Article
Mathematics, Interdisciplinary Applications
Javier E. Contreras-Reyes, Omid Kharazmi
Summary: This paper introduces the belief Fisher-Shannon (BFS) information plane based on basic probability assignment concept, and presents upper and lower bounds of BFS information. It extends the BFS information plane to belief Fisher-Renyi and fractional belief Fisher-Shannon ones, based on Generalized Renyi and fractional Deng entropies, respectively. The study demonstrates the efficiency of the proposed information planes compared to parametric and non-parametric methods, such as the one based on kernel density function, through simulation studies and applications.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Antonio Samuel Alves Silva, Romulo Simoes Cezar Menezes, Osvaldo A. Rosso, Borko Stosic, Tatijana Stosic
Summary: This study analyzed the predictability and complexity of monthly rainfall temporal series in Pernambuco state, northeastern Brazil using complexity entropy causality plane and Fisher Shannon plane. By comparing the positions in these planes, different rainfall regimes in inland, intermediate, and coastal regions were distinguished. Time dependent analysis identified periods of higher entropy related to El Nino episodes and historical droughts in the Sertao region.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Mathematics, Interdisciplinary Applications
Luciano Telesca, Nicodemo Abate, Farid Faridani, Michele Lovallo, Rosa Lasaponara
Summary: Xylella fastidiosa is a phytobacterium that causes severe diseases in various species. Its infection on olive trees leads to the olive quick decline syndrome, resulting in rapid tree desiccation and death. This study analyzes MODIS satellite evapotranspiration data using the Fisher-Shannon method and the multifractal detrended fluctuation analysis to detect the presence of Xylella fastidiosa. The results indicate that these methods can effectively differentiate between infected and healthy sites, with the maximum of the multifractal spectrum performing the best. These findings suggest the potential use of these methods for early detection of plant diseases.
FRACTAL AND FRACTIONAL
(2023)
Article
Physics, Multidisciplinary
Ata Assaf, Mehmet Huseyin Bilgin, Ender Demir
Summary: This paper quantifies information flows between Bitcoin, Ethereum, and Ripple using transfer entropy and Renyi transfer entropy, finding bidirectional information transmission between Bitcoin and Ripple, and only one directional transmission from Ripple to Ethereum. There is no nonlinear information transmission, indicating linear dependency among the three cryptocurrencies. Information transmission mostly occurs before the cryptocurrency crash, and a significant flow is observed from Bitcoin to Ripple.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Geosciences, Multidisciplinary
Simona Tripaldi, Michele Lovallo, Marilena Filippucci, Luciano Telesca
Summary: In this study, the time dynamics of GPS time series recorded at the Campi Flegrei caldera from 2000 to 2019 were investigated using the Fisher Information Measure (FIM) and the Shannon entropy power (SEP). The SEP was found to discriminate vertical displacement time series well, while the FIM was better at discriminating horizontal displacement time series. The most significant change in SEP was found in 2012, and locally, the occurrence of seismic swarms correlated with a sudden loss of order indicated by low values of FIM. Furthermore, a complexity measure, C, which is the product of SEP and FIM, was found to be sensitive to the increase in baseline deformation level and the small-amplitude modulation of deformation signals within the caldera.
JOURNAL OF VOLCANOLOGY AND GEOTHERMAL RESEARCH
(2023)
Article
Mathematics
Lin Feng Wang
Summary: In this paper, the authors establish the heat kernel estimate for a connected locally finite graph G with the CD psi condition. They also derive a logarithmic inequality of the heat kernel by studying its short time behavior. Additionally, they define and establish monotone inequalities for the Fisher information, Shannon entropy, and W-functional along the heat equation on G.
JOURNAL OF GEOMETRIC ANALYSIS
(2023)
Article
Engineering, Mechanical
Jiayi He, Jinzhao Liu, Pengjian Shang, Yali Zhang
Summary: Dynamic Shannon entropy (DySEn) is introduced as a novel method to detect abnormal changes in signals, combining traditional statistical characteristics with dynamic characteristics to effectively address issues like insensitivity to local disorder in Shannon entropy and poor performance of PDE with chaotic sequences. Experimental results support DySEn's ability to detect anomalies in periodic, complex, and mixed signals, as well as its success in locating abnormal areas such as rail corrugations by highlighting significant increases in periodicity.
NONLINEAR DYNAMICS
(2021)
Article
Physics, Multidisciplinary
Omid Kharazmi, Narayanaswamy Balakrishnan
Summary: In this work, the discrete version of Fisher information measure and Jensen-Fisher information are discussed, along with Fisher information and Bayes-Fisher information measures for the mixing parameter vector of a finite mixture probability mass function. Connections between these measures and other informational measures such as chi-square divergence, Shannon entropy, Kullback-Leibler, Jeffreys, and Jensen-Shannon divergences are provided.
Article
Physics, Multidisciplinary
Jose Crispin Zavala-Diaz, Joaquin Perez-Ortega, Nelva Nely Almanza-Ortega, Rodolfo Pazos-Rangel, Jose Maria Rodriguez-Lelis
Summary: This paper investigates the prediction of financial time series and proposes considering the influence of other financial series through entropy transfer. The empirical analysis shows that the American S&P 500 and Nasdaq series transfer the most information.
Article
Chemistry, Physical
Ifeanyi J. Njoku, Emeka Onyeocha, Chibueze P. Onyenegecha, Modestus Onuoha, Eugene K. Egeonu, Placid Nwaokafor
Summary: This paper focuses on the quantum information measures and complexity of the modified Mobius squared plus Eckart potential. The energy eigenvalues and wave function of the system are obtained through the approximate solutions of the Schrodinger equation. Various measures, such as Shannon entropy, Onicescu information energy, and Fisher information, are examined for the system. Additionally, several inequalities and principles, such as the Bialynicki-Birula and Mycielski inequality, Heisenberg uncertainty principle, and Fisher information sum inequality, are verified. The results demonstrate the shifts in probability density peak and the existence of squeezed states.
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY
(2023)
Article
Engineering, Mechanical
Javier E. Contreras-Reyes
Summary: This paper presents a method for analyzing nonlinear interactions using mutual information matrix (MIM) analysis, extending from discrete to continuous approach, specifically focusing on multivariate skew-elliptical families of distributions. The proposed methodology is illustrated by numerical results from sinusoidal and vector autoregressive fractionally integrated moving-average models, showing more robust estimators for determining the mutual information index of multivariate time series.
NONLINEAR DYNAMICS
(2021)
Article
Physics, Multidisciplinary
E. P. Inyang, E. Omugbe, M. Abu-Shady, E. S. William
Summary: In this study, the modified Kratzer potential and Yukawa potential were used to solve the Schrodinger equation, and the Nikiforov-Uvarov method was employed to determine the energy equation and total normalized wave function. The Shannon entropy, Fisher information, and expectation values were analyzed for the low-lying states. It was found that the inequalities for Shannon entropy and Fisher information were satisfied, and the Heisenberg uncertainty relation was validated through numerical calculations.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Computer Science, Information Systems
Hui Zhang, Yong Deng
Summary: This paper presents a new method based on Deng entropy to measure the uncertainty of orderable sets, and demonstrates the efficiency and accuracy of the method through numerical examples.
INFORMATION SCIENCES
(2021)
Article
Materials Science, Multidisciplinary
Kirtee Kumar, Vinod Prasad
Summary: Various information theoretic measures and complexities for hydrogen atom under modified Hulthen potential, with spherical confinement considered, were studied. The effects of the inverse square potential parameter on Shannon entropy and Fisher information in both confined and free regions of the atom were investigated. Additionally, the Bialynicki-Birula-Mycielski (BBM) inequality was verified for the confined system.
RESULTS IN PHYSICS
(2021)
Article
Mathematics, Applied
Omid Kharazmi, Javier E. Contreras-Reyes, Narayanaswamy Balakrishnan
Summary: This article discusses the study of information sources from positive and negative aspects, and introduces the negation as a new perspective to quantify information or knowledge in a given system. The article presents new information measures and shows their relationships and representations. Finally, the proposed information measures are illustrated with numerical results in a real example.
PHYSICA D-NONLINEAR PHENOMENA
(2023)
Article
Environmental Sciences
Nicola Masini, Rosa Lasaponara
REMOTE SENSING OF ENVIRONMENT
(2020)
Article
Environmental Sciences
Nabil Bachagha, Xinyuan Wang, Lei Luo, Li Li, Houcine Khatteli, Rosa Lasaponara
REMOTE SENSING OF ENVIRONMENT
(2020)
Article
Green & Sustainable Science & Technology
Abdelaziz Elfadaly, Ayaat Shams Eldein, Rosa Lasaponara
Article
Mathematics, Applied
Jennifer Perez-Oregon, Michele Lovallo, Luciano Telesca
Article
Mathematics, Applied
Luciano Telesca, Zbigniew Czechowski
Article
Meteorology & Atmospheric Sciences
Antonio Samuel Alves da Silva, Romulo Simoes Cezar Menezes, Luciano Telesca, Borko Stosic, Tatijana Stosic
Summary: The study applied the Fisher-Shannon method to analyze the Standardized Precipitation Index (SPI) in Northeast Brazil and found that short-term dry/wet conditions display higher organization in inland areas, while long-term conditions show higher disorder in coastal regions.
INTERNATIONAL JOURNAL OF CLIMATOLOGY
(2021)
Article
Environmental Sciences
Giuseppe Mazzeo, Fortunato De Santis, Alfredo Falconieri, Carolina Filizzola, Teodosio Lacava, Antonio Lanorte, Francesco Marchese, Gabriele Nole, Nicola Pergola, Carla Pietrapertosa, Valeria Satriano
Summary: Satellite systems have been proven to be relevant in detecting, monitoring, and characterizing fire events for fire management activities. However, only a few satellite-based platforms currently provide immediate and easily usable information about ongoing events, such as active fires and danger conditions in the affected area. This study presents an Integrated Satellite System (ISS) that utilizes satellite techniques and a Fire Danger Dynamic Index (FDDI) to provide near real-time integrated information about fire presence and danger. The results demonstrate that the ISS system can contribute significantly to fire prioritization and help mitigate the impact of fires on populated areas, infrastructure, and the environment.
Article
Chemistry, Multidisciplinary
Luciano Telesca, Anh Tuan Thai, Michele Lovallo, Dinh Trong Cao, Le Minh Nguyen
Summary: The study investigates the reservoir-triggered seismicity at the Song Tranh 2 reservoir in Vietnam using Shannon entropy. It reveals clear links between the temporal fluctuations of the water level and the time-varying Shannon entropy of the seismicity interevent times. This supports the belief that the reservoir operational regime is a source of the seismicity. Additionally, Shannon entropy sheds light on the tectonic mechanisms behind the reservoir-triggered seismicity, showing that stress changes due to water level variation lead to greater disorder and instability, resulting in increased seismic activity.
APPLIED SCIENCES-BASEL
(2022)
Article
Physics, Multidisciplinary
Luciano Telesca, Anh Tuan Thai, Michele Lovallo, Dinh Trong Cao
Summary: This study performs a visibility graph analysis of seismicity triggered by the Song Tranh 2 hydropower plant in Vietnam, and analyzes the relationship between seismic (Gutenberg-Richter b-value) and topological (k-M slope) parameters of seismicity. The findings indicate that the relationship between the b-value and k-M slope of the investigated seismicity is consistent with that characterizing tectonic seismicity.
Article
Physics, Multidisciplinary
Luciano Telesca, Angelo Aromando, Farid Faridani, Michele Lovallo, Gianfranco Cardettini, Nicodemo Abate, Giancarlo Papitto, Rosa Lasaponara
Summary: The study aimed to evaluate the potential of the Fisher-Shannon statistical method applied to the MODIS satellite time series for detecting small multiyear trends and changes in vegetation cover. Analysis of three peri-urban parks near Rome and Naples revealed that Castel Volturno exhibited the highest Shannon entropy and lowest Fisher Information Measure, indicating a low level of order and organization in the vegetation time series. Comparison with in situ analyzed and independent data sets confirmed the existence of subtle, small multiyear trends and changes in MODIS-based vegetation indices.
Article
Physics, Multidisciplinary
Rui Ba, Michele Lovallo, Weiguo Song, Hui Zhang, Luciano Telesca
Summary: This study investigates the recovery process of vegetation after the Camp Fire in California in 2018 by analyzing the time series of MODIS Aqua and Terra Normalized Difference Vegetation Index (NDVI) and Enhanced Vegetation Index (EVI) using multifractal detrended fluctuation analysis. The results indicate that the vegetation index time series exhibit six- and twelve-month periodicities, with longer periods being more pronounced in areas affected by two fires. The fires also lead to increased persistence and complexity of the NDVI and EVI time series, suggesting the presence of positive feedback mechanisms in the recovery process.
Review
Geosciences, Multidisciplinary
Marianna Balasco, Vincenzo Lapenna, Enzo Rizzo, Luciano Telesca
Summary: Electrical Resistivity Tomography (ERT) is a well-established method in near-surface geophysics, but deep ERT (DERT) mapping of subsurface resistivity patterns beyond 1 km depth is limited. This review aims to define DERT method clearly and identify a depth threshold for investigation. Methodological and technological aspects are addressed, with future research directions focusing on machine learning for improved data processing and interpretation.
Article
Physics, Multidisciplinary
Davide Zaccagnino, Luciano Telesca, Onur Tan, Carlo Doglioni
Summary: By clustering analysis of Turkish seismicity, it is found that statistical properties of seismic activity are related to the regional seismogenic potential. The clustering properties of seismic activity can be considered as a possible additional information source for the assessment of seismic hazard.
Article
Mathematics, Interdisciplinary Applications
Luciano Telesca, Nicodemo Abate, Farid Faridani, Michele Lovallo, Rosa Lasaponara
Summary: Xylella fastidiosa is a phytobacterium that causes severe diseases in various species. Its infection on olive trees leads to the olive quick decline syndrome, resulting in rapid tree desiccation and death. This study analyzes MODIS satellite evapotranspiration data using the Fisher-Shannon method and the multifractal detrended fluctuation analysis to detect the presence of Xylella fastidiosa. The results indicate that these methods can effectively differentiate between infected and healthy sites, with the maximum of the multifractal spectrum performing the best. These findings suggest the potential use of these methods for early detection of plant diseases.
FRACTAL AND FRACTIONAL
(2023)
Proceedings Paper
Computer Science, Interdisciplinary Applications
Valentina Santarsiero, Gabriele Nole, Antonio Lanorte, Biagio Tucci, Lucia Saganeit, Angela Pilogallo, Francesco Scorza, Beniamino Murgante
COMPUTATIONAL SCIENCE AND ITS APPLICATIONS, ICCSA 2020, PART IV
(2020)
