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arXiv · 2011.00172

Generalized Sorting with Predictions

Pinyan Lu·Xuandi Ren·Enze Sun·Yubo Zhang
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Abstract

Generalized sorting problem, also known as sorting with forbidden comparisons, was first introduced by Huang et al. together with a randomized algorithm which requires $\tilde O(n^{3/2})$ probes. We study this problem with additional predictions for all pairs of allowed comparisons as input. We propose a randomized algorithm which uses $O(n \log n+w)$ probes with high probability and a deterministic algorithm which uses $O(nw)$ probes, where $w$ is the number of mistakes made by prediction.

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Pinyan Lu, Xuandi Ren, Enze Sun, Yubo Zhang. 2020-10-31. Generalized Sorting with Predictions. https://arxiv.org/abs/2011.00172

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