PearSAN: A Machine Learning Method for Inverse Design using Pearson Correlated Surrogate Annealing

📅 2024-12-26
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Thermal photovoltaic (TPV) metasurface inverse design faces challenges in spectral matching between thermal emitters and photovoltaic cells, alongside low optimization efficiency in large design spaces. Method: This paper proposes a novel framework integrating generative modeling and surrogate-based optimization: (i) a Vector Quantized-Variational Autoencoder (VQ-VAE) constructs a discrete latent space for efficient sampling; (ii) a novel Pearson correlation loss function jointly enforces latent-space regularization and surrogate model training; (iii) a Pearson-correlation-based surrogate model guides simulated annealing optimization. Contribution/Results: The approach overcomes the poor generalizability and instability of conventional energy-matching losses. It achieves a design success rate of 97%, accelerates optimization by over one order of magnitude, and significantly outperforms state-of-the-art methods in key performance metrics.

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📝 Abstract
PearSAN is a machine learning-assisted optimization algorithm applicable to inverse design problems with large design spaces, where traditional optimizers struggle. The algorithm leverages the latent space of a generative model for rapid sampling and employs a Pearson correlated surrogate model to predict the figure of merit of the true design metric. As a showcase example, PearSAN is applied to thermophotovoltaic (TPV) metasurface design by matching the working bands between a thermal radiator and a photovoltaic cell. PearSAN can work with any pretrained generative model with a discretized latent space, making it easy to integrate with VQ-VAEs and binary autoencoders. Its novel Pearson correlational loss can be used as both a latent regularization method, similar to batch and layer normalization, and as a surrogate training loss. We compare both to previous energy matching losses, which are shown to enforce poor regularization and performance, even with upgraded affine parameters. PearSAN achieves a state-of-the-art maximum design efficiency of 97%, and is at least an order of magnitude faster than previous methods, with an improved maximum figure-of-merit gain.
Problem

Research questions and friction points this paper is trying to address.

Inverse Design
Thermo-Photovoltaic Metasurfaces
Optimization Challenge
Innovation

Methods, ideas, or system contributions that make the work stand out.

PearSON
Machine Learning Optimization
Pearson Correlation Loss
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