Publication Date

10-29-2021

Document Type

Conference Proceeding

Publication Title

Frontiers in Artificial Intelligence and Applications

Volume

341

DOI

10.3233/FAIA210280

First Page

488

Last Page

495

Abstract

Chen (2018) proposed a scalable spectral clustering algorithm for cosine similarity to handle the task of clustering large data sets. It runs extremely fast, with a linear complexity in the size of the data, and achieves state of the art accuracy. This paper conducts perturbation analysis of the algorithm to understand the effect of discarding a perturbation term in an eigendecomposition step. Our results show that the accuracy of the approximation by the scalable algorithm depends on the connectivity of the clusters, their separation and sizes, and is especially accurate for large data sets.

Keywords

Cosine similarity, Perturbation analysis, Spectral clustering

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

Department

Mathematics and Statistics

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