Sampling from Arbitrary Functions via PSD Models

Abstract

In many areas of applied statistics and machine learning, generating an arbitrary number of inde- pendent and identically distributed (i.i.d.) samples from a given distribution is a key task. When the distribution is known only through evaluations of the density, current methods either scale badly with the dimension or require very involved implemen- tations. Instead, we take a two-step approach by first modeling the probability distribution and then sampling from that model. We use the recently introduced class of positive semi-definite (PSD) models which have been shown to be e

Cite

Text

Marteau-Ferey et al. "Sampling from Arbitrary Functions via PSD Models." Artificial Intelligence and Statistics, 2022.

Markdown

[Marteau-Ferey et al. "Sampling from Arbitrary Functions via PSD Models." Artificial Intelligence and Statistics, 2022.](https://mlanthology.org/aistats/2022/marteauferey2022aistats-sampling/)

BibTeX

@inproceedings{marteauferey2022aistats-sampling,
  title     = {{Sampling from Arbitrary Functions via PSD Models}},
  author    = {Marteau-Ferey, Ulysse and Bach, Francis and Rudi, Alessandro},
  booktitle = {Artificial Intelligence and Statistics},
  year      = {2022},
  pages     = {2823-2861},
  volume    = {151},
  url       = {https://mlanthology.org/aistats/2022/marteauferey2022aistats-sampling/}
}