The Inference Gym is the place to exercise inference methods to help make them faster, leaner and more robust.
Project description
Inference Gym
Overview
The Inference Gym is the place to exercise inference methods to help make them faster, leaner and more robust. The goal of the Inference Gym is to provide a set of probabilistic inference problems with a standardized interface, making it easy to test new inference techniques across a variety of challenging tasks.
Currently it provides a repository of probabilistic models that can be used to
benchmark (the computational and statistical performance of) inference
algorithms. Probabilistic models are implemented as subclasses of the
Model
class, which minimally provides the following faculties:
 A description of the shapes and dtypes of the parameters of the model.
 Event space bijectors which map from the unconstrained real space, to the support of the model's associated density.
 Ability to compute the log unnormalized density at a certain parameter setting.
 Name of the model.
 Sample transformations, which when applied to samples from the model's density represent quantities with a useful interpretation.
Each model can additionally provide:
 Ground truth quantities associated with each sample transformation. This can include mean, variance and other statistics. If these are estimated via MonteCarlo methods, a standard error is also provided. This can be used to verify the algorithm's level of bias.
Getting started
Check out the tutorial.
Usage
pip install tfpnightly inference_gym # Install at least one the folowing pip install tfnightly # For the TensorFlow backend. pip install jax jaxlib # For the JAX backend. # Install to support external datasets pip install tfdsnightly
import matplotlib.pyplot as plt import numpy as np from inference_gym import using_tensorflow as inference_gym model = inference_gym.targets.GermanCreditNumericLogisticRegression() samples = inference_method( model.unnormalized_log_prob, model.default_event_space_bijector, model.event_shape, model.dtype) plt.figure() plt.suptitle(str(model)) # 'German Credit Numeric Logistic Regression' for i, (name, sample_transformation) in enumerate( model.sample_transformations.items()): transformed_samples = sample_transformation(samples) bias_sq = tf.square( tf.reduce_mean(transformed_samples, 0)  sample_transformation.ground_truth_mean) ess = compute_ess( # E.g. tfp.mcmc.effective_sample_size if using MCMC. transformed_samples, tf.square(sample_transformation.ground_truth_standard_deviation)) plt.subplot(len(model.sample_transformations), 2, 2 * i + 1) plt.title('{} bias^2'.format(sample_transformation)) # e.g. 'Identity bias^2' plt.bar(np.arange(bias_sq.shape[1]), bias_sq) plt.subplot(len(model.sample_transformations), 2, 2 * i + 2) plt.title('{} ess'.format(sample_transformation)) plt.bar(np.arange(ess.shape[1]), ess)
Also, see VectorModel
which can be used to simplify the
interface requirements for the inference method.
What makes for a good Inference Gym Model?
A good model should ideally do one or more of these:
 Help build intuition (usually 1D or 2D for ease of visualization)
 Represent a generally important application of Bayesian inference
 Pose a challenge for inference, e.g.
 high dimensionality
 poor or pathological conditioning
 mixing continuous and discrete latents
 multimodality
 nonidentifiability
 expensive gradients
Naturally, a model shouldn’t have all of those properties so users can more easily do experiments to tease out which complication has what effect on the inference procedure. This isn’t an exhaustive list.
Making changes
Adding a new model
It's easiest to mimic an existing example. Here's a small table to help you find an example. If your model isn't described well by these possibilities, feel free to ask for help.
Bayesian Model?  Real dataset?  Analytic Ground Truth?  Stan Implementation?  Multiple RVs?  Example Model 

Yes  Real  No  Yes  Yes  GermanCreditNumericSparseLogicRegression 
Yes  Real  No  Yes  No  GermanCreditLogicRegression 
Yes  Synthetic  No  Yes  Yes  SyntheticItemResponseTheory 
No  None  Yes  No  No  IllConditionedGaussian 
A Bayesian model in the table above refers to models whose density over the
parameters is computed using the product of a prior and a likelihood function
(i.e. using Bayes' theorem). These models should inherit from the
BayesianModel
class, as it provides some utilities for such
models.
Currently we have a little tooling to help use cmdstanpy
to generate ground
truth values (in the correct format) for models without analytic ground truth.
Using this requires adding a model implementation inside the
inference_gym/tools/stan
directory.
New (and existing) models should follow the Model Contract.
Adding a new real dataset
We strongly encourage you to add your dataset to TensorFlow Datasets first.
Then, you can follow the example of the German Credit (numeric)
dataset used
in the GermanCreditLogicRegression
.
Adding a new synthetic dataset
Follow the example of the SyntheticItemResponseTheory
model.
Generating ground truth files.
See inference_gym/tools/get_ground_truth.py
.
Citing Inference Gym
To cite the Inference Gym:
@software{inferencegym2020, author = {Pavel Sountsov and Alexey Radul and contributors}, title = {Inference Gym}, url = {https://pypi.org/project/inference_gym}, version = {0.0.4}, year = {2020}, }
Make sure to update the version
attribute to match the actual version you're
using.
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