Pruned Pivot: Correlation Clustering Algorithm for Dynamic, Parallel, and Local Computation Models

M Dalirrooyfard, K Makarychev, S Mitrović - arXiv preprint arXiv …, 2024 - arxiv.org
Given a graph with positive and negative edge labels, the correlation clustering problem
aims to cluster the nodes so to minimize the total number of between-cluster positive and …

Clustering with Non-adaptive Subset Queries

H Black, E Lee, A Mazumdar, B Saha - arXiv preprint arXiv:2409.10908, 2024 - arxiv.org
Recovering the underlying clustering of a set $ U $ of $ n $ points by asking pair-wise same-
cluster queries has garnered significant interest in the last decade. Given a query $ S\subset …

Min-CSPs on Complete Instances

A Anand, E Lee, A Sharma - arXiv preprint arXiv:2410.19066, 2024 - arxiv.org
Given a fixed arity $ k\geq 2$, Min-$ k $-CSP on complete instances involves a set of $ n $
variables $ V $ and one nontrivial constraint for every $ k $-subset of variables (so there are …

Dynamic Correlation Clustering in Sublinear Update Time

V Cohen-Addad, S Lattanzi, A Maggiori… - arXiv preprint arXiv …, 2024 - arxiv.org
We study the classic problem of correlation clustering in dynamic node streams. In this
setting, nodes are either added or randomly deleted over time, and each node pair is …

Simultaneously Approximating All Norms for Massively Parallel Correlation Clustering

N Cao, S Li, J Ye - arXiv preprint arXiv:2410.09321, 2024 - arxiv.org
We revisit the simultaneous approximation model for the correlation clustering problem
introduced by Davies, Moseley, and Newman [DMN24]. The objective is to find a clustering …

Fully Dynamic Correlation Clustering: Breaking 3-Approximation

S Behnezhad, M Charikar, V Cohen-Addad… - arXiv preprint arXiv …, 2024 - arxiv.org
We study the classic correlation clustering in the dynamic setting. Given $ n $ objects and a
complete labeling of the object-pairs as either similar or dissimilar, the goal is to partition the …

Recent Progress on Correlation Clustering: From Local Algorithms to Better Approximation Algorithms and Back (Invited Talk)

V Cohen-Addad - 32nd Annual European Symposium on …, 2024 - drops.dagstuhl.de
Correlation clustering is a classic model for clustering problems arising in machine learning
and data mining. Given a set of data elements represented as vertices of a graph and …