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Summary of Provable Imbalanced Point Clustering, by David Denisov et al.


Provable Imbalanced Point Clustering

by David Denisov, Dan Feldman, Shlomi Dolev, Michael Segal

First submitted to arxiv on: 26 Aug 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: None

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The paper proposes efficient and provable methods to approximate imbalanced point clustering, fitting k-centers to a set of points in Rd for any d,k≥1. The authors utilize coresets, weighted sets of points that approximate the fitting loss for every model up to a multiplicative factor of 1±ε. They provide experiments showing the empirical contribution of their methods on real images, synthetic data, and real-world data. Additionally, they propose choice clustering, which combines clustering algorithms to achieve better performance than each one separately.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper finds new ways to group similar points together in high-dimensional spaces. It develops efficient methods for fitting k-centers to these points, even when there are more “negative” points than “positive” ones. The authors test their methods on real images, fake data, and real-world datasets. They show that by combining different clustering algorithms, they can get better results.

Keywords

» Artificial intelligence  » Clustering  » Synthetic data