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statistical complexity without explicit reference to underlying probabilities

PHYSICA A-statistical MECHANICS AND ITS APPLICATIONS 2018年 500卷 121-130页

作者： Pennini, F. Plastino, A. Univ Catolica Norte Dept Fis Av Angamos 0610 Antofagasta Chile Univ Nacl La Pampa Fac Ciencias Exactas & Nat Dept Fis CONICET Av Peru 151 RA-6300 Santa Rosa La Pampa Argentina Univ Nacl La Plata Inst Fis La Plata CCT CONICET CC 727 RA-1900 La Plata Buenos Aires Argentina SThAR EPFL Lausanne Switzerland

We show that extremely simple systems of a not too large number of particles can be simultaneously thermally stable and complex. To such an end, we extend the statistical complexity's notion to simple configurations of non-interacting particles, without appeal to probabilities, and discuss configurational properties. (C) 2018 Elsevier B.V. All rights reserved.

关键词： Disequilibrium without probabilities statistical complexity Disequilibrium

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statistical complexity and classical-quantum frontier

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PHYSICA A-statistical MECHANICS AND ITS APPLICATIONS 2018年 511卷 18-26页

作者： Branada, R. Pennini, F. Plastino, A. Univ Catolica Norte Dept Fis Av Angamos 0610 Antofagasta Chile Univ Nacl La Pampa Fac Ciencias Exactas & Nat Dept Fis CONICET Av Peru 151 RA-6300 Santa Rosa La Pampa Argentina Univ Nacl La Plata CONICET CCT Inst Fis La Plata CC 727 RA-1900 La Plata Argentina Ecole Polytech Fed Lausanne SThAR Lausanne Switzerland

The classical limit of quantum mechanics (CLQM) is a fascinating subject of perennial interest. Here we deal with it in a novel way for two of the simplest conceivable systems: the classical ideal gas (IG) and the Einstein crystal (EC). Even if at first sight one may not believe that something new could be said about them, it will be seen that some statistical quantifiers do. In particular, the statistical complexity C, seems to signal the CLQM's zone. The associated two C-maxima (versus temperature), for, respectively, the IG and the CG, almost coincide. (C) 2018 Published by Elsevier B.V.

关键词： Disequilibrium statistical complexity Classical limit

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Comments on "statistical complexity and Fisher-Shannon information measure of H₂⁺" [Phys. Lett. A 372 (13) (2008) 2271-2273]

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PHYSICS LETTERS A 2017年第31期381卷 2554-2556页

作者： Astashkevich, Sergey A. St Petersburg State Univ St Petersburg 198504 Russia

We point out and correct the erroneous numerical results calculated by H.E. Montgomery Jr. and K.D. Sen concerning the statistical complexity and the Fisher-Shannon information measure for the ground state H-2(+) molecule ion as a function of internuclear distance in momentum space and as a product in position and momentum spaces. In addition we have shown that Coulson-type wave function approximation used by authors leads to notable (up to almost 20%) discrepancies between such approximated results and exact ones. (C) 2017 Elsevier B.V. All rights reserved.

关键词： Shannon entropy Fisher information statistical complexity Molecular bonding

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statistical complexity, virial expansion, and van der Waals equation

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PHYSICA A-statistical MECHANICS AND ITS APPLICATIONS 2016年 458卷 239-247页

作者： Pennini, F. Plastino, A. Univ Catolica Norte Dept Fis Av Angamos 0610 Antofagasta Chile Univ Nacl La Pampa Fac Ciencias Exactas & Nat Dept Fis Av Peru 151 RA-6300 Santa Rosa La Pampa Argentina Univ Nacl La Plata Inst Fis La Plata CCT CONICET CC 727 RA-1900 La Plata Buenos Aires Argentina SThAR EPFL Lausanne Switzerland

We investigate the notion of LMC statistical complexity with regards to a real gas and in terms of the second virial coefficient. The ensuing results are applied to the van der Waals equation. Interestingly enough, one finds a complexity-interpretation for the associated phase transition. (C) 2016 Elsevier B.V. All rights reserved.

关键词： statistical complexity Real gas Second virial coefficient

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Permutation entropy and statistical complexity in characterising low-aspectratio reversed-field pinch plasma

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PHYSICA SCRIPTA 2017年第5期92卷 055601-055601页

作者： Onchi, T. Fujisawa, A. Sanpei, A. Himura, H. Masamune, S. Kyushu Univ RIAM Kasuga Fukuoka 8168580 Japan Kyoto Inst Techonl Dept Elect Kyoto 6068585 Japan

Permutation entropy and statistical complexity are measures for complex time series. The BandtPompe methodology evaluates probability distribution using permutation. The method is robust and effective to quantify information of time series data. statistical complexity is the product of Jensen-Shannon divergence and permutation entropy. These physical parameters are introduced to analyse time series of emission and magnetic fluctuations in low-aspect-ratio reversed-field pinch (RFP) plasma. The observed time-series data aggregates in a region of the plane, the socalled C-H plane, determined by entropy versus complexity. The C-H plane is a representation space used for distinguishing periodic, chaos, stochastic and noisy processes of time series data. The characteristics of the emissions and magnetic fluctuation change under different RFP-plasma conditions. The statistical complexities of soft x-ray emissions and magnetic fluctuations depend on the relationships between reversal and pinch parameters.

关键词： permutation entropy statistical complexity reversed field pinch

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Investigating anthropically induced effects in streamflow dynamics by using permutation entropy and statistical complexity analysis: A case study

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JOURNAL OF HYDROLOGY 2016年第0期540卷 1136-1145页

作者： Stosic, Tatijana Telesca, Luciano de Souza Ferreira, Diego Vicente Stosic, Borko Univ Fed Rural Pernambuco Dept Estat & Informat Rua Dom Manoel Medeiros S-N BR-52171900 Recife PE Brazil CNR Inst Methodol Environm Anal I-85050 Tito Italy

In this paper we investigated the influence of the construction of Sobradinho dam on daily streamflow of Sao Francisco river, Brazil, using permutation entropy method. We analyzed a long daily streamflow time series recorded during the period 1929-2010 encompassing the construction of Sobradinho dam between 1973 and 1979. We found that the original and deseasonalized streamflow time series are characterized by clear different complexity and entropy patterns before the construction of the dam;while, after it, their degree of randomness and complexity are nearly identical. Furthermore, investigating the oscillatory behavior of the entropy and complexity time variation, the periodicity of 3.67 years was identified, identical to one of the main periodicities revealed in the Multivariate ENSO Index (MEI). Such finding confirms the close relationship between streamflow dynamics and ENSO phenomenon. After the construction of the dam, the time variation of entropy and complexity changes almost abruptly toward stochastic regime characterized by higher entropy and lower complexity. Although the dam operations could be considered responsible for such abrupt dynamical change in the streamflow, we cannot exclude the presence of a co-induced ENSO effect;in fact, the analysis of MEI shows a strikingly similar and concomitant change in the long-term trend, identified by using the singular spectrum analysis. (C) 2016 Elsevier B.V. All rights reserved.

关键词： Streamflow Dam Permutation entropy statistical complexity

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Monotone measures of statistical complexity

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PHYSICS LETTERS A 2016年第3期380卷 377-380页

作者： Rudnicki, Lukasz Toranzo, Irene V. Sanchez-Moreno, Pablo Dehesa, Jesus S. Univ Freiburg Inst Phys D-79104 Freiburg Germany Polish Acad Sci Ctr Theoret Phys PL-02668 Warsaw Poland Univ Granada Inst Carlos Fis Teor & Computac 1 E-18071 Granada Spain Univ Granada Dept Fis Atom Mol & Nucl E-18071 Granada Spain Univ Granada Dept Matemat Aplicada E-18071 Granada Spain

We introduce and discuss the notion of monotonicity for the complexity measures of general probability distributions, patterned after the resource theory of quantum entanglement. Then, we explore whether this property is satisfied by the three main intrinsic measures of complexity (Cramer-Rao, Fisher-Shannon, LMC) and some of their generalizations. (C) 2015 Elsevier B.V. All rights reserved.

关键词： statistical complexity Fisher information Shannon entropy Cramer-Rao complexity Fisher-Shannon complexity LMC complexity

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Permutation Min-Entropy and statistical complexity Analysis of Electricity Spot Price

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FLUCTUATION AND NOISE LETTERS 2015年第4期14卷 1550040-1550040页

作者： Fan, Qingju Li, Dan Wuhan Univ Technol Sch Sci Dept Stat Wuhan 430070 Peoples R China

In this study, we investigate the subtle temporal dynamics of California 1999-2000 spot price series based on permutation min-entropy (PME) and complexity-entropy causality plane. The dynamical transitions of price series are captured and the temporal correlations of price series are also discriminated by the recently introduced PME. Moreover, utilizing the CECP, we provide a refined classification of the monthly price dynamics and obtain an insight into the stochastic nature of price series. The results uncover that the spot price signal presents diverse temporal correlations and exhibits a higher stochastic behavior during the periods of crisis.

关键词： Permutation min-entropy complexity-entropy causality plane statistical complexity Bandt and Pompe method spot price

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Unsupervised edge map scoring: A statistical complexity approach

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COMPUTER VISION AND IMAGE UNDERSTANDING 2014年 122卷 131-142页

作者： Gimenez, Javier Martinez, Jorge Flesia, Ana Georgina Univ Nacl Cordoba Fac Matemat Astron & Fis RA-5000 Cordoba CR Argentina Univ Nacl Sur Dept Matemat RA-8000 Bahia Blanca Buenos Aires Argentina

We propose a new statistical complexity Measure (SCM) to qualify edge maps without Ground (GT) knowledge. The measure is the product of two indices, an Equilibrium index E obtained by the edge map into a family of edge patterns, and an Entropy index H, defined as a function Kolmogorov-Smirnov (KS) statistic. This new measure can be used for performance characterization which includes: (i) the evaluation of an algorithm (intra-technique process) in order to identify its best parameters the comparison of different algorithms (inter-technique process) in order to classify them their quality. Results made over images of the South Florida and Berkeley databases show that our approach icantly improves over Pratt's Figure of Merit (PFoM) which is the objective reference-based edge evaluation standard, as it takes into account more features in its evaluation. (C) 2014 Elsevier Inc. All rights

关键词： Unsupervised quality measure Edge maps statistical complexity Edge patterns Entropy Kolmogorov-Smirnov statistic

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Analytical Representation of complexity Diagrams

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PROBLEMS OF INFORMATION TRANSMISSION 2025年第1期61卷 27-40页

作者： Babikov, V. G. Galyaev, A. A. Russian Acad Sci Trapeznikov Inst Control Sci Moscow Russia

We propose an analytical representation of complexity diagrams based on information about the number of discretes in the signal spectrum and the signal-to-noise ratio. This approach provides additional criteria for solving the classification problem. We formulate and prove lemmas on the construction of analytical metric grids for complexity diagrams. The obtained results are verified by numerical experiments, which have confirmed the efficiency of these methods.

关键词： information entropy discrete Fourier transform periodogram imbalance statistical complexity spectral complexity metric grids

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