QPyTorch’s documentation

Tutorials:

• Introduction to Q-Exponential Process (QEP)
• QPyTorch Regression Tutorial

Examples:

• Basic Usage
• Exact QEPs (Regression)
• Exact QEPs with Scalable (GPU) Inference
  • LancZos Variance Estimates (LOVE)
  • Exact QEPs with GPU Acceleration
  • Scalable Posterior Sampling with CIQ
  • Scalable Kernel Approximations
  • Structure-Exploiting Kernels
• Multitask/Multioutput QEPs with Exact Inference
  • Multi-output (vector valued functions)
  • Scalar function with multiple tasks
• QEP Latent Variable Models
• Variational and Approximate QEPs
• Deep QEP and Deep Sigma Point Processes
  • Deep QEP
  • Deep Sigma Point Processes (DSPP)
• PyTorch NN Integration (Deep Kernel Learning)
• QEP Modeling with Derivatives
  • QEPs with Derivatives
  • Solving and Learning PDE with QEP
• Pyro Integration
  • High-level Pyro Interface (for predictive models)
  • Low-level Pyro Interface (for latent function inference)
• Advanced Usage
  • Batch QEPs
  • Variational Fantasization
  • Converting Models to TorchScript

Package Reference

• qpytorch.models
• qpytorch.likelihoods
• qpytorch.kernels
• qpytorch.kernels.keops
• qpytorch.means
• qpytorch.mlls
• qpytorch.metrics
• qpytorch.constraints
• qpytorch.distributions
• qpytorch.priors
• qpytorch.variational
• qpytorch.priors

Settings and Beta Features

• qpytorch.settings
• qpytorch.beta_features

Advanced Package Reference

• qpytorch.Module
• qpytorch.functions
• qpytorch.utils

Indices and tables

• Index

• Module Index

• Search Page

Projects

• Q-Exponential Process [Q-EXP]

• Regularization of Latent Representation [Reg_Rep]

• Deep Q-Exponential Processes [DeepQEP]

• Solving PDE with Q-Exponential Processes [Diff_QEP]

Research references

• Li, Shuyi, Michael O’Connor, and Shiwei Lan. “Bayesian Learning via Q-Exponential Process.” In Advances in NIPS (2023).

• Obite, Chukwudi P., Zhi Chang, Keyan Wu, and Shiwei Lan. “Bayesian Regularization on Latent Representation.” In ICLR (2025).

• Chang, Zhi, Chukwudi P. Obite, Shuang Zhou, and Shiwei Lan. “Deep Q-Exponential Processes. “ In AABI (2025).

• Yu, Guangting and Shiwei Lan. “Solving and Learning Partial Differential Equations with Variational Q-Exponential Processes.” In NIPS (2025).