Wavelet-Based Entropy Measures to Characterize Two-Dimensional Fractional Brownian Fields

Nicolis, Orietta; Mateu, Jorge; Contreras-Reyes, Javier E.

doi:10.3390/e22020196

Cited by 14 publications

(7 citation statements)

References 42 publications

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“…The wavelet coherence seems to be a good candidate measure to quantify the change of behavior in the evolution of the pandemics. It could be expected in a further work a COVID-19 time series analysis using wavelet entropy in a two-dimensional context [18].…”

Section: Discussionmentioning

confidence: 97%

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Cuantificadores de información e impredictibilidad en las series temporales asociadas a la COVID-19

Vampa

Kowalski²,

Losada³

et al. 2023

RMTA

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Aplicamos diferentes cuantificadores de informacion al estudio de series temporales de COVID-19. En primer lugar, analizamos como el hecho de suavizar las curvas altera el contenido de informacion de la serie, aplicando la entropia de permutaciones y la entropia wavelet a la serie de casos diarios nuevos mediante un metodo de ventana movil. Ademas, para estudiar que tan acopladas estan las curvas asociadas con los nuevos casos diarios de infecciones y muertes, calculamos la coherencia wavelet. Nuestros resultados muestran como se pueden utilizar cuantificadores de información para analizar el comportamiento impredecible de esta pandemia en el corto y mediano plazo.

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Section: Discussionmentioning

confidence: 97%

“…Given a time series, the wavelet analysis performs a transformation that is sensitive to time and frequency. First, one fixes an orthogonal discrete wavelet basis [3,17,9,4,18]. By performing an adequate transformation, the time series is written as a linear combination in that basis.…”

Section: Wavelet Entropymentioning

confidence: 99%

Cuantificadores de información e impredictibilidad en las series temporales asociadas a la COVID-19

Vampa

Kowalski²,

Losada³

et al. 2023

RMTA

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show abstract

“…Shannon (Shannon 1948) bir bilgi kaynağı tarafından üretilen bilginin ne orada ve ne kadar olduğunu ölçen olarak tanımlamıştır. Entropi ise rastgele veri kaynakları tarafından üretilen bilginin ortalama hızı olarak tanımlanmaktadır (Nicolis et al 2020). Shannon entropisi, bilgi kaynaklarının belirsizliğini temsil etmek amacıyla ortaya çıkmış olsa da, diğer farklı alanlarda belirsizliği veya düzensizliği ölçmek için de kullanıldı (Shannon 1948).…”

Section: Introductionunclassified

Study of Wavelet Entropy Analysis of the Fermion-like Instanton Solutions

Canbaz

2022

Afyon Kocatepe University Journal of Sciences and Engineering

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Instantons are classical topological solutions, playing an important role in particle physics and cosmology. In this study, the periodicity of the orbits of the fermion-like instanton solutions in the two-dimensional Thirring model obtained with the Heisenberg ansatz is investigated. The trajectories of fermion-like instanton solutions are investigated by the Shannon wavelet entropy (WE) method. In addition, WE and WE spectrum in phase space are analyzed in order to have information about the characteristics of the trajectories of fermion-like instanton solutions. As a result of the study, it was seen that the fermion-like instanton solutions have regular trajectories around the stable point and irregular trajectories at other points. It was also compared with other known entropy methods (Renyi entropy and Tsallis entropy) and similar results were observed.

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“…Shannon entropy is a classical and effective method to measure the uncertainty of information [ 21 , 22 , 23 ]. Shannon entropy has been used in many fields such as interpreting the information in atomic states expressed for a Ni-like isoelectronic sequence [ 24 ], measuring the characteristics of two-dimensional fractional Brownian fields [ 25 ], and encrypting an image based on entropy analysis and a chaotic system [ 26 ]. After obtaining the two crowd attributes, i.e., the number of pedestrians and the distribution uniformity of a crowd, the mapping rules between crowd attributes and safety status can be established to evaluate the safety status of the crowd.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Evaluation of Crowd Safety Based on Pedestrians’ Number and Distribution Entropy

Zhang

Wang

2020

Entropy

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Crowd video monitoring and analysis is a hot topic in computer vision and public management. The pre-evaluation of crowd safety is beneficial to the prediction of crowd status to avoid the occurrence of catastrophic events. This paper proposes a method to evaluate crowd safety based on fuzzy inference. Pedestrian’s number and distribution uniformity are considered in a fuzzy inference system as two kinds of attributes of a crowd. Firstly, the pedestrian’s number is estimated by the number of foreground pixels. Then, the distribution uniformity of a crowd is calculated using distribution entropy by dividing the monitoring scene into several small areas. Furthermore, through the fuzzy operation, the fuzzy system is constructed by using two input variables (pedestrian’s number and distribution entropy) and one output variable (crowd safety status). Finally, inference rules between the crowd safety state and the pedestrian’s number and distribution uniformity are constructed to obtain the pre-evaluation of the safety state of the crowd. Three video sequences extracted from different scenes are used in the experiment. Experimental results show that the proposed method can be used to evaluate the safety status of the crowd in a monitoring scene.

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Wavelet-Based Entropy Measures to Characterize Two-Dimensional Fractional Brownian Fields

Cited by 14 publications

References 42 publications

Cuantificadores de información e impredictibilidad en las series temporales asociadas a la COVID-19

Cuantificadores de información e impredictibilidad en las series temporales asociadas a la COVID-19

Study of Wavelet Entropy Analysis of the Fermion-like Instanton Solutions

Fuzzy Evaluation of Crowd Safety Based on Pedestrians’ Number and Distribution Entropy

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