English

A robust spectral method for finding lumpings and meta stable states of non-reversible Markov chains

Numerical Analysis 2010-02-19 v3

Abstract

A spectral method for identifying lumping in large Markov chains is presented. Identification of meta stable states is treated as a special case. The method is based on spectral analysis of a self-adjoint matrix that is a function of the original transition matrix. It is demonstrated that the technique is more robust than existing methods when applied to noisy non-reversible Markov chains.

Keywords

Cite

@article{arxiv.0810.1127,
  title  = {A robust spectral method for finding lumpings and meta stable states of non-reversible Markov chains},
  author = {Martin Nilsson Jacobi},
  journal= {arXiv preprint arXiv:0810.1127},
  year   = {2010}
}

Comments

10 pages, 7 figures