Neural reparameterization improves structural optimization

September 10, 2019 ยท Declared Dead ยท ๐Ÿ› arXiv.org

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Authors Stephan Hoyer, Jascha Sohl-Dickstein, Sam Greydanus arXiv ID 1909.04240 Category cs.LG: Machine Learning Cross-listed cs.NE, stat.ML Citations 76 Venue arXiv.org Last Checked 5 months ago
Abstract
Structural optimization is a popular method for designing objects such as bridge trusses, airplane wings, and optical devices. Unfortunately, the quality of solutions depends heavily on how the problem is parameterized. In this paper, we propose using the implicit bias over functions induced by neural networks to improve the parameterization of structural optimization. Rather than directly optimizing densities on a grid, we instead optimize the parameters of a neural network which outputs those densities. This reparameterization leads to different and often better solutions. On a selection of 116 structural optimization tasks, our approach produces the best design 50% more often than the best baseline method.
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