Physics-informed Variational Autoencoders for Improved Robustness to Environmental Factors of Variation

• URL: http://arxiv.org/abs/2210.10418v5
• Date: Wed, 26 Feb 2025 14:08:09 GMT
• Title: Physics-informed Variational Autoencoders for Improved Robustness to Environmental Factors of Variation
• Authors: Romain Thoreau, Laurent Risser, Véronique Achard, Béatrice Berthelot, Xavier Briottet,
• Abstract summary: p$3$VAE is a variational autoencoder that integrates prior physical knowledge about the latent factors of variation related to the data acquisition conditions.<n>We introduce a semi-supervised learning algorithm that strikes a balance between the machine learning part and the physics part.
• Score: 0.6384650391969042
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The combination of machine learning models with physical models is a recent research path to learn robust data representations. In this paper, we introduce p$^3$VAE, a variational autoencoder that integrates prior physical knowledge about the latent factors of variation that are related to the data acquisition conditions. p$^3$VAE combines standard neural network layers with non-trainable physics layers in order to partially ground the latent space to physical variables. We introduce a semi-supervised learning algorithm that strikes a balance between the machine learning part and the physics part. Experiments on simulated and real data sets demonstrate the benefits of our framework against competing physics-informed and conventional machine learning models, in terms of extrapolation capabilities and interpretability. In particular, we show that p$^3$VAE naturally has interesting disentanglement capabilities. Our code and data have been made publicly available at https://github.com/Romain3Ch216/p3VAE.

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