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Permutation entropy measures the complexity of deterministic time series via a data symbolic quantization consisting of rank vectors called ordinal patterns or just permutations. The reasons for the increasing popularity of this entropy in…

数据分析、统计与概率 · 物理学 2021-03-08 José M. Amigó , Roberto Dale , Piergiulio Tempesta

Numerical and experimental turbulence simulations are nowadays reaching the size of the so-called big data, thus requiring refined investigative tools for appropriate statistical analyses and data mining. We present a new approach based on…

流体动力学 · 物理学 2017-01-05 Stefania Scarsoglio , Giovanni Iacobello , Luca Ridolfi

Tourism destinations behave as dynamic evolving complex systems, encompassing numerous factors and activities which are interdependent and whose relationships might be highly nonlinear. Traditional research in this field has looked after a…

物理与社会 · 物理学 2007-05-23 Rodolfo Baggio

We consider a system of weak* closed sets of finite-dimensional distributions. We show that a corresponding system of random variables can be defined on a probability space with a probability measure determined up to some set of measures,…

概率论 · 数学 2016-11-02 Victor Ivanenko , Illia Pasichnichenko

At present, there is a great deal of confusion regarding complexity and its measures (reviews on complexity measures are found in, e.g. Lloyd, 2001 and Shalizi, 2006 and more references therein). Moreover, there is also confusion regarding…

生物物理 · 物理学 2012-05-01 Attila Grandpierre

Measurement in biological systems became a subject of concern as a consequence of numerous reports on limited reproducibility of experimental results. To reveal origins of this inconsistency, we have examined general features of biological…

其他定量生物学 · 定量生物学 2017-04-03 Dalibor Štys , Jan Urban , Renata Rychtáriková , Anna Zhyrova , Petr Císař

A powerful time series analysis modeling technique is presented to describe cycle-to-cycle variability in memristors. These devices show variability linked to the inherent stochasticity of device operation and it needs to be accurately…

介观与纳米尺度物理 · 物理学 2024-02-08 Francisco J. Alonso , David Maldonado , Ana M. Aguilera , Juan B. Roldán

Complex high-dimensional co-occurrence data are increasingly popular from a complex system of interacting physical, biological and social processes in discretely indexed modifiable areal units or continuously indexed locations of a study…

机器学习 · 统计学 2022-10-19 Jian-Yong Wang , Han Yu

Hydroclimatic time series analysis focuses on a few feature types (e.g., autocorrelations, trends, extremes), which describe a small portion of the entire information content of the observations. Aiming to exploit a larger part of the…

Introduced the quantitative measure of the structural complexity of the graph (complex network, etc.) based on a procedure similar to the renormalization process, considering the difference between actual and averaged graph structures on…

物理与社会 · 物理学 2024-06-05 A. A. Snarskii

Complex systems have been widely studied by social and natural scientists in terms of their dynamics and their structure. Scholars of cities and urban planning have incorporated complexity theories from qualitative and quantitative…

物理与社会 · 物理学 2017-08-03 Geoff Boeing

We define a measure for the complexity of Boolean functions related to their implementation in neural networks, and in particular close related to the generalization ability that could be obtained through the learning process. The measure…

无序系统与神经网络 · 物理学 2007-05-23 Leonardo Franco

Recently there has been an increase in the studies on time-series data mining specifically time-series clustering due to the vast existence of time-series in various domains. The large volume of data in the form of time-series makes it…

机器学习 · 计算机科学 2019-12-06 Hossein Kamalzadeh , Abbas Ahmadi , Saeed Mansour

This paper provides the analysis for structural and functional approaches of complex network systems research. In order to study the behavior of these systems the flow adjacency matrices were introduced, and local and global dynamic…

物理与社会 · 物理学 2018-07-18 Olexandr Polishchuk

Given the importance of urban sustainability and resilience to the future of our planet, there is a need to better understand the interconnectedness between the social, economic, environmental, and governance outcomes that underline these…

物理与社会 · 物理学 2019-04-15 Anand Sahasranaman , Henrik Jeldtoft Jensen

A new model-free screening method called the fused Kolmogorov filter is proposed for high-dimensional data analysis. This new method is fully nonparametric and can work with many types of covariates and response variables, including…

统计方法学 · 统计学 2015-07-31 Qing Mai , Hui Zou

In this thesis, we explore the use of complex systems to study learning and adaptation in natural and artificial systems. The goal is to develop autonomous systems that can learn without supervision, develop on their own, and become…

神经与进化计算 · 计算机科学 2023-07-21 Hugo Cisneros

We investigate the role of a statistical complexity measure to assign equilibration in isolated quantum systems. While unitary dynamics preserve global purity, expectation values of observables often exhibit equilibration-like behavior,…

量子物理 · 物理学 2025-08-14 Marcos G. Alpino , Tiago Debarba , Reinaldo O. Vianna , André T. Cesário

A new method for the determination of electric signal time-shifts is introduced. As the Kolmogorov-Smirnov test, it is based on the comparison of the cumulative distribution functions of the reference signal with the test signal. This…

数据分析、统计与概率 · 物理学 2009-08-25 P. Desesquelles , T. M. H. Ha , A. Korichi , F. Le Blanc , C. M. Petrache

Multilayer networks preserve full information about the different interactions among the constituents of a complex system, and have recently proven quite useful in modelling transportation networks, social circles, and the human brain. A…

物理与社会 · 物理学 2020-06-29 Andrea Santoro , Vincenzo Nicosia