A primal-dual Generalized Sequential algorithm achieves the first competitive ratio bound for online monotone DR-submodular maximization subject to linear packing constraints, matching the tight bound known for linear objectives.
Online primal-dual algo rithms for covering and packing
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Competitive Algorithms for Online Budget-Constrained Continuous DR-Submodular Problems
A primal-dual Generalized Sequential algorithm achieves the first competitive ratio bound for online monotone DR-submodular maximization subject to linear packing constraints, matching the tight bound known for linear objectives.