Papers › Nonlinear MCMC for Bayesian Machine Learning

Nonlinear MCMC for Bayesian Machine Learning

11 Feb 2022arXiv:2202.05621archive 2025-07-28

James Vuckovic

We explore the application of a nonlinear MCMC technique first introduced in [1] to problems in Bayesian machine learning. We provide a convergence guarantee in total variation that uses novel results for long-time convergence and large-particle ("propagation of chaos") convergence. We apply this nonlinear MCMC technique to sampling problems including a Bayesian neural network on CIFAR10.

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make_mcmc_step_fn jamesvuc/nonlinear-mcmc-paper/experiments/2d_exp/2d_exp.py official repository ran · our draft was wrong MIT (permissive) · e8694e16e7b7ad29 · report
make_mcmc_step_fn jamesvuc/nonlinear-mcmc-paper/experiments/cifar10/cifar10_nonlin_resnet_mcmc.py official repository ran · our draft was wrong MIT (permissive) · aae7b12cdd6c24f8 · report
match_dims jamesvuc/nonlinear-mcmc-paper/src/nonlin_mcmc_fns.py official repository ran · our draft was wrong fingerprinted MIT (permissive) · ab1303f5e2e4c45b · report
net_fn jamesvuc/nonlinear-mcmc-paper/experiments/cifar10/cifar10_nonlin_resnet_mcmc.py official repository unverified MIT (permissive) · e660765e7624712b · report
blackbox_mcmc jamesvuc/jax-bayes/jax_bayes/mcmc/utils.py found in paper text by Syntology unverified MIT (permissive) · fc0e06b443e799f7 · report
certainty_acc jamesvuc/jax-bayes/jax_bayes/utils.py found in paper text by Syntology unverified MIT (permissive) · b3c398a4fc4597c2 · report
confidence_bands jamesvuc/jax-bayes/jax_bayes/utils.py found in paper text by Syntology unverified MIT (permissive) · 9be1b2a28b82874f · report
elbo_noscore jamesvuc/jax-bayes/jax_bayes/variational/families.py found in paper text by Syntology unverified MIT (permissive) · 1eeb499267ffa147 · report
elbo_reparam jamesvuc/jax-bayes/jax_bayes/variational/families.py found in paper text by Syntology unverified MIT (permissive) · 98764cfc3c1442a4 · report
entropy jamesvuc/jax-bayes/jax_bayes/utils.py found in paper text by Syntology unverified MIT (permissive) · a9d7883e526e416c · report
gaussian_elbo_reparam jamesvuc/jax-bayes/jax_bayes/variational/families.py found in paper text by Syntology unverified MIT (permissive) · aa2c4808af189ebf · report
sampler jamesvuc/jax-bayes/jax_bayes/mcmc/sampler.py found in paper text by Syntology unverified MIT (permissive) · 604a74bdfc9c0ab6 · report
sum_tree_leaves jamesvuc/jax-bayes/jax_bayes/mcmc/sampler.py found in paper text by Syntology unverified MIT (permissive) · 6071ff452d8fb046 · report
variational_family jamesvuc/jax-bayes/jax_bayes/variational/variational_family.py found in paper text by Syntology unverified MIT (permissive) · 8651ebfa0d0e45f2 · report

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