Corpus ID: 5177155

Hardness of Online Sleeping Combinatorial Optimization Problems

@inproceedings{Kale2016HardnessOO,
  title={Hardness of Online Sleeping Combinatorial Optimization Problems},
  author={S. Kale and C. Lee and D. P{\'a}l},
  booktitle={NIPS},
  year={2016}
}
We show that several online combinatorial optimization problems that admit efficient no-regret algorithms become computationally hard in the sleeping setting where a subset of actions becomes unavailable in each round. Specifically, we show that the sleeping versions of these problems are at least as hard as PAC learning DNF expressions, a long standing open problem. We show hardness for the sleeping versions of Online Shortest Paths, Online Minimum Spanning Tree, Online $k$-Subsets, Online $k… Expand
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