On Lempel–Ziv complexity for multidimensional data analysis
In this paper, a natural extension of the Lempel–Ziv complexity for several finite-time sequences, defined on finite size alphabets is proposed. Some results on the defined joint Lempel–Ziv complexity are given, as well as properties in connection with the Lempel–Ziv complexity of the individual sequences. Also, some links with Shannon entropies are exhibited and, by analogy, some derived quantities are proposed. Lastly, the potential use of the extended complexities for data analysis is illustrated on random boolean networks and on a proposed multidimensional extension of the minority game.
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Volume (Year): 345 (2005)
Issue (Month): 1 ()
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- Challet, Damien & Marsili, M & Ottino, Gabriele, 2004.
"Shedding light on El Farol,"
Physica A: Statistical Mechanics and its Applications,
Elsevier, vol. 332(C), pages 469-482.
- Damien Challet & Matteo Marsili & Gabriele Ottino, 2004. "Shedding light on El Farol," Game Theory and Information 0406002, EconWPA.
- Rajković, Milan & Mihailović, Zoran, 2003. "Quantifying complexity in the minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 40-47.
- Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
- Luque, Bartolo & Solé, Ricard V., 2000. "Lyapunov exponents in random Boolean networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 33-45.
- Torres, M.E. & Gamero, L.G., 2000. "Relative complexity changes in time series using information measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(3), pages 457-473.
- Földy, Csaba & Somogyvári, Zoltán & Érdi, Péter, 2003. "Hierarchically organized minority games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 735-742.
- Ballesteros, Fernando J & Luque, Bartolo, 2002. "Random Boolean networks response to external periodic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(3), pages 289-300.
- Rajković, Milan, 2000. "Extracting meaningful information from financial data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 383-395. Full references (including those not matched with items on IDEAS)
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