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
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License
Department
Mathematics and Statistics
Recommended Citation
Guangliang Chen. "The larger the better: Analysis of a scalable spectral clustering algorithm with cosine similarity" Frontiers in Artificial Intelligence and Applications (2021): 488-495. https://doi.org/10.3233/FAIA210280