PyMC Bayesian Modeler

Purpose

Provides expert guidance on PyMC for Bayesian modeling in physics, including hierarchical models and advanced inference methods.

Capabilities

• Probabilistic model construction
• NUTS/HMC sampling
• Variational inference
• Gaussian processes
• Model comparison (WAIC, LOO)
• Prior predictive checks

Usage Guidelines

1. Model Building: Construct probabilistic models
2. Priors: Specify informative or weakly informative priors
3. Sampling: Use NUTS for efficient sampling
4. Diagnostics: Check convergence with trace plots and r-hat
5. Comparison: Compare models with information criteria

Tools/Libraries

• PyMC
• arviz
• Theano/JAX