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Modeling and inference using partially observed Markov process (POMP) models

Project description

Project Status: Active codecov Documentation Status PyPI version

Pypomp

Pypomp is a Python/JAX library for modeling and inference using partially observed Markov process (POMP) models (also called state-space models or hidden Markov models).


🚀 Quick Links

📖 Read the Documentation 🎓 Introductory Tutorial
🏫 SBIED Course (Practical Modeling) 📊 Quantitative Benchmarks

Installation

Install pypomp using pip:

pip install pypomp

📝 Note: pypomp is powered by JAX for GPU acceleration and just-in-time (JIT) compilation. To configure JAX for GPU computing, please follow the JAX Installation Guide.

Quick Start

Get started quickly by running a particle filter on a built-in Linear Gaussian model:

import jax
import pypomp as pp

# 1. Initialize a built-in Linear Gaussian model with 50 time steps
model = pp.models.LG(T=50)

# 2. Run the particle filter with J=1000 particles
key = jax.random.key(1)
model.pfilter(J=1000, key=key)

# 3. Retrieve and print the estimated log-likelihood using .results()
results_df = model.results()
log_lik = results_df["logLik"].iloc[0]
print(f"Log-Likelihood: {log_lik:.4f}")

Expected Users

  1. Scientists wanting to perform data analysis on a dynamic system via a POMP model.

  2. Researchers wishing to develop novel inference methodology. Pypomp provides an abstract representation of POMP models that enables researchers to develop, test, and deploy novel algorithms applicable to arbitrary nonlinear non-Gaussian POMP models.

  3. Researchers familiar with the pomp R package. Pypomp extends R-pomp by supporting GPU computing, automatic differentiation, and just-in-time compilation. Conceptually, Pypomp is similar to R-pomp, and so case studies listed in the R-pomp package bibliography are pertinent.

Key Features

  1. State & Parameter Inference: Parameter estimation, model evaluation, and latent state estimation for nonlinear, non-Gaussian POMP models via the particle filter.

  2. Differentiable Particle Filtering: Gradient descent using a new particle filter gradient estimate. This provides state-of-the-art simulation-based maximum likelihood and Bayesian inference.

  3. JAX-Backed Performance: Leverages JAX to provide GPU support, automatic differentiation, and just-in-time compilation.

Governance and Contributions

The Pypomp library is run by the Pypomp organization. All contributions are welcome. Please raise issues or make pull requests on the Pypomp GitHub site or contact the core development team.

📚 Citation

If you use pypomp in your research, please cite it as:

@software{pypomp2024github,
  author  = {Aaron Abkemeier and Jun Chen and Edward Ionides and Jesse Wheeler and Kevin Tan},
  title   = {pypomp},
  url     = {https://github.com/pypomp/pypomp},
  version = {0.4.7.0},
  year    = {2026}
}

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