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The problem of sequential detection of a changepoint in the density function of observations from a sequence of independent random variables is considered when both before and after a change-point this density function belongs to a certain family of distributions, i.e. in the general situation of composite hypotheses. A new quality criterion for… (More)

- B. Darkhovsky, A. Piryatinska
- 2012 IEEE Signal Processing in Medicine and…
- 2012

Electroencephalogram (EEG) signals are complex and non-stationary. To analyze and model EEG records the segmentation of the signal into (quasi)- stationary intervals is needed. In this paper we propose a novel approach for the segmentation problem that occurs in “long” EEG records. This approach utilizes the concept of complexity of a… (More)

- B. Darkhovsky, A. Kaplan, M. Kosinov
- 2006 IEEE Conference on Computer Aided Control…
- 2006

A new approach to an estimation of complexity of the electroencephalogram (EEG) in humans is proposed. The basic idea of the approach consists in that complexity of continuous curve must be estimated by a relative part of information which one needs to recover the curve by given set of approximation methods with given accuracy based upon finite number of… (More)

- Boris Darkhovsky, Alexandra Pyriatinska
- ArXiv
- 2013

A formal definition of ǫ-complexity of an individual continuous function defined on a unit cube is proposed. This definition is consistent with the Kolmogorov’s idea of the complexity of an object. A definition of ǫ-complexity for a class of continuous functions with a given modulus of continuity is also proposed. Additionally, an explicit formula for the… (More)

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