Overview and implementation of Belief Propagation and Loopy Belief Propagation algorithms: sum-product, max-product, max-sum

Loopy belief propagation for factor graphs on discrete variables in JAX

PyHGF: A neural network library for predictive coding

Clique recycling non-Gaussian (multi-modal) factor graph solver; also see Caesar.jl.

factor graph library

Implementation of simple block matching, block matching with dynamic programming and Stereo Matching using Belief Propagation algorithm for stereo disparity estimation

Belief propagation with sparse matrices (scipy.sparse) in Python for LDPC codes. Includes NumPy implementation of message passing (min-sum and sum-product) and a few other decoders.

Linear Gaussian Bayesian Networks - Inference, Parameter Learning and Representation. 🖧

The algorithm solves the DC state estimation problem in electric power systems using the Gaussian belief propagation over factor graphs.

The FactorGraph package provides the set of different functions to perform inference over the factor graph with continuous or discrete random variables using the belief propagation algorithm.

Conditional Associative Logic Memory

The Belief Propagation approximation for probability distributions on sparse graphs

Belief propagation on Tanner graphs (LDPC decoder)

Slides and code for the Morgan Claypool book on "Individual and Collective Graph Mining: Principles, Algorithms and Applications"

Deterministic, replay-safe runtime for quantum error correction and invariant-driven computation, enabling proof-carrying execution, topology-aware diagnostics, and verifiable reduction of redundant compute.

Expectation Particle Belief Propagation code

Repository contains the derivation of Belief Propagation algorithm from the ground up, as well as generic Java implementation of the Loopy Belief Propagation algorithm.

Gaussian belief propagation solver for noisy linear systems with real coefficients and variables.

Generalized Gaussian belief propagation solvers

A Julia interface to popular python packages for decoding quantum error correcting codes.