Covariance-based Dissimilarity Measures Applied to Clustering Wide-sense Stationary Ergodic Processes

Autor:	Peng, Qidi, Rao, Nan, Zhao, Ran
Rok vydání:	2018
Předmět:	Statistics - Machine Learning 62-07 60G10 62M10
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1801.09049 Zobrazit plný text záznamu View this record from Arxiv