<p>The field of photonics has experienced significant progress due to the exploration and integration of machine learning techniques that can be used to model complex electromagnetic behavior as a function of wavelengths and design parameters. Data samples are extracted from electromagnetic simulators, and the resulting data are used by machine-learning algorithms to build efficient and accurate surrogate models that can be used to speed up design tasks. In this work, we propose a novel hybrid technique that integrates supervised and unsupervised learning. The wavelength variable is included in the input space of the design parameters, and a clustering approach identifies a set of wavelength intervals. This interval information is assigned to a categorical variable and encoded as an input. Finally, a supervised deep learning model is built to link the input space with the electromagnetic behavior of interest. We also explore how including physics-informed regularization smooths the model’s predictions. Extensive numerical experiments validate the method.</p>

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Clustering-enhanced supervised learning for nanophotonic design

  • Ali Al-Zawqari,
  • Gerd Vandersteen,
  • Francesco Ferranti

摘要

The field of photonics has experienced significant progress due to the exploration and integration of machine learning techniques that can be used to model complex electromagnetic behavior as a function of wavelengths and design parameters. Data samples are extracted from electromagnetic simulators, and the resulting data are used by machine-learning algorithms to build efficient and accurate surrogate models that can be used to speed up design tasks. In this work, we propose a novel hybrid technique that integrates supervised and unsupervised learning. The wavelength variable is included in the input space of the design parameters, and a clustering approach identifies a set of wavelength intervals. This interval information is assigned to a categorical variable and encoded as an input. Finally, a supervised deep learning model is built to link the input space with the electromagnetic behavior of interest. We also explore how including physics-informed regularization smooths the model’s predictions. Extensive numerical experiments validate the method.