Covariance-based Dissimilarity Measures Applied to Clustering Wide-sense Stationary Ergodic Processes
Machine Learning
2019-07-03 v4
Abstract
We introduce a new unsupervised learning problem: clustering wide-sense stationary ergodic stochastic processes. A covariance-based dissimilarity measure together with asymptotically consistent algorithms is designed for clustering offline and online datasets, respectively. We also suggest a formal criterion on the efficiency of dissimilarity measures, and discuss of some approach to improve the efficiency of our clustering algorithms, when they are applied to cluster particular type of processes, such as self-similar processes with wide-sense stationary ergodic increments. Clustering synthetic data and real-world data are provided as examples of applications.
Keywords
Cite
@article{arxiv.1801.09049,
title = {Covariance-based Dissimilarity Measures Applied to Clustering Wide-sense Stationary Ergodic Processes},
author = {Qidi Peng and Nan Rao and Ran Zhao},
journal= {arXiv preprint arXiv:1801.09049},
year = {2019}
}