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• W1636002480 abstract "We present approximation algorithms for two problems: Stochastic Boolean Function Evaluation (SBFE) and Stochastic Submodular Set Cover (SSSC). Our results for SBFE problems are obtained by reducing them to SSSC problems through the construction of appropriate utility functions.We give a new algorithm for the SSSC problem that we call Adaptive Dual Greedy. We use this algorithm to obtain a 3-approximation algorithm solving the SBFE problem for linear threshold formulas. We also get a 3-approximation algorithm for the closely related Stochastic Min-Knapsack problem, and a 2-approximation for a natural special case of that problem. In addition, we prove a new approximation bound for a previous algorithm for the SSSC problem, Adaptive Greedy.We consider an approach to approximating SBFE problems using existing techniques, which we call the Q-value approach. This approach easily yields a new result for evaluation of CDNF formulas, and we apply variants of it to simultaneous evaluation problems and a ranking problem. However, we show that the Q-value approach provably cannot be used to obtain a sublinear approximation factor for the SBFE problem for linear threshold formulas or read-once DNF." @default.
• W1636002480 created "2016-06-24" @default.
• W1636002480 creator A5039703362 @default.
• W1636002480 creator A5078910994 @default.
• W1636002480 creator A5088605172 @default.
• W1636002480 date "2014-01-05" @default.
• W1636002480 modified "2023-09-24" @default.
• W1636002480 title "Approximation algorithms for stochastic boolean function evaluation and stochastic submodular set cover" @default.
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• W1636002480 doi "https://doi.org/10.5555/2634074.2634181" @default.
• W1636002480 hasPublicationYear "2014" @default.
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