Bayesian Inference Frameworks

Libraries, algorithms, and educational resources for Bayesian statistical inference, posterior estimation, and model comparison. Includes variational inference, MCMC methods, and Bayesian deep learning. Does NOT include general probabilistic programming languages, frequentist statistics, or domain-specific applications (genetics, trading, etc.) unless they primarily demonstrate Bayesian methodology.

There are 83 bayesian inference frameworks tracked. 15 score above 50 (established tier). The highest-rated is tensorflow/probability at 64/100 with 4,417 stars. 1 of the top 10 are actively maintained.

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#	Framework	Score	Tier	Stars	Language
1	tensorflow/probability Probabilistic reasoning and statistical analysis in TensorFlow	64	Established	4,417	Jupyter Notebook
2	pyro-ppl/pyro Deep universal probabilistic programming with Python and PyTorch	63	Established	8,989	Python
3	erdogant/bnlearn Python package for Causal Discovery by learning the graphical structure of...	63	Established	612	Jupyter Notebook
4	probml/pyprobml Python code for "Probabilistic Machine learning" book by Kevin Murphy	61	Established	7,034	Jupyter Notebook
5	google/edward2 A simple probabilistic programming language.	60	Established	709	Jupyter Notebook
6	astro-informatics/harmonic Machine learning assisted marginal likelihood (Bayesian evidence) estimation...	58	Established	77	Jupyter Notebook
7	cdslaborg/paramonte ParaMonte: Parallel Monte Carlo and Machine Learning Library for Python,...	58	Established	302	Fortran
8	mohd-faizy/Probabilistic-Deep-Learning-with-TensorFlow Probabilistic Deep Learning finds its application in autonomous vehicles and...	56	Established	73	Jupyter Notebook
9	probabilistic-numerics/probnum Probabilistic Numerics in Python.	55	Established	459	Python
10	stan-dev/pystan2 PyStan, the Python interface to Stan	51	Established	928	Python
11	wiseodd/MCMC Collection of Monte Carlo (MC) and Markov Chain Monte Carlo (MCMC)...	51	Established	390	Python
12	krasserm/bayesian-machine-learning Notebooks about Bayesian methods for machine learning	51	Established	1,911	Jupyter Notebook
13	AmazaspShumik/sklearn-bayes Python package for Bayesian Machine Learning with scikit-learn API	50	Established	523	Jupyter Notebook
14	thu-ml/zhusuan A probabilistic programming library for Bayesian deep learning, generative...	50	Established	2,220	Python
15	liesel-devs/liesel A probabilistic programming framework	50	Established	45	Python
16	JavierAntoran/Bayesian-Neural-Networks Pytorch implementations of Bayes By Backprop, MC Dropout, SGLD, the Local...	49	Emerging	1,960	Jupyter Notebook
17	blei-lab/edward A probabilistic programming language in TensorFlow. Deep generative models,...	49	Emerging	4,843	Jupyter Notebook
18	dotnet/mbmlbook Sample code for the Model-Based Machine Learning book.	49	Emerging	299	C#
19	yell/boltzmann-machines Boltzmann Machines in TensorFlow with examples	49	Emerging	852	Jupyter Notebook
20	jmschrei/pomegranate Fast, flexible and easy to use probabilistic modelling in Python.	49	Emerging	3,512	Python
21	minaskar/pocomc pocoMC: A Python implementation of Preconditioned Monte Carlo for...	49	Emerging	120	Python
22	Joseph94m/MCMC Implementation of Markov Chain Monte Carlo in Python from scratch	49	Emerging	226	Jupyter Notebook
23	AI-sandbox/ADAMIXTURE Fast population clustering with Adam-EM Optimization.	48	Emerging	17	Python
24	robinthibaut/skbel SKBEL - Bayesian Evidential Learning framework built on top of scikit-learn.	47	Emerging	26	Python
25	ericmjl/bayesian-deep-learning-demystified In which I try to demystify the fundamental concepts behind Bayesian deep learning.	47	Emerging	122	CSS
26	acerbilab/pyvbmc PyVBMC: Variational Bayesian Monte Carlo algorithm for posterior and model...	47	Emerging	124	Python
27	acerbilab/vbmc Variational Bayesian Monte Carlo (VBMC) algorithm for posterior and model...	46	Emerging	233	MATLAB
28	inferno-ml/inferno Bayesian Deep Learning in PyTorch	45	Emerging	9	Python
29	altdeep/probmodeler A open source repository supporting the Probabilistic Modeler in Three...	44	Emerging	11	Jupyter Notebook
30	bayesgroup/deepbayes-2018 Seminars DeepBayes Summer School 2018	43	Emerging	1,046	Jupyter Notebook
31	PySloth/pysloth A Python Package for Probabilistic Prediction	42	Emerging	22	Jupyter Notebook
32	sjchoi86/bayes-nn Lecture notes on Bayesian deep learning	42	Emerging	489	—
33	kyle-dorman/bayesian-neural-network-blogpost Building a Bayesian deep learning classifier	42	Emerging	491	Jupyter Notebook
34	google/bayesnf Bayesian Neural Field models for prediction in large-scale spatiotemporal datasets	42	Emerging	149	Python
35	wbasener/BayesianML This is a GitHub repository for our Bayeisan Machine Learning textbook,...	41	Emerging	24	Jupyter Notebook
36	pierrePalud/beetroots Beetroots (BayEsian invErsion with spaTial Regularization of nOisy...	41	Emerging	12	Python
37	differential-machine-learning/notebooks Implement, demonstrate, reproduce and extend the results of the Risk...	40	Emerging	147	Jupyter Notebook
38	gerdm/bayes Neat Bayesian machine learning examples	40	Emerging	58	Jupyter Notebook
39	clinicalml/dmm Deep Markov Models	39	Emerging	132	Jupyter Notebook
40	florent-leclercq/Bayes_InfoTheory Lectures on Bayesian statistics and information theory	39	Emerging	32	Jupyter Notebook
41	js05212/BayesianDeepLearning-Survey Bayesian Deep Learning: A Survey	38	Emerging	519	—
42	bayesml/BayesML BayesML: your first library for Bayesian machine learning	37	Emerging	20	Python
43	bodywork-ml/bodywork-pymc3-project Serving Uncertainty with Bayesian inference, using PyMC3 with Bodywork	37	Emerging	14	Jupyter Notebook
44	lucadellalib/bayestorch Lightweight Bayesian deep learning library for fast prototyping based on PyTorch	36	Emerging	14	Python
45	probsys/hierarchical-irm Probabilistic structure discovery for rich relational systems	36	Emerging	14	C++
46	thuwzy/ZhuSuan-PyTorch An Elegant Library for Bayesian Deep Learning in PyTorch	35	Emerging	27	Python
47	SilvioBaratto/stockpy Deep Learning Regression and Classification Library built on top of PyTorch and Pyro	35	Emerging	16	Python
48	AlexIoannides/pymc-example-project Example PyMC3 project for performing Bayesian data analysis using a...	35	Emerging	105	Jupyter Notebook
49	dalmia/Bayesian_Decision_Making-Datagiri_Mumbai Jupyter notebook accompanying my talk on "Bayesian Decision Making" for DataGiri	34	Emerging	3	Jupyter Notebook
50	Sanaelotfi/Bayesian_model_comparison Supporing code for the paper "Bayesian Model Selection, the Marginal...	34	Emerging	36	Jupyter Notebook
51	probabilistic-numerics/probnum-gsoc2022 Information and materials for Google Summer of Code participants developing...	33	Emerging	7	—
52	sleglaive/BayesianML Bayesian methods for machine learning course at CentraleSupélec	33	Emerging	8	Jupyter Notebook
53	haihabi/Learned-BCRB This repository contains a python package that computes the Learned Bayesian...	31	Emerging	4	Python
54	desy-ml/cheetah-demos Demos of Cheetah being used for various applications presented in "Cheetah:...	31	Emerging	7	Jupyter Notebook
55	mikeroyal/Bayesian-Statistics-Guide Bayesian Statistics Guide	29	Experimental	17	MATLAB
56	Rapfff/jajapy Baum-Welch for all kind of Markov models	29	Experimental	23	Python
57	draktr/monte-library Monte is a set of Monte Carlo methods in Python. The package is written to...	29	Experimental	5	Python
58	aljaca/MST.PMDN MST.PMDN: 'torch for R' package implementing the deep Multivariate Skew...	27	Experimental	2	R
59	Hundredor/python-bayesian-network-inference 🧠 Implement Bayesian network inference in Python with exact and approximate...	27	Experimental	1	Python
60	thu-ml/Zhusuan-Jittor Zhusuan with backend Jittor	27	Experimental	15	Python
61	navreeetkaur/bayesian-network-learning Learning Bayesian Network parameters using Expectation-Maximisation	27	Experimental	11	Python
62	hal-lab-u-tokyo/OpenBNSL OpenBNSL is a unified framework for fair, reproducible, and transparent...	26	Experimental	5	C++
63	konstantinos-p/Bayesian-Neural-Networks-Reading-List A primer on Bayesian Neural Networks. The aim of this reading list is to...	25	Experimental	59	—
64	Saba-Kublashvili/bayesian-computational-modeling A popular Neuro-Symbolic framework combining Causal Inference, Game Theory,...	25	Experimental	2	Python
65	fless-lab/rsi-framework Bayesian framework for zero-shot compliance monitoring in rule-governed...	23	Experimental	1	Jupyter Notebook
66	Kucharssim/bayesflow-amortized-mixtures Amortized Bayesian Mixture Models	22	Experimental	1	Jupyter Notebook
67	virbahu/monte-carlo-sc-network Monte Carlo simulation SC network robustness	22	Experimental	—	Python
68	vishal-labade/bayesian_models A modular Bayesian inference platform built from scratch using NumPy,...	22	Experimental	—	Python
69	SaiSampathKedari/MonteCarlo-Statistical-Methods A visual, hands-on introduction to Monte Carlo methods with clean...	21	Experimental	3	Jupyter Notebook
70	erstre/loopy_belief_propagation Matlab implementation of Loopy Belief Propagation algorithm for...	19	Experimental	3	MATLAB
71	llfung/ODR-BINDy Model discovery based on Bayesian Evidence (a.k.a. marginal likelihood) and...	19	Experimental	2	MATLAB
72	aaron1rcl/metropolis_hastings_from_scratch MCMC Metropolis Hastings and Bayesian Regression from Scratch	19	Experimental	14	Jupyter Notebook
73	arneschreuder/masters Training Feedforward Neural Networks with Bayesian Hyper-Heuristics	19	Experimental	4	Jupyter Notebook
74	juandavm/em4gmm Extremely fast C implementation of the clustering Expectation Maximization...	19	Experimental	3	C
75	BrightManu-lang/SPN-param-recovery A Simple Approximate Bayesian Inference Neural Surrogate for Stochastic...	15	Experimental	2	PLSQL
76	williambdean/pymc-mlflow-example MLflow logging for PyMC	15	Experimental	14	Python
77	damn8daniel/em-algorithm EM Algorithm from scratch. GMM, HMM (Baum-Welch), Mixture of Factor...	14	Experimental	—	Python
78	khanfs/ComplexSystemsModelling-Bayesian Complex Systems Modelling	13	Experimental	—	R
79	rm-learning/BayesianAI_DataScience 🫧 Learning the different implementation approaches of bayesian methods using...	11	Experimental	—	Jupyter Notebook
80	abhishek116002/GMMHMM Using Hidden Markov Model with Gaussian Mixture Model Emissions for...	11	Experimental	—	—
81	simranjeet97/Bayesian-Networks-in-AI Bayesian Networks Explain along with Architecture and Working and Python...	11	Experimental	—	Jupyter Notebook
82	shaunabanana/simple-bayesnet A simple visual tool to build and run inference on your own Bayesian Network.	10	Experimental	2	JavaScript
83	KauaHenSilva/python_reduction_boltzmann_digits This repository contains a Deep Learning project using Restricted Boltzmann...	10	Experimental	2	Jupyter Notebook

Comparisons in this category

probability and Probabilistic-Deep-Learning-with-TensorFlow (64 vs 56) bayesian-machine-learning and sklearn-bayes (51 vs 50)