Mixing Bandt-Pompe and Lempel-Ziv approaches : another way to analyze the complexity of continuous-state sequences
Artículo finalmente publicado en. Zozor, S., Mateos, D. & Lamberti, P.W. Mixing Bandt-Pompe and Lempel-Ziv approaches: another way to analyze the complexity of continuous-state sequences. Eur. Phys. J. B 87, 107 (2014).
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| Format: | acceptedVersion |
| Language: | eng |
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2022
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| Online Access: | http://hdl.handle.net/11086/30023 |
| _version_ | 1801213765632393216 |
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| author | Zozor, Steeve Mateos, Diego M. Lamberti, Pedro W. |
| author_facet | Zozor, Steeve Mateos, Diego M. Lamberti, Pedro W. |
| author_sort | Zozor, Steeve |
| collection | Repositorio Digital Universitario |
| description | Artículo finalmente publicado en. Zozor, S., Mateos, D. & Lamberti, P.W. Mixing Bandt-Pompe and Lempel-Ziv approaches: another way to analyze the complexity of continuous-state sequences. Eur. Phys. J. B 87, 107 (2014). |
| format | acceptedVersion |
| id | rdu-unc.30023 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.300232022-12-16T05:05:52Z Mixing Bandt-Pompe and Lempel-Ziv approaches : another way to analyze the complexity of continuous-state sequences Zozor, Steeve Mateos, Diego M. Lamberti, Pedro W. Lempel–Ziv permutation complexity Permutation vectors Continuous-state data analysis Nonlinear physics Artículo finalmente publicado en. Zozor, S., Mateos, D. & Lamberti, P.W. Mixing Bandt-Pompe and Lempel-Ziv approaches: another way to analyze the complexity of continuous-state sequences. Eur. Phys. J. B 87, 107 (2014). acceptedVersion Fil: Mateos, Diego. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Lamberti, Pedro W. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Lamberti, Pedro W. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Mateos, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Zozor, Steeve. Université de Grenoble. Laboratoire Grenoblois d’Image, Parole, Signal et Automatique; France Fil: Zozor, Steeve. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física de La Plata; Argentina Fil: Zozor, Steeve. Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina In this paper, we propose to mix the approach underlying Bandt-Pompe permutation entropy with Lempel-Ziv complexity, to design what we call Lempel-Ziv permutation complexity. The principle consists of two steps: (i) transformation of a continuous-state series that is intrinsically multivariate or arises from embedding into a sequence of permutation vectors, where the components are the positions of the components of the initial vector when re-arranged; (ii) performing the Lempel-Ziv complexity for this series of ‘symbols’, as part of a discrete finite-size alphabet. On the one hand, the permutation entropy of Bandt-Pompe aims at the study of the entropy of such a sequence; i.e., the entropy of patterns in a sequence (e.g., local increases or decreases). On the other hand, the Lempel-Ziv complexity of a discrete- state sequence aims at the study of the temporal organization of the symbols (i.e., the rate of compressibility of the sequence). Thus, the Lempel-Ziv permutation complexity aims to take advantage of both of these methods. The potential from such a combined approach – of a permutation procedure and a complexity analysis – is evaluated through the illustration of some simulated data and some real data. In both cases, we compare the individual approaches and the combined approach. acceptedVersion Fil: Mateos, Diego. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Lamberti, Pedro W. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Lamberti, Pedro W. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Mateos, Diego. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Zozor, Steeve. Université de Grenoble. Laboratoire Grenoblois d’Image, Parole, Signal et Automatique; France Fil: Zozor, Steeve. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física de La Plata; Argentina Fil: Zozor, Steeve. Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina Física de los Materiales Condensados 2022-12-15T20:26:24Z 2022-12-15T20:26:24Z 2014 article http://hdl.handle.net/11086/30023 eng De la versión publicada: http://dx.doi.org/10.1140/epjb/e2014-41018-5 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Impreso; Electrónico y/o Digital e-ISSN 1434-6036 |
| spellingShingle | Lempel–Ziv permutation complexity Permutation vectors Continuous-state data analysis Nonlinear physics Zozor, Steeve Mateos, Diego M. Lamberti, Pedro W. Mixing Bandt-Pompe and Lempel-Ziv approaches : another way to analyze the complexity of continuous-state sequences |
| title | Mixing Bandt-Pompe and Lempel-Ziv approaches : another way to analyze the complexity of continuous-state sequences |
| title_full | Mixing Bandt-Pompe and Lempel-Ziv approaches : another way to analyze the complexity of continuous-state sequences |
| title_fullStr | Mixing Bandt-Pompe and Lempel-Ziv approaches : another way to analyze the complexity of continuous-state sequences |
| title_full_unstemmed | Mixing Bandt-Pompe and Lempel-Ziv approaches : another way to analyze the complexity of continuous-state sequences |
| title_short | Mixing Bandt-Pompe and Lempel-Ziv approaches : another way to analyze the complexity of continuous-state sequences |
| title_sort | mixing bandt pompe and lempel ziv approaches another way to analyze the complexity of continuous state sequences |
| topic | Lempel–Ziv permutation complexity Permutation vectors Continuous-state data analysis Nonlinear physics |
| url | http://hdl.handle.net/11086/30023 |
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