Search Results for author: Jakub Łącki

Found 7 papers, 1 papers with code

TeraHAC: Hierarchical Agglomerative Clustering of Trillion-Edge Graphs

no code implementations7 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.

Clustering

Phase transitions in the Prisoner's Dilemma game on scale-free networks

no code implementations6 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.

Constant Approximation for Normalized Modularity and Associations Clustering

no code implementations29 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.

Clustering Graph Clustering

Scalable Community Detection via Parallel Correlation Clustering

1 code implementation27 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.

Clustering Community Detection +1

Hierarchical Agglomerative Graph Clustering in Nearly-Linear Time

no code implementations10 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 $\epsilon > 0$.

Clustering Graph Clustering

Community Detection on Evolving Graphs

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.

Clustering Community Detection +3

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