Fast Maximum A-Posteriori Inference on Monte Carlo State Spaces

Abstract

Many important algorithms for statistical inference can be expressed as a weighted maxkernel search problem. This is the case with the Viterbi algorithm for HMMs, message construction in maximum a posteriori BP (max-BP), as well as certain particle-smoothing algorithms. Previous work has focused on reducing the cost of this procedure in discrete regular grids [4]. MonteCarlo state spaces, which are vital for highdimensional inference, cannot be handled by these techniques. We present a novel dualtree based algorithm that is appliable to a wide range of kernels and shows substantial performance gains over nave computation.

Cite

Text

Klaas et al. "Fast Maximum A-Posteriori Inference on Monte Carlo State Spaces." Proceedings of the Tenth International Workshop on Artificial Intelligence and Statistics, 2005.

Markdown

[Klaas et al. "Fast Maximum A-Posteriori Inference on Monte Carlo State Spaces." Proceedings of the Tenth International Workshop on Artificial Intelligence and Statistics, 2005.](https://mlanthology.org/aistats/2005/klaas2005aistats-fast/)

BibTeX

@inproceedings{klaas2005aistats-fast,
  title     = {{Fast Maximum A-Posteriori Inference on Monte Carlo State Spaces}},
  author    = {Klaas, Mike and Lang, Dustin and Freitas, Nando},
  booktitle = {Proceedings of the Tenth International Workshop on Artificial Intelligence and Statistics},
  year      = {2005},
  pages     = {158-165},
  volume    = {R5},
  url       = {https://mlanthology.org/aistats/2005/klaas2005aistats-fast/}
}