Partial Mutual Information for Coupling Analysis of Multivariate Time Series. Frenzel, S. & Pompe, B. Physical Review Letters, 99(20):204101, November, 2007.
Partial Mutual Information for Coupling Analysis of Multivariate Time Series [link]Paper  doi  abstract   bibtex   
We propose a method to discover couplings in multivariate time series, based on partial mutual information, an information-theoretic generalization of partial correlation. It represents the part of mutual information of two random quantities that is not contained in a third one. By suitable choice of the latter, we can differentiate between direct and indirect interactions and derive an appropriate graphical model. An efficient estimator for partial mutual information is presented as well.
@article{Frenzel2007,
	title = {Partial {Mutual} {Information} for {Coupling} {Analysis} of {Multivariate} {Time} {Series}},
	volume = {99},
	issn = {0031-9007},
	url = {http://www.ncbi.nlm.nih.gov/pubmed/18233144},
	doi = {10.1103/PhysRevLett.99.204101},
	abstract = {We propose a method to discover couplings in multivariate time series, based on partial mutual information, an information-theoretic generalization of partial correlation. It represents the part of mutual information of two random quantities that is not contained in a third one. By suitable choice of the latter, we can differentiate between direct and indirect interactions and derive an appropriate graphical model. An efficient estimator for partial mutual information is presented as well.},
	number = {20},
	urldate = {2015-10-12},
	journal = {Physical Review Letters},
	author = {Frenzel, Stefan and Pompe, Bernd},
	month = nov,
	year = {2007},
	pmid = {18233144},
	keywords = {\#nosource, data analysis},
	pages = {204101},
}

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