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p³VAE: a physics-integrated generative model. Application to the pixel-wise classification of airborne hyperspectral images

19 Oct 2022arXiv:2210.10418archive 2025-07-28

Romain Thoreau, Laurent Risser, Véronique Achard, Béatrice Berthelot, Xavier Briottet

The combination of machine learning models with physical models is a recent research path to learn robust data representations. In this paper, we introduce p³VAE, a generative model that integrates a physical model which deterministically models some of the true underlying factors of variation in the data. To fully leverage our hybrid design, we enhance an existing semi-supervised optimization technique and introduce a new inference scheme that comes along meaningful uncertainty estimates. We apply p³VAE to the pixel-wise classification of airborne hyperspectral images. Our experiments on simulated and real data demonstrate the benefits of our hybrid model against conventional machine learning models in terms of extrapolation capabilities and interpretability. In particular, we show that p³VAE naturally has high disentanglement capabilities. Our code and data have been made publicly available at https://github.com/Romain3Ch216/p3VAE.

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DisentanglementSemantic Segmentation

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