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Publications Influence

Estimating mutual information.

- A. Kraskov, Harald Stögbauer, P. Grassberger
- Mathematics, Medicine
- Physical review. E, Statistical, nonlinear, and…
- 28 May 2003

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 conventional… Expand

2,175 200- PDF

Measuring the Strangeness of Strange Attractors

- P. Grassberger, I. Procaccia
- Mathematics
- 1 October 1983

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 v… Expand

4,145 192

Characterization of Strange Attractors

- P. Grassberger, I. Procaccia
- Physics
- 31 January 1983

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 to… Expand

3,974 187

Measuring the Strangeness of Strange Attractors

- P. Grassberger, I. Procaccia
- Mathematics
- 1983

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 v… Expand

1,098 63

Estimation of the Kolmogorov entropy from a chaotic signal

- P. Grassberger, I. Procaccia
- Physics
- 1 October 1983

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. After… Expand

1,154 58- PDF

Performance of different synchronization measures in real data: a case study on electroencephalographic signals.

- R. Quian Quiroga, A. Kraskov, T. Kreuz, P. Grassberger
- Computer Science, Physics
- Physical review. E, Statistical, nonlinear, and…
- 18 September 2001

TLDR

746 39- PDF

Toward a quantitative theory of self-generated complexity

- P. Grassberger
- Mathematics
- 1 September 1986

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, are… Expand

573 29- PDF

Generalized dimensions of strange attractors

- P. Grassberger
- Physics
- 5 September 1983

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

755 26

A robust method for detecting interdependences: application to intracranially recorded EEG

- J. Arnhold, P. Grassberger, K. Lehnertz, C. Elger
- Mathematics, Physics
- 6 July 1999

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, the… Expand

450 23- PDF

Event synchronization: a simple and fast method to measure synchronicity and time delay patterns.

- R. Quian Quiroga, T. Kreuz, P. Grassberger
- Physics, Computer Science
- Physical review. E, Statistical, nonlinear, and…
- 28 February 2002

TLDR

306 23- PDF

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