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.
Cite
Text
Jegelka and Bilmes. "Online Submodular Minimization for Combinatorial Structures." International Conference on Machine Learning, 2011.Markdown
[Jegelka and Bilmes. "Online Submodular Minimization for Combinatorial Structures." International Conference on Machine Learning, 2011.](https://mlanthology.org/icml/2011/jegelka2011icml-online/)BibTeX
@inproceedings{jegelka2011icml-online,
title = {{Online Submodular Minimization for Combinatorial Structures}},
author = {Jegelka, Stefanie and Bilmes, Jeff A.},
booktitle = {International Conference on Machine Learning},
year = {2011},
pages = {345-352},
url = {https://mlanthology.org/icml/2011/jegelka2011icml-online/}
}