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Estimating mutual information.
We present two classes of improved estimators for mutual information M(X,Y), from samples of random points distributed according to some joint probability density mu(x,y). In contrast to conventionalExpand
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Measuring the Strangeness of Strange Attractors
We study the correlation exponent v introduced recently as a characteristic measure of strange attractors which allows one to distinguish between deterministic chaos and random noise. The exponent vExpand
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Characterization of Strange Attractors
A new measure of strange attractors is introduced which offers a practical algorithm to determine their character from the time series of a single observable. The relation of this new measure toExpand
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Measuring the Strangeness of Strange Attractors
We study the correlation exponent v introduced recently as a characteristic measure of strange attractors which allows one to distinguish between deterministic chaos and random noise. The exponent vExpand
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Estimation of the Kolmogorov entropy from a chaotic signal
While there has been recently a dramatic growth in new mathematical concepts related to chaotic systems, ' the detailed comparison between models and experimental data has lagged somewhat. AfterExpand
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Performance of different synchronization measures in real data: a case study on electroencephalographic signals.
TLDR
We study the synchronization between left and right hemisphere rat electroencephalographic (EEG) channels by using various synchronization measures, namely nonlinear interdependences, phase synchronizations, mutual information, cross correlation, and the coherence function. Expand
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Toward a quantitative theory of self-generated complexity
Quantities are defined operationally which qualify as measures of complexity of patterns arising in physical situations. Their main features, distinguishing them from previously used quantities, areExpand
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Generalized dimensions of strange attractors
Abstract It is pointed out that there exists an infinity of generalized dimensions for strange attractors, related to the order-q Renyi entropies. They are monotonically decreasing with q. For q = 0,Expand
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A robust method for detecting interdependences: application to intracranially recorded EEG
We present a measure for characterizing statistical relationships between two time sequences. In contrast to commonly used measures like cross-correlations, coherence and mutual information, theExpand
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Event synchronization: a simple and fast method to measure synchronicity and time delay patterns.
TLDR
We propose a simple method to measure synchronization and time-delay patterns between signals, based on the relative timings of events in the time series, defined, e.g., as local maxima. Expand
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