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arXiv 2202.10558cs.CEcs.LG
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GAN-DUF:自由形式几何不确定性下设计的分层深度生成模型

GAN-DUF: Hierarchical Deep Generative Models for Design Under Free-Form Geometric Uncertainty

Northwestern University(西北大学)

Wei Wayne Chen, Doksoo Lee, Oluwaseyi Balogun, Wei Chen

摘要:

深度生成模型在学习紧凑和富有表现力的设计表示方面表现出了有效性,这些设计表示显着改善了几何设计优化。然而,这些模型不考虑制造或制造引入的不确定性。过去的工作,量化这种不确定性往往使简化假设的几何变化,而“真实世界”,“自由形式”的不确定性及其对设计性能的影响是难以量化的,由于高维数。为了解决这个问题,我们提出了一个基于生成对抗网络的不确定性框架下的设计(GAN-DUF),它包含一个深度生成模型,可以同时学习标称(理想)设计的紧凑表示和给定任何标称设计的制造设计的条件分布。这开辟了以下新的可能性:1)~构建与形状和拓扑设计兼容的通用不确定性量化模型; 2)~建模自由形式的几何不确定性而无需对几何可变性的分布做出任何假设;以及3)~允许快速预测新标称设计的不确定性。我们可以将所提出的深度生成模型与鲁棒设计优化或基于可靠性的设计优化相结合,用于不确定性设计。我们在两个实际的工程设计实例中展示了该框架,并展示了其在制造后找到具有更好性能的解决方案的能力。

英文摘要:

Deep generative models have demonstrated effectiveness in learning compact and expressive design representations that significantly improve geometric design optimization. However, these models do not consider the uncertainty introduced by manufacturing or fabrication. Past work that quantifies such uncertainty often makes simplifying assumptions on geometric variations, while the "real-world", "free-form" uncertainty and its impact on design performance are difficult to quantify due to the high dimensionality. To address this issue, we propose a Generative Adversarial Network-based Design under Uncertainty Framework (GAN-DUF), which contains a deep generative model that simultaneously learns a compact representation of nominal (ideal) designs and the conditional distribution of fabricated designs given any nominal design. This opens up new possibilities of 1)~building a universal uncertainty quantification model compatible with both shape and topological designs, 2)~modeling free-form geometric uncertainties without the need to make any assumptions on the distribution of geometric variability, and 3)~allowing fast prediction of uncertainties for new nominal designs. We can combine the proposed deep generative model with robust design optimization or reliability-based design optimization for design under uncertainty. We demonstrated the framework on two real-world engineering design examples and showed its capability of finding the solution that possesses better performances after fabrication.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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