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title software abstract layout series publisher issn id month tex_title firstpage lastpage page order cycles bibtex_author author date address container-title volume genre issued pdf extras
Coreset Markov chain Monte Carlo
A Bayesian coreset is a small, weighted subset of data that replaces the full dataset during inference in order to reduce computational cost. However, state of the art methods for tuning coreset weights are expensive, require nontrivial user input, and impose constraints on the model. In this work, we propose a new method—coreset MCMC—that simulates a Markov chain targeting the coreset posterior, while simultaneously updating the coreset weights using those same draws. Coreset MCMC is simple to implement and tune, and can be used with any existing MCMC kernel. We analyze coreset MCMC in a representative setting to obtain key insights about the convergence behaviour of the method. Empirical results demonstrate that coreset MCMC provides higher quality posterior approximations and reduced computational cost compared with other coreset construction methods. Further, compared with other general subsampling MCMC methods, we find that coreset MCMC has a higher sampling efficiency with competitively accurate posterior approximations.
inproceedings
Proceedings of Machine Learning Research
PMLR
2640-3498
chen24f
0
{C}oreset {M}arkov chain {M}onte {C}arlo
4438
4446
4438-4446
4438
false
Chen, Naitong and Campbell, Trevor
given family
Naitong
Chen
given family
Trevor
Campbell
2024-04-18
Proceedings of The 27th International Conference on Artificial Intelligence and Statistics
238
inproceedings
date-parts
2024
4
18