7  AI Surrogates

Warning🚧 Under Construction

This chapter is currently being developed.

7.0.1 DeepONet

NoteComing Soon
  • Branch and trunk networks
  • Operator learning framework
  • Geophysical applications

7.1 Gaussian Processes

NoteComing Soon
  • GP fundamentals
  • Kernel selection
  • Scalable GPs

7.2 Reduced-Order Models

NoteComing Soon
  • Proper Orthogonal Decomposition (POD)
  • Dynamic Mode Decomposition (DMD)
  • Neural network-enhanced ROM

7.3 Uncertainty Quantification

NoteComing Soon
  • Epistemic vs aleatoric uncertainty
  • Ensemble methods
  • Bayesian neural networks

7.4 Multi-Fidelity Modeling

NoteComing Soon
  • Combining cheap and expensive models
  • Transfer learning
  • Active learning for surrogates