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- W2895770860 abstract "We study a statistical method to estimate the optimal value, and the optimality gap of a given solution for stochastic optimization as an assessment of the solution quality. Our approach is based on bootstrap aggregating, or bagging, resampled sample average approximation (SAA). We show how this approach leads to valid statistical confidence bounds for non-smooth optimization. We also demonstrate its statistical efficiency and stability that are especially desirable in limited-data situations, and compare these properties with some existing methods. We present our theory that views SAA as a kernel in an infinite-order symmetric statistic, which can be approximated via bagging. We substantiate our theoretical findings with numerical results." @default.
- W2895770860 created "2018-10-12" @default.
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- W2895770860 date "2018-10-05" @default.
- W2895770860 modified "2023-10-10" @default.
- W2895770860 title "Bounding Optimality Gap in Stochastic Optimization via Bagging: Statistical Efficiency and Stability" @default.
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- W2895770860 doi "https://doi.org/10.48550/arxiv.1810.02905" @default.
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