A Comparison of PDF Projection with Normalizing Flows and SurVAE

Paul M. Baggenstoss, Felix Govaers
11/24/2023
cs.LGstat.ME

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Abstract

Normalizing flows (NF) recently gained attention as a way to construct generative networks with exact likelihood calculation out of composable layers. However, NF is restricted to dimension-preserving transformations. Surjection VAE (SurVAE) has been proposed to extend NF to dimension-altering transformations. Such networks are desirable because they are expressive and can be precisely trained. We show that the approaches are a re-invention of PDF projection, which appeared over twenty years earlier and is much further developed.

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@article{baggenstoss2023comparison,
  title  = {A Comparison of PDF Projection with Normalizing Flows and SurVAE},
  author = {Paul M. Baggenstoss and Felix Govaers},
  year   = {2023},
  eprint = {2311.14412},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2311.14412v2}
}

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