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Neural reparameterization improves structural optimization

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arxiv 1909.04240 v2 pith:TSJETPRG submitted 2019-09-10 cs.LG cs.NEstat.ML

Neural reparameterization improves structural optimization

classification cs.LG cs.NEstat.ML
keywords optimizationstructuralneuralbestdensitiesmethodoftenreparameterization
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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