Geodesic
New approach to the segmentation problem for time series of arbitrary nature
Informatics and Automation, Stochastic calculus, martingales, and their applications, Tome 287 (2014), pp. 61-74

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We consider the problem of splitting time series of arbitrary nature (stochastic, deterministic, or mixed) into segments generated by the same mechanism. We introduce a new concept of $\in$-complexity of continuous functions and give a characterization of this quantity for Hölder continuous functions. On the basis of the $\in$-complexity parameters, we propose a new technique for the segmentation of time series that does not require any a priori knowledge of how these series were generated. 
@article{TRSPY_2014_287_a3,
     author = {B. S. Darhovsky and A. Piryatinska},
     title = {New approach to the segmentation problem for time series of arbitrary nature},
     journal = {Informatics and Automation},
     pages = {61--74},
     publisher = {mathdoc},
     volume = {287},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2014_287_a3/}
}
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B. S. Darhovsky; A. Piryatinska. New approach to the segmentation problem for time series of arbitrary nature. Informatics and Automation, Stochastic calculus, martingales, and their applications, Tome 287 (2014), pp. 61-74. http://geodesic.mathdoc.fr/item/TRSPY_2014_287_a3/