用生成模型替代传统优化,一次产出多个高性能设计。
Generative Inverse Design: From Single Point Optimization to a Diverse Design Portfolio via Conditional Variational Autoencoders
- 基于条件变分自编码器学习参数与性能的分布关系
- 生成256个有效设计,77.2%优于单点最优解
- 适合需要多方案比选的工程设计场景
逆向设计旨在为特定目标输出寻找最优参数,是工程领域的核心挑战。基于代理模型的优化(SBO)虽为标准方法,但其本质趋向单一解,限制了设计空间探索并忽略潜在的替代拓扑。本文提出从单点优化到生成式逆向设计的范式转变。我们引入基于条件变分自编码器(CVAE)的框架,学习系统设计参数与性能之间的概率映射,实现针对特定性能目标的多样化高绩效候选设计生成。将该方法应用于非线性复杂的机翼自噪声最小化问题,以先前基准研究中表现优异的SBO方法为严格基线。CVAE框架成功生成256个新设计,有效性达94.1%。后续代理模型评估显示,其中77.2%的有效设计性能优于SBO基线所找到的单个最优解。结果表明,生成式方法不仅能发现更优解,还可提供丰富多样的设计组合,显著提升工程设计过程,支持多准则决策。
原文摘要 · Abstract (English)
Inverse design, which seeks to find optimal parameters for a target output, is a central challenge in engineering. Surrogate-based optimization (SBO) has become a standard approach, yet it is fundamentally structured to converge to a single-point solution, thereby limiting design space exploration and ignoring potentially valuable alternative topologies. This paper presents a paradigm shift from single-point optimization to generative inverse design. We introduce a framework based on a Conditional Variational Autoencoder (CVAE) that learns a probabilistic mapping between a system's design parameters and its performance, enabling the generation of a diverse portfolio of high-performing candidates conditioned on a specific performance objective. We apply this methodology to the complex, non-linear problem of minimizing airfoil self-noise, using a high-performing SBO method from a prior benchmark study as a rigorous baseline. The CVAE framework successfully generated 256 novel designs with a 94.1\% validity rate. A subsequent surrogate-based evaluation revealed that 77.2\% of these valid designs achieved superior performance compared to the single optimal design found by the SBO baseline. This work demonstrates that the generative approach not only discovers higher-quality solutions but also provides a rich portfolio of diverse candidates, fundamentally enhancing the engineering design process by enabling multi-criteria decision-making.
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