦合簇能量(计算化学黄金标准)及更具挑战性的激发能。实验表明,该自适应算法相较单精度方法将数据生成成本降低最多达30倍,且比标准多精度方法提升最多5倍。该方法有效消除数据冗余,为量子化学中实现高精度、低成本的可持续机器学习提供了新路径。

原文摘要 · Abstract (English)

Machine learning has accelerated quantum chemistry but is hindered by the prohibitive cost of generating high fidelity training data. Multifidelity machine learning (MFML) mitigates this overhead by systematically combining abundant low fidelity data with sparse high fidelity data. In spite of its success, standard MFML schemes rely on pre-defined scaling factors to determine sparse data ratio across fidelities, often generating redundant multifidelity data resulting in a loss of efficiency. Here, we introduce an adaptive on-the-fly multifidelity framework for machine learning that autonomously determines training dataset composition. By dynamically querying training samples at each fidelity, the algorithm saturates model accuracy at lower fidelities before moving up to more expensive reference calculations. We benchmark the novel adaptive-MFML across diverse chemical properties including the computational chemistry gold standard coupled cluster energies, and the more chemically challenging excitation energies. In our numerical experiments we show that our adaptive algorithm reduces data generation costs by up to a factor of 30 compared to single fidelity methods and improves upon standard MFML by up to a factor of 5. The mitigation of data redundancy establishes a high-accuracy low-cost pathway for sustainable cost-aware machine learning in quantum chemistry.

多精度学习量子化学成本优化自适应算法

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