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arXiv 2106.09019cs.LGcs.AIcs.RO
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基于可微代理函数的约束随机系统的分期综合

Amortized Synthesis of Constrained Configurations Using a Differentiable Surrogate

Princeton University(普林斯顿大学)

Xingyuan Sun, Tianju Xue, Szymon Rusinkiewicz, Ryan P. Adams

摘要:

在设计、制造和控制问题中,我们经常面临综合的任务,在这个任务中,我们必须生成一个满足一组约束条件的对象或配置,同时最大化一个或多个目标函数。综合问题的典型特征是一个物理过程,在这个过程中,许多不同的实现方式可以实现目标。这种多对一映射对前馈合成的监督学习提出了挑战,因为可行设计的集合可能具有复杂的结构。此外,许多物理模拟的不可微性质阻止了有效的直接优化。我们解决这两个问题的两个阶段的神经网络架构,我们可以考虑作为一个自动编码器。我们首先学习解码器:一个近似多对一物理实现过程的可微代理。然后我们学习编码器,它从目标映射到设计,同时使用固定的解码器来评估实现的质量。我们评估两个案例研究的方法:挤出机路径规划增材制造和约束软体机器人逆运动学。我们比较我们的方法直接优化的设计,使用学习代理,和监督学习的综合问题。我们发现,我们的方法产生更高质量的解决方案比监督学习,同时具有竞争力的质量与直接优化,在一个大大降低了计算成本。

英文摘要:

In design, fabrication, and control problems, we are often faced with the task of synthesis, in which we must generate an object or configuration that satisfies a set of constraints while maximizing one or more objective functions. The synthesis problem is typically characterized by a physical process in which many different realizations may achieve the goal. This many-to-one map presents challenges to the supervised learning of feed-forward synthesis, as the set of viable designs may have a complex structure. In addition, the non-differentiable nature of many physical simulations prevents efficient direct optimization. We address both of these problems with a two-stage neural network architecture that we may consider to be an autoencoder. We first learn the decoder: a differentiable surrogate that approximates the many-to-one physical realization process. We then learn the encoder, which maps from goal to design, while using the fixed decoder to evaluate the quality of the realization. We evaluate the approach on two case studies: extruder path planning in additive manufacturing and constrained soft robot inverse kinematics. We compare our approach to direct optimization of the design using the learned surrogate, and to supervised learning of the synthesis problem. We find that our approach produces higher quality solutions than supervised learning, while being competitive in quality with direct optimization, at a greatly reduced computational cost.

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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