Title
HINT: Hierarchical Invertible Neural Transport for General and Sequential Bayesian inference.
Abstract
In this paper, we introduce Hierarchical Invertible Neural Transport (HINT), an algorithm that merges Invertible Neural Networks and optimal transport to sample from a posterior distribution in a Bayesian framework. This method exploits a hierarchical architecture to construct a Knothe-Rosenblatt transport map between an arbitrary density and the joint density of hidden variables and observations. After training the map, samples from the posterior can be immediately recovered for any contingent observation. Any underlying model evaluation can be performed fully offline from training without the need of a model-gradient. Furthermore, no analytical evaluation of the prior is necessary, which makes HINT an ideal candidate for sequential Bayesian inference. We demonstrate the efficacy of HINT on two numerical experiments.
Year
Venue
DocType
2019
arXiv: Machine Learning
Journal
Volume
Citations 
PageRank 
abs/1905.10687
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Gianluca Detommaso121.72
Jakob Kruse232.10
Lynton Ardizzone334.47
Carsten Rother49074451.62
Ullrich Köthe500.34
Robert Scheichl641538.01