论文标题
高效的各向异性异质斜率的可靠性分析:机器学习辅助蒙特卡洛法
Highly efficient reliability analysis of anisotropic heterogeneous slopes: Machine Learning aided Monte Carlo method
论文作者
论文摘要
机器学习(ML)算法越来越多地用作替代模型,以提高岩土工程中随机可靠性分析的效率。本文提出了一种高效的ML辅助可靠性技术,能够准确预测蒙特卡洛(MC)可靠性研究的结果,但执行速度更快500倍。对由120,000个模拟样品组成的各向异性异质斜率进行了完整的MC可靠性分析,该斜率与提出的ML辅助随机技术并行进行。比较完整的MC研究结果和提出的ML辅助技术,实际检查了所提出方法的预期错误。规避训练数据集安全因素的耗时计算,提出的技术比以前的方法更有效。介绍,优化和比较了不同的ML模型,包括随机森林(RF),支持向量机(SVM)和人工神经网络(ANN)。讨论了培训和测试数据集的大小和类型的影响。 ML预测失败概率的预期误差的特征是土壤异质性和各向异性水平不同。仅使用1%的MC样品来训练ML替代模型,该提出的技术可以准确预测失败的概率,而平均误差限制为0.7%。提出的技术将我们的研究所需的计算时间从306天减少到仅14小时,可提高效率500倍。
Machine Learning (ML) algorithms are increasingly used as surrogate models to increase the efficiency of stochastic reliability analyses in geotechnical engineering. This paper presents a highly efficient ML aided reliability technique that is able to accurately predict the results of a Monte Carlo (MC) reliability study, and yet performs 500 times faster. A complete MC reliability analysis on anisotropic heterogeneous slopes consisting of 120,000 simulated samples is conducted in parallel to the proposed ML aided stochastic technique. Comparing the results of the complete MC study and the proposed ML aided technique, the expected errors of the proposed method are realistically examined. Circumventing the time-consuming computation of factors of safety for the training datasets, the proposed technique is more efficient than previous methods. Different ML models, including Random Forest (RF), Support Vector Machine (SVM) and Artificial Neural Networks (ANN) are presented, optimised and compared. The effects of the size and type of training and testing datasets are discussed. The expected errors of the ML predicted probability of failure are characterised by different levels of soil heterogeneity and anisotropy. Using only 1% of MC samples to train ML surrogate models, the proposed technique can accurately predict the probability of failure with mean errors limited to 0.7%. The proposed technique reduces the computational time required for our study from 306 days to only 14 hours, providing 500 times higher efficiency.