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Lower Bound on the Greedy Approximation Ratio for Adaptive Submodular Cover
Published 23 May 2024 in cs.DS, cs.AI, and cs.LG | (2405.14995v1)
Abstract: We show that the greedy algorithm for adaptive-submodular cover has approximation ratio at least 1.3*(1+ln Q). Moreover, the instance demonstrating this gap has Q=1. So, it invalidates a prior result in the paper ``Adaptive Submodularity: A New Approach to Active Learning and Stochastic Optimization'' by Golovin-Krause, that claimed a (1+ln Q)2 approximation ratio for the same algorithm.
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