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The Cartographer
Pandora with Inaccurate Priors
February 05, 2025 Β· Declared Dead Β· π arXiv.org
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Authors
Kiarash Banihashem, Xiang Chen, MohammadTaghi Hajiaghayi, Sungchul Kim, Kanak Mahadik, Ryan Rossi, Tong Yu
arXiv ID
2502.03574
Category
cs.DS: Data Structures & Algorithms
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
Abstract
We investigate the role of inaccurate priors for the classical Pandora's box problem. In the classical Pandora's box problem we are given a set of boxes each with a known cost and an unknown value sampled from a known distribution. We investigate how inaccuracies in the beliefs can affect existing algorithms. Specifically, we assume that the knowledge of the underlying distribution has a small error in the Kolmogorov distance, and study how this affects the utility obtained by the optimal algorithm.
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