用自适应元学习提升结构模型贝叶斯更新效率,无需重训即可跨任务使用。
Adaptive Meta-Learning Stochastic Gradient Hamiltonian Monte Carlo Simulation for Bayesian Updating of Structural Dynamic Models
- 通过自适应神经网络优化采样策略,实现元学习。
- 在不同精度的多层建筑模型上验证,更新效率显著提升。
- 适合需要快速迭代的结构健康监测场景,尤其适用于同类型结构。
近几十年来,马尔可夫链蒙特卡洛(MCMC)方法被广泛应用于结构健康监测中的结构动力学模型贝叶斯更新。近年来,一些结合神经网络的MCMC算法被提出,以提升特定贝叶斯模型更新问题的性能。然而,这些方法普遍存在嵌入的神经网络在面对新任务时需重新训练的问题,耗时且削弱了方法的竞争力。本文提出一种新型自适应元学习随机梯度哈密顿蒙特卡洛(AM-SGHMC)算法。该算法通过训练自适应神经网络优化采样策略,由于网络输入输出的自适应设计,训练好的采样器可直接应用于同类型结构的多种贝叶斯更新问题,无需再训练,从而实现元学习。同时,论文解决了该算法在结构动力学模型更新中的实际可行性问题,并通过两个涉及不同模型精度的多层建筑模型贝叶斯更新案例,验证了所提方法的有效性与泛化能力。
原文摘要 · Abstract (English)
In the last few decades, Markov chain Monte Carlo (MCMC) methods have been widely applied to Bayesian updating of structural dynamic models in the field of structural health monitoring. Recently, several MCMC algorithms have been developed that incorporate neural networks to enhance their performance for specific Bayesian model updating problems. However, a common challenge with these approaches lies in the fact that the embedded neural networks often necessitate retraining when faced with new tasks, a process that is time-consuming and significantly undermines the competitiveness of these methods. This paper introduces a newly developed adaptive meta-learning stochastic gradient Hamiltonian Monte Carlo (AM-SGHMC) algorithm. The idea behind AM-SGHMC is to optimize the sampling strategy by training adaptive neural networks, and due to the adaptive design of the network inputs and outputs, the trained sampler can be directly applied to various Bayesian updating problems of the same type of structure without further training, thereby achieving meta-learning. Additionally, practical issues for the feasibility of the AM-SGHMC algorithm for structural dynamic model updating are addressed, and two examples involving Bayesian updating of multi-story building models with different model fidelity are used to demonstrate the effectiveness and generalization ability of the proposed method.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。