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The Cartographer
Lower Bound on the Greedy Approximation Ratio for Adaptive Submodular Cover
May 23, 2024 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Blake Harris, Viswanath Nagarajan
arXiv ID
2405.14995
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.AI,
cs.LG
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
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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