Many machine learning methods have been recently developed to circumvent the high computational cost of the gradient-based topology optimization. These methods typically require extensive and costly datasets for training, have a difficult time generalizing to unseen boundary and loading conditions and to new domains, and do not take into consideration topological constraints of the predictions, which produces predictions with inconsistent topologies. We present a deep learning method based on generative adversarial networks for generative design exploration. The proposed method combines the generative power of conditional GANs with the knowledge transfer capabilities of transfer learning methods to predict optimal topologies for unseen boundary conditions. We also show that the knowledge transfer capabilities embedded in the design of the proposed algorithm significantly reduces the size of the training dataset compared to the traditional deep learning neural or adversarial networks. Moreover, we formulate a topological loss function based on the bottleneck distance obtained from the persistent diagram of the structures and demonstrate a significant improvement in the topological connectivity of the predicted structures. We use numerous examples to explore the efficiency and accuracy of the proposed approach for both seen and unseen boundary conditions in 2D.
翻译:最近开发了许多机器学习方法,以绕过基于梯度的地形优化的高计算成本,这些方法通常需要广泛和昂贵的培训数据集,难以把时间推广到看不见的边界和装载条件以及新的领域,而且没有考虑到预测的地形限制,预测的地形限制会产生不一致的地形预测,我们提出一种基于基因对抗网络的深层次学习方法,用于基因设计探索;拟议方法将有条件的GAN的基因变异能力与知识转让学习方法的知识转移能力结合起来,以预测对看不见边界条件的最佳地形。我们还表明,与传统的深层学习神经或对抗网络相比,拟议算法中所包含的知识转移能力大大缩小了培训数据集的规模。此外,我们根据从结构的持久性图表中获得的瓶颈距离制定了一个表层损失功能,并表明预测的结构的地形连通性有了重大改进。我们用无数的例子来探讨2D中为所见和不可见的边界条件拟议的方法的效率和准确性。