• Corpus ID: 14137115

Online Covering with Convex Objectives and Applications

@article{Azar2014OnlineCW,
  title={Online Covering with Convex Objectives and Applications},
  author={Yossi Azar and Ilan Reuven Cohen and Debmalya Panigrahi},
  journal={ArXiv},
  year={2014},
  volume={abs/1412.3507}
}
We give an algorithmic framework for minimizing general convex objectives (that are differentiable and monotone non-decreasing) over a set of covering constraints that arrive online. This substantially extends previous work on online covering for linear objectives (Alon {\em et al.}, STOC 2003) and online covering with offline packing constraints (Azar {\em et al.}, SODA 2013). To the best of our knowledge, this is the first result in online optimization for generic non-linear objectives… 

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