PyTorch uncertainty quantification toolkit with Bayes-by-Backprop VI, Laplace, SGLD, MC Dropout, and Gaussian Processes.
Project description
deepuq
Unified deep learning uncertainty quantification (UQ) toolkit in PyTorch.
Implements five widely used methods:
- Variational Inference (VI) — Bayes by Backprop with BayesianLinear layers.
- Laplace Approximation — native diagonal-family backends (
diag,fisher_diag,lowrank_diag,block_diag) pluslaplace-torchbackends (kron,full). - MCMC (SGLD) — Stochastic Gradient Langevin Dynamics sampler for NN posteriors.
- MC Dropout — Keep dropout active at test-time and aggregate Monte Carlo predictions.
- Gaussian Processes (GPs) — Exact regression and sparse inducing-point approximations with RBF kernels.
Examples and tutorials focus on a synthetic Euler-Bernoulli beam deflection regression task to illustrate confidence bounds.
Method Summary
| Method Family | Implemented Variants | Main Wrapper / Class | Tutorial |
|---|---|---|---|
| Variational Inference | Bayes by Backprop | BayesianLinear, vi_elbo_step |
notebooks/BayesByBackprop_Tutorial.ipynb |
| Laplace Approximation | diag, fisher_diag, lowrank_diag, block_diag, kron, full |
LaplaceWrapper |
notebooks/laplace/Laplace_HessianComparison_Tutorial.ipynb |
| MCMC | Stochastic Gradient Langevin Dynamics | SGLDSampler |
notebooks/SGLD_Tutorial.ipynb |
| MC Dropout | Monte Carlo dropout inference | MCDropoutWrapper |
notebooks/MC_Dropout_Tutorial.ipynb |
| Gaussian Process | Exact GP (RBFKernel) |
GaussianProcessRegressor |
notebooks/GaussianProcess_Tutorial.ipynb |
| Sparse GP | Variational inducing-point GP | SparseGaussianProcessRegressor |
notebooks/SparseGaussianProcess_Tutorial.ipynb |
Install (local)
git clone https://github.com/Vispikarkaria/Deep-UQ.git
cd Deep-UQ
pip install -e .
Install (PyPI)
pip install uqdeepnn
For LaplaceWrapper structures kron and full, install the optional backend:
pip install "laplace-torch>=0.1.7"
Publish / Update PyPI Release
Use this flow whenever you want to publish a new pip version.
- Bump version in
pyproject.toml:
[project]
version = "0.1.2"
- Commit and push the version bump:
git add pyproject.toml
git commit -m "Bump version to 0.1.2"
git push
- Build distributions:
python -m pip install --upgrade build twine
python -m build
- Validate package metadata:
python -m twine check dist/*
- Upload to TestPyPI (recommended first):
python -m twine upload --repository testpypi dist/*
- Upload to PyPI:
python -m twine upload dist/*
- Verify installation:
pip install -U uqdeepnn
python -c "import deepuq; print('deepuq import ok')"
Notes:
- Prefer API tokens over passwords for Twine auth.
- Revoke and rotate any token immediately if it is ever exposed.
Quickstart
import torch
from deepuq.models import MLP
from deepuq.methods import MCDropoutWrapper
# Beam deflection regression input grid
L = 2.0
x = torch.linspace(0.0, L, 200).unsqueeze(-1)
# After training an MLP, enable MC Dropout for uncertainty estimates
model = MLP(input_dim=1, hidden_dims=[128, 128], output_dim=1, p_drop=0.15)
uq = MCDropoutWrapper(model, n_mc=200, apply_softmax=False)
mean, var = uq.predict(x)
print(mean.shape, var.shape)
See the examples/ folder for end-to-end regression scripts on the Euler-Bernoulli beam deflection problem.
Methods
- VI: Place Gaussian posteriors over weights with reparameterization trick and KL regularization.
- Laplace: Fit a Gaussian around a MAP solution using one of multiple curvature structures (
diag,fisher_diag,lowrank_diag,block_diag,kron,full) and calibrate with a prior precision. - MCMC (SGLD): Inject Gaussian noise into SGD steps to sample from the posterior.
- MC Dropout: Use dropout at inference; Monte Carlo average for mean and variance.
- Gaussian Processes: Closed-form posterior inference with RBF kernels for regression and uncertainty-aware interpolation.
For Laplace users:
- Native backends (
diag,fisher_diag,lowrank_diag,block_diag) work without extra runtime dependencies. kronandfulluselaplace-torchunder the hood.
Tutorials
notebooks/BayesByBackprop_Tutorial.ipynb: Variational Inference (Bayes by Backprop) for regression with predictive uncertainty.notebooks/MC_Dropout_Tutorial.ipynb: MC Dropout tutorial on a nonlinear beam-style regression case.notebooks/laplace/Laplace_Tutorial.ipynb: Core Laplace workflow around a MAP model.notebooks/laplace/Laplace_FullHessian_Tutorial.ipynb: Full-Hessian Laplace example (requireslaplace-torch).notebooks/laplace/Laplace_HessianComparison_Tutorial.ipynb: Side-by-side comparison of all Hessian structures (diag,fisher_diag,lowrank_diag,block_diag,kron,full) using shared MAP weights and common metrics (RMSE, NLL, coverage, interval width, ID/OOD uncertainty ratio).notebooks/SGLD_Tutorial.ipynb: MCMC posterior sampling with SGLD.notebooks/GaussianProcess_Tutorial.ipynb: Exact Gaussian Process regression.notebooks/SparseGaussianProcess_Tutorial.ipynb: Sparse variational GP with inducing points.
Gaussian Processes
The module deepuq.models.gaussian_process provides lightweight GP utilities
implemented entirely in PyTorch so everything can run on CPU or GPU.
Exact GP
GaussianProcessRegressor implements closed-form inference with an RBF kernel.
The API mirrors scikit-learn while keeping tensors on the chosen device.
import torch
from deepuq.models import GaussianProcessRegressor, RBFKernel
# Training data
x = torch.linspace(-1.0, 1.0, 40).unsqueeze(-1)
y = torch.sin(2 * torch.pi * x) + 0.05 * torch.randn_like(x)
# Model setup
kernel = RBFKernel(lengthscale=0.5, outputscale=1.0)
gp = GaussianProcessRegressor(kernel=kernel, noise=0.02)
gp.fit(x, y)
# Posterior predictions
x_star = torch.linspace(-1.5, 1.5, 200).unsqueeze(-1)
mean, var = gp.predict(x_star)
samples = gp.posterior_samples(x_star, n_samples=5)
Sparse Variational GP
SparseGaussianProcessRegressor follows the variational inducing-point
approach of Titsias (2009), optimising kernel hyperparameters and inducing
locations with Adam for scalability.
import torch
from deepuq.models import SparseGaussianProcessRegressor
x = torch.linspace(-2.0, 2.0, 500).unsqueeze(-1)
y = torch.sin(2 * torch.pi * x) + 0.1 * torch.randn_like(x)
sparse_gp = SparseGaussianProcessRegressor(num_inducing=40, num_iterations=800)
sparse_gp.fit(x, y)
mean, var = sparse_gp.predict(x[:50])
Explore both flavours in the notebooks
notebooks/GaussianProcess_Tutorial.ipynb (exact GP) and
notebooks/SparseGaussianProcess_Tutorial.ipynb (sparse GP), each of which
visualises posterior means, credible intervals, and posterior samples on toy
datasets.
Documentation
- API docs are in each module and the README sections below.
- Run
pydoc deepuq.methods.vietc., or open the examples.
Contributing
PRs welcome. Please add tests under tests/ and run pytest.
License
MIT
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