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- Carlo Cellucci, Alfonso M. Albano, P. E. Rapp
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

Given two time series X and Y , their mutual information, I (X,Y) = I (Y,X) , is the average number of bits of X that can be predicted by measuring Y and vice versa. In the analysis of observationalâ€¦ (More)

- Carlo Cellucci
- 2003

1 The closed world view In his book The Value of Science PoincarÃ© criticizes a certain view on the growth of mathematical knowledge: " The advance of science is not comparable to the changes of aâ€¦ (More)

A numerical algorithm is presented for estimating whether, and roughly to what extent, a time series is noise corrupted. Using phase-randomized surrogates constructed from the original signal,â€¦ (More)

One of the most uninformative statements one could possibly make about mathematics is that the axiomatic method expresses the real nature of mathematics, i.e., that mathematics consists in theâ€¦ (More)

- Carlo Cellucci
- 2013

The philosophy of mathematics of the last few decades is commonly distinguished into mainstream and maverick, to which a â€˜third wayâ€™ has been recently added, the philosophy of mathematical practice.â€¦ (More)

- Carlo Cellucci
- 2005

The aim of this paper is not to provide any systematic reconstruction of Kreiselâ€™s views but only to discuss some claims concerning the relationship between mathematical logic and the philosophy ofâ€¦ (More)

- T. A. A. Watanabe, Carlo Cellucci, +4 authors P. E. Rapp
- Psychophysiology
- 2003

Symbolic measures of complexity provide a quantitative characterization of the sequential structure of symbol sequences. Promising results from the application of these methods to the analysis ofâ€¦ (More)

- P. E. Rapp, Carlo Cellucci, Kathryn E. Korslund, T. A. A. Watanabe, Miguel A. JimÃ©nez-MontaÃ±o
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

The algorithmic complexity of a symbol sequence is sensitive to the length of the message. Additionally, in those cases where the sequence is constructed by the symbolic reduction of anâ€¦ (More)

- Heike Neumeister, Carlo Cellucci, P. E. Rapp, Henri Korn, Donald S. Faber
- The Journal of experimental biology
- 2004

Goldfish swimming was analysed quantitatively to determine if it exhibits distinctive individual spatio-temporal patterns. Due to the inherent variability in fish locomotion, this hypothesis wasâ€¦ (More)

- Carlo Cellucci, Alfonso M. Albano, P. E. Rapp
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

Embedding experimental data is a common first step in many forms of dynamical analysis. The choice of appropriate embedding parameters (dimension and lag) is crucial to the success of the subsequentâ€¦ (More)