GitPedia

Py factorgraph

Factor graphs and loopy belief propagation implemented in Python

From mbforbes·Updated April 3, 2026·View on GitHub·

This is a tiny python library that allows you to build factor graphs and run the (loopy) belief propagation algorithm with ease. It depends only on [`numpy`](http://www.numpy.org/). The project is written primarily in Python, distributed under the MIT License license, first published in 2016. Key topics include: factor, factor-graph, graph, lbp, loopy-belief-propagation.

py-factorgraph

Build status
Coverage Status
license MIT

This is a tiny python library that allows you to build factor graphs and run
the (loopy) belief propagation algorithm with ease. It depends only on
numpy.

Installation

bash
pip install factorgraph

Example

Code (found in examples/simplegraph.py)

python
import numpy as np import factorgraph as fg # Make an empty graph g = fg.Graph() # Add some discrete random variables (RVs) g.rv('a', 2) g.rv('b', 3) # Add some factors, unary and binary g.factor(['a'], potential=np.array([0.3, 0.7])) g.factor(['b', 'a'], potential=np.array([ [0.2, 0.8], [0.4, 0.6], [0.1, 0.9], ])) # Run (loopy) belief propagation (LBP) iters, converged = g.lbp(normalize=True) print('LBP ran for %d iterations. Converged = %r' % (iters, converged)) print() # Print out the final messages from LBP g.print_messages() print() # Print out the final marginals g.print_rv_marginals(normalize=True)

Run with python -m examples.simplegraph. Output:

LBP ran for 3 iterations. Converged = True

Current outgoing messages:
	b -> f(b, a) 	[ 0.33333333  0.33333333  0.33333333]
	f(a) -> a 	[ 0.3  0.7]
	a -> f(a) 	[ 0.23333333  0.76666667]
	a -> f(b, a) 	[ 0.3  0.7]
	f(b, a) -> b 	[ 0.34065934  0.2967033   0.36263736]
	f(b, a) -> a 	[ 0.23333333  0.76666667]

Marginals for RVs (normalized):
a
	 0 	 0.11538461538461539
	 1 	 0.8846153846153845
b
	 0 	 0.34065934065934067
	 1 	 0.29670329670329676
	 2 	 0.3626373626373626

Visualization

You can use factorgraph-viz to
visualize factor graphs interactively in your web browser.

An example rendering of a factor graph using the factorgraph-viz library

Tests

bash
pip install pytest-cov coveralls py.test --cov=factorgraph tests/

Projects using py-factorgraph

Open an issue or send a PR if you'd like your project listed here.

Contributing

There's plenty of low-hanging fruit to work on if you'd like to contribute to
this project. Here are some ideas:

  • Unit tests
  • Auto-generated python docs (what's popular these days?)
  • Performance: measure bottlenecks and improve them (ideas: numba;
    parallelization for large graphs;)
  • Remove or improve ctrl-C catching (the E_STOP)
  • Cleaning up the API (essentially duplicate constructors for RVs and
    Factors within the Graph code; probably should have a node superclass for
    RVs and Factors that pulls out common code).

Releasing

Notes for myself on how to release new versions:

bash
# Bump version in setup.py. Then, python setup.py sdist pip install twine twine upload dist/*

Thanks

  • to Matthew R. Gormley and Jason Eisner for the Structured Belief Propagation
    for NLP Tutorial
    , which was
    extremely helpful for me in learning about factor graphs and understanding
    the sum product algorithm.

  • to Ryan Lester for pyfac, whose tests I
    used directly to test my implementation

Contributors

Showing top 2 contributors by commit count.

View all contributors on GitHub →

This article is auto-generated from mbforbes/py-factorgraph via the GitHub API.Last fetched: 6/21/2026