Sample-and-Search: An Effective Algorithm for Learning-Augmented k-Median Clustering in High dimensions
This addresses computational bottlenecks in high-dimensional clustering for applications needing efficient data analysis, though it appears incremental.
The paper tackles the learning-augmented k-median clustering problem by introducing a sampling-based algorithm that reduces computational complexity and dependency on dimensionality, achieving lower clustering costs in experiments.
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.