We suggest a new method for the analysis of experimental time series. The order/disorder characteristics of the compartment fire are determined based on experimental data. From our analysis, we claim that the newly developed so-called PYR-algorithm is suitable to detect unusual data in full-scale fire experiments.

Full Text:



Bandt, C., A new kind of permutation entropy used to classify sleep stages from invisible EEG microstructure. Entropy 2017, 19, 197 (2017).

Bandt, C., Pompe, B., Permutation entropy: a natural complexity measure for time series. Physical review letters, 88(17), 174102 (2002).

Bian, C. Q., Modified permutation-entropy analysis of heartbeat dynamics. Physical Review E, 85(2), 021906 (2012).

Cao, T., Tung, W. W., Gao, J. B., Protopopescu, V. A., Hively, L. M., Detecting dynamical changes in time series using the permutation entropy. Physical review E, 70(4), 046217 (2004).

Crooks, G. E., Inequalities between the Jenson-Shannon and Jeffreys divergences. Tech. Note 004 (2008).

Duan, S., Wang, F., Zhang, Y., Research on the biophoton emission of wheat kernels based on permutation entropy. Optik, 178, 723-730 (2019).

Graham, T. L., Makhviladze, G. M., Roberts, J. P., On the theory of flashover development. Fire Safety Journal, 25(3), 229-259 (1995).

Jeffreys, H., An invariant form for the prior probability in estimation problems. Proc. Roy. Soc. Lon. Ser. A 186, 453-461 (1946).

Kullback, S., Leibler, L. A., On information and sufficiency. Ann. Math. Statistics, 22, 1, 79-86 (1951).

Lamberti, P. W., Martin, M. T., Plastino, A., & Rosso, O. A., Intensive entropic non-triviality measure. Physica A: Statistical Mechanics and its Applications, 334 (1-2), 119-131 (2004).

Lin, J., Divergence measures based on the Shannon entropy. IEEE. IEEE - Transactions on Information Theory 37, 145-151 (1991).

López-Ruiz, R., Mancini, H. L., Calbet, X. A statistical measure of complexity. Physics Letters A, 209 (5-6), 321-326 (1995).

Mitroi-Symeonidis, F. -C., Anghel, I., Furuichi, S., Encodings for the calculation of the permutation hypoentropy and their applications on full-scale compartment fire data. Acta Technica Napocensis, Vol. 62, IV, 607-616 (2019).

Mitroi-Symeonidis, F. -C., Anghel, I., Minculete, N., Parametric Jensen-Shannon Statistical Complexity and its Applications on Full-Scale Compartment Fire Data. Symmetry-Basel (Special Issue: Symmetry in Applied Mathematics), 12(1), 22(2020).

Mitroi-Symeonidis, F. -C., Anghel, I., Lalu, O., Popa, C., The permutation entropy and its applications on fire tests data. J. Appl. Comput. Mech., 6(SI), 1380-1393 (2020).

Murayama, S., Kaku, K., Funatsu, M., Gotoda, H., Characterization of dynamic behavior of combustion noise and detection of blowout in a laboratory-scale gas-turbine model combustor. Proceedings of the Combustion Institute, 37(4), 5271-5278 (2019).

Rao, C. R., Nayak, T. K. (1985). Cross entropy, dissimilarity measures, and characterizations of quadratic entropy. IEEE Trans. Inform. Theory, vol. IT-31. no. 5, 589-593.

Ribeiro, H. V., Zunino, L., Lenzi, E. K., Santoro, P. A., Mendes, R. S., Complexity-entropy causality plane as a complexity measure for two-dimensional patterns. PloS one, 7(8), e40689 (2012).

Shannon, C. E., A mathematical theory of communication. Bell System Technical Journal, 27(3), 379-423 (1948).

Takagi, K., Gotoda, H., Tokuda, I. T., Miyano, T. Dynamic behavior of temperature field in a buoyancy-driven turbulent fire. Physics Letters A, 382(44), 3181-3186 (2018).

Traversaro, F., Ciarrocchi, N., & Pollo-Cattaneo, F., Comparing different approaches to compute Permutation Entropy with coarse time series. Physica A 513, 635-643 (2019).

Traversaro, F., Redelico, F. O., Risk, M. R., Frery, A. C., & Rosso, O. A., Bandt-Pompe symbolization dynamics for time series with tied values: A data-driven approach. Chaos: An Interdisciplinary Journal of Nonlinear Science , 28(7), 075502 (2018).

Zunino, L., Soriano, M. C., Rosso, O. A., Distinguishing chaotic and stochastic dynamics from time series by using a multiscale symbolic approach. Physical Review E, 86(4), 046210 (2012).


  • There are currently no refbacks.