Empirical Inference Conference Paper 2011

Online submodular minimization for combinatorial structures

Most results for online decision problems with structured concepts, such as trees or cuts, assume linear costs. In many settings, however, nonlinear costs are more realistic. Owing to their non-separability, these lead to much harder optimization problems. Going beyond linearity, we address online approximation algorithms for structured concepts that allow the cost to be submodular, i.e., nonseparable. In particular, we show regret bounds for three Hannan-consistent strategies that capture different settings. Our results also tighten a regret bound for unconstrained online submodular minimization.

Author(s): Jegelka, S. and Bilmes, J.
Pages: 345-352
Year: 2011
Month: July
Day: 0
Editors: Getoor, L. , T. Scheffer
Publisher: International Machine Learning Society
Bibtex Type: Conference Paper (inproceedings)
Address: Madison, WI, USA
Event Name: 28th International Conference on Machine Learning (ICML 2011)
Event Place: Bellevue, WA, USA
Digital: 0
Electronic Archiving: grant_archive
ISBN: 978-1-450-30619-5
Links:

BibTex

@inproceedings{JegelkaB2011_3,
  title = {Online submodular minimization for combinatorial structures},
  abstract = {Most results for online decision problems with structured concepts, such as trees or cuts, assume linear costs. In many settings, however, nonlinear costs are more realistic. Owing to their non-separability, these lead to much harder optimization problems. Going beyond linearity, we address online approximation algorithms for structured concepts that allow the cost to be submodular, i.e., nonseparable. In particular, we show regret bounds for three Hannan-consistent strategies that capture different settings. Our results also tighten a regret bound for unconstrained online submodular minimization. },
  pages = {345-352},
  editors = {Getoor, L. , T. Scheffer},
  publisher = {International Machine Learning Society},
  address = {Madison, WI, USA},
  month = jul,
  year = {2011},
  slug = {jegelkab2011_3},
  author = {Jegelka, S. and Bilmes, J.},
  month_numeric = {7}
}