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  1. Ricci-flow-guided-autoencoders-for-dynamics Ricci-flow-guided-autoencoders-for-dynamics Public

    A manifold-based autoencoder method for learning time-dependent dynamics, namely PDEs, with a manifold latent space subject to Ricci flow

    Jupyter Notebook 3

  2. Convolutional-differentiable-mesh-architecture-for-PINNs Convolutional-differentiable-mesh-architecture-for-PINNs Public

    A domain-differentiable, spatial-independent convolutional architecture for PINNs

    Jupyter Notebook 1

  3. GeONet GeONet Public

    A physics-informed enhanced deep neural operator for the Wasserstein geodesic

    Jupyter Notebook

  4. VAEs-with-latent-high-dimensional-steady-geometric-flows-for-dynamics VAEs-with-latent-high-dimensional-steady-geometric-flows-for-dynamics Public

    A VAE for PDE dynamics endowed with a parameterized manifold latent space subject to a custom geometric flow, enhancing robustness

    Jupyter Notebook