[Colloquium] Jafar Jafarov Candidacy Exam/Mar 8, 2022
Megan Woodward
meganwoodward at uchicago.edu
Mon Feb 21 11:26:50 CST 2022
This is an announcement of Jafar Jafarov's Candidacy Exam.
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Candidate: Jafar Jafarov
Date: Tuesday, March 08, 2022
Time: 2 pm CST
Remote Location: https://uchicago.zoom.us/j/99315816089?pwd=bjhvZGFFenlvYmI4bTlSRUU4Tzhodz09 Meeting ID: 993 1581 6089 Passcode: 725555
Title: Correlation Clustering with Local and Global Objectives
Abstract: In the Correlation Clustering problem, we are given a graph with its edges labeled as "similar" and "dissimilar" by a noisy binary classifier, and the goal is to produce a clustering of the vertex set which matches with the edge labels as much as possible. Correlation Clustering has been mainly studied under two models where the input graph is (i) complete and unweighted, and (ii) arbitrary and weighted.
In this thesis, we introduce a new model of Correlation Clustering that better captures real life instances. In this model the input graph is complete with bounded edge weights. We give an approximation algorithm and give a matching integrality gap instance. Moreover, we examine the model under a l_p objective which is a generalization of the standard Correlation Clustering objective, MinDisagree. We give an approximation algorithm and show an almost matching integrality gap for this objective.
Advisors: Janos Simon and Yury Makarychev
Committee Members: Yury Makarychev, Aaron Potechin, Konstantin Makarychev, and Janos Simon
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