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Some Developments in Clustering Analysis on Stochastic Processes

Machine Learning 2019-08-07 v1 Machine Learning

Abstract

We review some developments on clustering stochastic processes and come with the conclusion that asymptotically consistent clustering algorithms can be obtained when the processes are ergodic and the dissimilarity measure satisfies the triangle inequality. Examples are provided when the processes are distribution ergodic, covariance ergodic and locally asymptotically self-similar, respectively.

Keywords

Cite

@article{arxiv.1908.01794,
  title  = {Some Developments in Clustering Analysis on Stochastic Processes},
  author = {Qidi Peng and Nan Rao and Ran Zhao},
  journal= {arXiv preprint arXiv:1908.01794},
  year   = {2019}
}