Empirische Inferenz Probabilistic Numerics Article 2012

Entropy Search for Information-Efficient Global Optimization

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Contemporary global optimization algorithms are based on local measures of utility, rather than a probability measure over location and value of the optimum. They thus attempt to collect low function values, not to learn about the optimum. The reason for the absence of probabilistic global optimizers is that the corresponding inference problem is intractable in several ways. This paper develops desiderata for probabilistic optimization algorithms, then presents a concrete algorithm which addresses each of the computational intractabilities with a sequence of approximations and explicitly adresses the decision problem of maximizing information gain from each evaluation.

Author(s): Hennig, P. and Schuler, CJ.
Journal: Journal of Machine Learning Research
Volume: 13
Pages: 1809-1837
Year: 2012
Month: June
Day: 0
Project(s):
Bibtex Type: Article (article)
Electronic Archiving: grant_archive
Event Name: -
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BibTex

@article{HennigS2012,
  title = {Entropy Search for Information-Efficient Global Optimization},
  journal = {Journal of Machine Learning Research},
  abstract = {Contemporary global optimization algorithms are based on local measures of utility, rather than a probability measure over location and value of the optimum. They thus attempt to collect low function values, not to learn about the optimum. The reason for the absence of probabilistic global optimizers is that the corresponding inference problem is intractable in several ways. This paper develops desiderata for probabilistic optimization algorithms, then presents a concrete algorithm which addresses each of the computational intractabilities with a sequence of approximations and explicitly adresses the decision problem of maximizing information gain from each evaluation. },
  volume = {13},
  pages = {1809-1837},
  month = jun,
  year = {2012},
  slug = {hennigs2012},
  author = {Hennig, P. and Schuler, CJ.},
  month_numeric = {6}
}