QEP Modeling with Derivatives

Here are some examples of QEP modeling with derivative information in QPyTorch.

QEPs with Derivatives

Like GP, QEP can also model the derivative information when it is available. See the 1D derivatives QEP example and the 2D derivatives QEP example for exact QEP with derivatives. See the variational QEP with 2nd order derivatives notebook for an example of variational QEP with up to second order derivatives.

Solving and Learning PDE with QEP

Due to the enhanced capability to handle inhomogeneity, QEP can be used to solve and learn partial differential equations (PDEs). We demonstrate in Yu and Lan (2025) QEP model with q=1 as a superior probabilistic compared with GP. See this solving PDE with QEP example for a demonstration with Burgers’ equation.