I've contacted the creator behind Half-Life 2 webport (@slqntdev) and it turns out his work is based on Portal webport made by Weliveinhell, which is also fully playable in a browser, just open the site and play!
Neural networks for dynamical systems map high-dimensional fields to low-dimensional manifold latent spaces, where dynamics evolve before the decoder reconstructs the predicted field.
The encoder, consisting of convolutional layers and multilayer perceptrons, compresses the initial field into latent coordinates w and z on the manifold.
The upper part visualizes the encode-project-decode process with example point cloud manifolds.
It is used to accelerate long-term predictions of complex fields in scientific computing applications like fluid dynamics simulations.