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Deep learning based approaches like Physics-informed neural networks (PINNs) and DeepONets have shown promise on solving PDE constrained optimization (PDECO) problems.
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Siddhartha P Chakrabarty and Floyd B Hanson · 2005
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Nestor V Queipo, Raphael T Haftka, Wei Shyy, Tushar Goel, Rajkumar Vaidyanathan, and P Kevin Tucker · 2005
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Olek C Zienkiewicz, Robert L Taylor, and Jian Z Zhu · 2005
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Bilevel optimization: Convergence analysis and enhanced design
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Yatin Nandwani, Abhishek Pathak, and Parag Singla · 2019
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On the iteration complexity of hypergradient computation
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Physics-informed neural networks with hard constraints for inverse design
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Greedy quasi-newton methods with explicit superlinear convergence
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