用机器学习+优化算法,高效设计低成本高性能形状记忆合金。
Comparison of derivative-free and gradient-based minimization for multi-objective compositional design of shape memory alloys
- 用树模型配无梯度优化,神经网络配梯度优化找合金成分。
- 神经网络+梯度优化找到更优组合,收敛更稳定,达标率更高。
- 适合材料设计、多目标优化、小数据场景的科研与工程人员。
设计满足性能目标且成本可控、可持续的形状记忆合金(SMAs)是一项复杂挑战。本文通过机器学习代理模型与数值优化方法,优化合金成分以实现目标马氏体开始温度(Ms)并最小化成本。采用实验数据和物理启发特征训练了两种机器学习模型:基于树的集成模型与神经网络。前者与无梯度优化器COBYLA配合,后者因提供梯度信息,与梯度优化器TRUST-CONSTR配合。结果表明,尽管两类模型对Ms的预测精度相当,但搭配神经网络的TRUST-CONSTR方法能更一致地找到更优解,而COBYLA在初始猜测偏离目标时易陷入次优解。TRUST-CONSTR表现更稳定,更易达成双目标要求。该方法结合实验数据、物理先验与优化算法,为小样本材料设计提供可行路径,可推广至其他存在设计权衡的材料体系。
原文摘要 · Abstract (English)
Designing shape memory alloys (SMAs) that meet performance targets while remaining affordable and sustainable is a complex challenge. In this work, we focus on optimizing SMA compositions to achieve a desired martensitic start temperature (Ms) while minimizing cost. To do this, we use machine learning models as surrogate predictors and apply numerical optimization methods to search for suitable alloy combinations. We trained two types of machine learning models, a tree-based ensemble and a neural network, using a dataset of experimentally characterized alloys and physics-informed features. The tree-based model was used with a derivative-free optimizer (COBYLA), while the neural network, which provides gradient information, was paired with a gradient-based optimizer (TRUST-CONSTR). Our results show that while both models predict Ms with similar accuracy, the optimizer paired with the neural network finds better solutions more consistently. COBYLA often converged to suboptimal results, especially when the starting guess was far from the target. The TRUST-CONSTR method showed more stable behavior and was better at reaching alloy compositions that met both objectives. This study demonstrates a practical approach to exploring new SMA compositions by combining physics-informed data, machine learning models, and optimization algorithms. Although the scale of our dataset is smaller than simulation-based efforts, the use of experimental data improves the reliability of the predictions. The approach can be extended to other materials where design trade-offs must be made with limited data.
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