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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.10721 |
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| _version_ | 1866914386320293888 |
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| author | Cheng, Kangke Song, Shihong Mo, Guanlin Ding, Hu |
| author_facet | Cheng, Kangke Song, Shihong Mo, Guanlin Ding, Hu |
| contents | In this paper, we investigate the learning-augmented $k$-median clustering problem, which aims to improve the performance of traditional clustering algorithms by preprocessing the point set with a predictor of error rate $α\in [0,1)$. This preprocessing step assigns potential labels to the points before clustering. We introduce an algorithm for this problem based on a simple yet effective sampling method, which substantially improves upon the time complexities of existing algorithms. Moreover, we mitigate their exponential dependency on the dimensionality of the Euclidean space. Lastly, we conduct experiments to compare our method with several state-of-the-art learning-augmented $k$-median clustering methods. The experimental results suggest that our proposed approach can significantly reduce the computational complexity in practice, while achieving a lower clustering cost. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10721 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sample-and-Search: An Effective Algorithm for Learning-Augmented k-Median Clustering in High dimensions Cheng, Kangke Song, Shihong Mo, Guanlin Ding, Hu Data Structures and Algorithms Machine Learning In this paper, we investigate the learning-augmented $k$-median clustering problem, which aims to improve the performance of traditional clustering algorithms by preprocessing the point set with a predictor of error rate $α\in [0,1)$. This preprocessing step assigns potential labels to the points before clustering. We introduce an algorithm for this problem based on a simple yet effective sampling method, which substantially improves upon the time complexities of existing algorithms. Moreover, we mitigate their exponential dependency on the dimensionality of the Euclidean space. Lastly, we conduct experiments to compare our method with several state-of-the-art learning-augmented $k$-median clustering methods. The experimental results suggest that our proposed approach can significantly reduce the computational complexity in practice, while achieving a lower clustering cost. |
| title | Sample-and-Search: An Effective Algorithm for Learning-Augmented k-Median Clustering in High dimensions |
| topic | Data Structures and Algorithms Machine Learning |
| url | https://arxiv.org/abs/2603.10721 |