Sparse-pivot: Dynamic correlation clustering for node insertions
Mina Dalirrooyfard, Konstantin Makarychev, Slobodan Mitrović
Abstract
We present a new Correlation Clustering algorithm for a dynamic setting where nodes are added one at a time. In this model, proposed by Cohen-Addad, Lattanzi, Maggiori, and Parotsidis (ICML 2024), the algorithm uses database queries to access the input graph and updates the clustering as each new node is added. Our algorithm has the amortized update time of $\log^{O(1)}(n)$. Its approximation factor is $20+\varepsilon$, which is a substantial improvement over the approximation factor of the algorithm by Cohen-Addad et al. We complement our theoretical findings by empirically evaluating the approximation guarantee of our algorithm. The results show that it outperforms the algorithm by Cohen-Addad et al.~in practice.
BibTeX
@inproceedings{
dalirrooyfard2025sparsepivot,
title={Sparse-pivot: Dynamic correlation clustering for node insertions},
author={Mina Dalirrooyfard and Konstantin Makarychev and Slobodan Mitrovi{\'c}},
booktitle={Forty-second International Conference on Machine Learning},
year={2025},
url={https://openreview.net/forum?id=aQUUUAcAw1}
}