Manifold Learning for Knowledge Discovery and Intelligent Inverse Design of Photonic Nanostructures: Breaking the Geometric Complexity
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Abstract (arXiv)
Here, we present a new approach based on manifold learning for knowledge discovery and inverse design with minimal complexity in photonic nanostructures. Our approach builds on studying sub-manifolds of responses of a class of nanostructures with different design complexities in the latent space to obtain valuable insight about the physics of device operation to guide a more intelligent design. In contrast to the current methods for inverse design of photonic nanostructures, which are limited to pre-selected and usually over-complex structures, we show that our method allows evolution from an initial design towards the simplest structure while solving the inverse problem.
Key facts. Cited by 6 papers in the map (data through 14 Oct 2026). Builds on 9 of its 58 references that are in the map. First posted on arXiv 7 Feb 2021.
Builds on
9 of 58 references.
References · 9
- 2018Discovering physical concepts with neural networkscited by 117
- 2019Stochastic AUC Maximization with Deep Neural Networkscited by 61
- 2020Deep neural networks for the evaluation and design of photonic devicescited by 50
- 2020Benchmarking deep inverse models over time, and the neural-adjoint methodcited by 28
- 2018Freeform Diffractive Metagrating Design Based on Generative Adversarial Networkscited by 13
- 2019Deep learning approach based on dimensionality reduction for designing electromagnetic nanostructurescited by 12
- 2020A Cyclical Deep Learning Based Framework For Simultaneous Inverse and Forward design of Nanophotonic Metasurfacescited by 7
- 2019Deep Learning Reveals Underlying Physics of Light-matter Interactions in Nanophotonic Devicescited by 5
- 2019Knowledge Discovery In Nanophotonics Using Geometric Deep Learningcited by 4
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Citing papers per year: 2021: 1; 2022: 0; 2023: 2; 2024: 1; 2025: 2.
6 papers.
- 2021Equivariant neural networks for inverse problemscited by 29
- 2023Data-Driven Design for Metamaterials and Multiscale Systems: A Reviewcited by 17
- 2023Diffusion Probabilistic Model Based Accurate and High-Degree-of-Freedom Metasurface Inverse Designcited by 9
- 2025Inverse Design in Nanophotonics via Representation Learningcited by 7
- 2024Deep learning-based variational autoencoder for classification of quantum and classical states of lightcited by 1
- 2025Bayesian Optimization for Function-Valued Responses under Min-Max Criteriacited by 0
- 2025Bayesian Optimization for Function-Valued Responses under Min-Max Criteria26 Nov 2025
- 2025Inverse Design in Nanophotonics via Representation Learning1 Jul 2025
- 2024Deep learning-based variational autoencoder for classification of quantum and classical states of light8 May 2024
- 2023Data-Driven Design for Metamaterials and Multiscale Systems: A Review1 Jul 2023
- 2023Diffusion Probabilistic Model Based Accurate and High-Degree-of-Freedom Metasurface Inverse Design25 Apr 2023
- 2021Equivariant neural networks for inverse problems23 Feb 2021