Online Sparse Subspace Clustering
arXiv:1902.10842 · doi:10.1109/DSW.2019.8755556
Abstract
This paper focuses on the sparse subspace clustering problem, and develops an online algorithmic solution to cluster data points on-the-fly, without revisiting the whole dataset. The strategy involves an online solution of a sparse representation (SR) problem to build a (sparse) dictionary of similarities where points in the same subspace are considered "similar," followed by a spectral clustering based on the obtained similarity matrix. When the SR cost is strongly convex, the online solution converges to within a neighborhood of the optimal time-varying batch solution. A dynamic regret analysis is performed when the SR cost is not strongly convex.
4 pages, 4 figures. Copyright 2019 IEEE. Published in the 2019 IEEE Data Science Workshop (DSW 2019), scheduled for June 4-6, 2019 in Minneapolis, Minnesota