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Paper · arXiv

Scalable Learning of Multivariate Distributions via Coresets

Efficient and scalable non-parametric or semi-parametric regression analysis and density estimation are of crucial importance to the fields of statistics and machine learning. However, available methods are limited in their ability to handle large-scale data. We address this issue by developing a novel coreset construction for multivariate conditional transformation models (MCTMs) to enhance their scalability and training efficiency. To the best of our knowledge, these are the first coresets for semi-parametric distributional models. Our approach yields substantial data reduction via importance sampling. It ensures with high probability that the log-likelihood remains within multiplicativ...

AuthorsZeyu Ding, Katja Ickstadt, Nadja Klein et al.
Primary categorycs.LG
Published20 March 2026
Last updated at source20 March 2026
cs.LGcs.DSstat.COstat.MEstat.ML
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