no code implementations • 7 Aug 2023 • Laxman Dhulipala, Jason Lee, Jakub Łącki, Vahab Mirrokni
Our algorithm is based on a new approach to computing $(1+\epsilon)$-approximate HAC, which is a novel combination of the nearest-neighbor chain algorithm and the notion of $(1+\epsilon)$-approximate HAC.
no code implementations • 6 Apr 2023 • Jacek Miękisz, Javad Mohamadichamgavi, Jakub Łącki
We study stochastic dynamics of the Prisoner's Dilemma game on random Erd\"{o}s-R\'{e}nyi and Barab\'{a}si-Albert networks with a cost of maintaining a link between interacting players.
no code implementations • 29 Dec 2022 • Jakub Łącki, Vahab Mirrokni, Christian Sohler
We study the problem of graph clustering under a broad class of objectives in which the quality of a cluster is defined based on the ratio between the number of edges in the cluster, and the total weight of vertices in the cluster.
1 code implementation • 27 Jul 2021 • Jessica Shi, Laxman Dhulipala, David Eisenstat, Jakub Łącki, Vahab Mirrokni
Our empirical evaluation shows that this framework improves the state-of-the-art trade-offs between speed and quality of scalable community detection.
no code implementations • 10 Jun 2021 • Laxman Dhulipala, David Eisenstat, Jakub Łącki, Vahab Mirrokni, Jessica Shi
For this variant, this is the first exact algorithm that runs in subquadratic time, as long as $m=n^{2-\epsilon}$ for some constant $\epsilon > 0$.
no code implementations • NeurIPS 2020 • Heinrich Jiang, Jennifer Jang, Jakub Łącki
DBSCAN is a popular density-based clustering algorithm.
no code implementations • NeurIPS 2016 • Aris Anagnostopoulos, Jakub Łącki, Silvio Lattanzi, Stefano Leonardi, Mohammad Mahdian
In many of these applications, the input graph evolves over time in a continual and decentralized manner, and, to maintain a good clustering, the clustering algorithm needs to repeatedly probe the graph.