Generative AI Solvers

[dario-coscia]

Is your feature request related to a problem? Please describe. While GenAI is increasingly being used in scientific research, the PINA framework currently offers limited support for GenAI solvers, with GAROM being the only one implemented so far. This restricts the flexibility and applicability of PINA for a broader range of scientific and engineering problems. Expanding the library to include additional solvers would significantly enhance its utility and make it a more powerful tool for researchers working with physics-informed neural networks (PINNs).

Describe the solution you'd like Implementation of main GenAI solvers:

• GANs (and variants)
• VAEs (and variants)
• Diffusion (and variants)
• Flow Matching (and variants)