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56 Results Found

  • Article
  • Open Access
15 Citations
3,647 Views
14 Pages

Fractal dimension, as a common nonlinear dynamics metric, is extensively applied in biomedicine, fault diagnosis, underwater acoustics, etc. However, traditional fractal dimension can only analyze the complexity of the time series given a single chan...

  • Article
  • Open Access
5 Citations
4,691 Views
20 Pages

A Novel Multiband Spectrum Sensing Method Based on Wavelets and the Higuchi Fractal Dimension

  • Yanqueleth Molina-Tenorio,
  • Alfonso Prieto-Guerrero and
  • Rafael Aguilar-Gonzalez

16 March 2019

In this work, two novel methodologies for the multiband spectrum sensing in cognitive radios are implemented. Methods are based on the continuous wavelet transform (CWT) and the multiresolution analysis (MRA) to detect the edges of available holes in...

  • Case Report
  • Open Access
9 Citations
2,717 Views
11 Pages

A Climate-Mathematical Clustering of Rainfall Stations in the Río Bravo-San Juan Basin (Mexico) by Using the Higuchi Fractal Dimension and the Hurst Exponent

  • Francisco Gerardo Benavides-Bravo,
  • Dulce Martinez-Peon,
  • Ángela Gabriela Benavides-Ríos,
  • Otoniel Walle-García,
  • Roberto Soto-Villalobos and
  • Mario A. Aguirre-López

20 October 2021

When conducting an analysis of nature’s time series, such as meteorological ones, an important matter is a long-range dependence to quantify the global behavior of the series and connect it with other physical characteristics of the region of study....

  • Article
  • Open Access
96 Views
20 Pages

Brain electrical activity, as recorded through electroencephalography (EEG), displays scale-free temporal fluctuations indicative of fractal behavior and complex dynamics. This study explores the use of the Higuchi Fractal Dimension (HFD) as a proxy...

  • Article
  • Open Access
7 Citations
2,810 Views
31 Pages

4 September 2023

This study reports a fractal analysis of one-year radon in groundwater disturbances from five stations in China amidst the catastrophic Wenchuan (Mw = 7.9) earthquake of 12 May 2008 (day 133). Five techniques are used (DFA, fractal dimensions with Hi...

  • Article
  • Open Access
40 Citations
5,306 Views
17 Pages

Skin Lesion Classification Based on Surface Fractal Dimensions and Statistical Color Cluster Features Using an Ensemble of Machine Learning Techniques

  • Simona Moldovanu,
  • Felicia Anisoara Damian Michis,
  • Keka C. Biswas,
  • Anisia Culea-Florescu and
  • Luminita Moraru

20 October 2021

(1) Background: An approach for skin cancer recognition and classification by implementation of a novel combination of features and two classifiers, as an auxiliary diagnostic method, is proposed. (2) Methods: The predictions are made by k-nearest ne...

  • Article
  • Open Access
3 Citations
1,485 Views
10 Pages

9 August 2023

The fractal dimension of geomagnetic field component variations (horizontal—H, vertical—Z and magnetic declination—D) at the Baigazan magnetic station at Russian Altay, for the period 2011–2013, were calculated using the Higuc...

  • Article
  • Open Access
3 Citations
3,365 Views
12 Pages

Variation Trends of Fractal Dimension in Epileptic EEG Signals

  • Zhiwei Li,
  • Jun Li,
  • Yousheng Xia,
  • Pingfa Feng and
  • Feng Feng

29 October 2021

Epileptic diseases take EEG as an important basis for clinical judgment, and fractal algorithms were often used to analyze electroencephalography (EEG) signals. However, the variation trends of fractal dimension (D) were opposite in the literature, i...

  • Article
  • Open Access
31 Citations
6,059 Views
19 Pages

Fractal and Long-Memory Traces in PM10 Time Series in Athens, Greece

  • Dimitrios Nikolopoulos,
  • Konstantinos Moustris,
  • Ermioni Petraki,
  • Dionysios Koulougliotis and
  • Demetrios Cantzos

This work examines if chaos and long memory exist in PM10 concentrations recorded in Athens, Greece. The algorithms of Katz, Higuchi, and Sevcik were employed for the calculation of fractal dimensions and Rescaled Range (R/S) analysis for the calcula...

  • Article
  • Open Access
14 Citations
2,748 Views
14 Pages

Particularities of Forest Dynamics Using Higuchi Dimension. Parâng Mountains as a Case Study

  • Adrian Gabriel Simion,
  • Ion Andronache,
  • Helmut Ahammer,
  • Marian Marin,
  • Vlad Loghin,
  • Iulia Daniela Nedelcu,
  • Cristian Mihnea Popa,
  • Daniel Peptenatu and
  • Herbert Franz Jelinek

The legal or illegal losses and the natural disturbance regime of forest areas in Romania generate major imbalances in territorial systems. The main purpose of the current research was to examine the dynamics of the complexity of forests under the in...

  • Article
  • Open Access
1 Citations
2,053 Views
10 Pages

28 September 2022

Hydroclimatic change across China has received considerable attention due to its vital significance for regional ecosystem stability and economic development, yet the spatiotemporal dynamics of its nonlinear trends and complexity have not been fully...

  • Article
  • Open Access
1 Citations
1,341 Views
19 Pages

The Impact of the Natural Level of Blood Biochemicals on Electroencephalographic Markers in Healthy People

  • Laura Päeske,
  • Hiie Hinrikus,
  • Jaanus Lass,
  • Toomas Põld and
  • Maie Bachmann

21 November 2024

This study aims to investigate the association between the natural level of blood biomarkers and electroencephalographic (EEG) markers. Resting EEG theta, alpha (ABP), beta, and gamma frequency band powers were selected as linear EEG markers indicati...

  • Article
  • Open Access
3 Citations
1,880 Views
16 Pages

A Fractal Approach to Nonlinear Topographical Features of Healthy and Keratoconus Corneas Pre- and Post-Operation of Intracorneal Implants

  • Shima Bahramizadeh-Sajadi,
  • Hamid Reza Katoozian,
  • Mahtab Mehrabbeik,
  • Alireza Baradaran-Rafii,
  • Khosrow Jadidi and
  • Sajad Jafari

Fractal dimension (FD) together with advances in imaging technologies has provided an increasing application of digital images to interpret biological phenomena. In ophthalmology, topography-based images are increasingly used in common practices of c...

  • Article
  • Open Access
11 Citations
3,467 Views
24 Pages

Long-Lasting Patterns in 3 kHz Electromagnetic Time Series after the ML = 6.6 Earthquake of 2018-10-25 near Zakynthos, Greece

  • Dimitrios Nikolopoulos,
  • Ermioni Petraki,
  • Panayiotis H. Yannakopoulos,
  • Georgios Priniotakis,
  • Ioannis Voyiatzis and
  • Demetrios Cantzos

This paper reports one-month 3 kHz EM disturbances recorded at Kardamas, Ilia, Greece after a strong M L = 6.6 earthquake occurred on 2018/10/25 near Zakynthos and Ilia. During this period 17 earthquakes occurred with magnitudes M L =...

  • Case Report
  • Open Access
4 Citations
2,426 Views
9 Pages

Functional Source Separation-Identified Epileptic Network: Analysis Pipeline

  • Elzbieta Olejarczyk,
  • Filippo Zappasodi,
  • Lorenzo Ricci,
  • Annalisa Pascarella,
  • Giovanni Pellegrino,
  • Luca Paulon,
  • Giovanni Assenza and
  • Franca Tecchio

1 September 2022

This proof-of-concept (PoC) study presents a pipeline made by two blocks: 1. the identification of the network that generates interictal epileptic activity; and 2. the study of the time course of the electrical activity that it generates, called neur...

  • Article
  • Open Access
19 Citations
5,549 Views
29 Pages

14 August 2023

Accurate sleep stage detection is crucial for diagnosing sleep disorders and tailoring treatment plans. Polysomnography (PSG) is considered the gold standard for sleep assessment since it captures a diverse set of physiological signals. While various...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,815 Views
14 Pages

Dynamic Evolution of EEG Complexity in Schizophrenia Across Cognitive Tasks

  • Rosa Molina,
  • Yasmina Crespo-Cobo,
  • Francisco J. Esteban,
  • Ana Victoria Arias,
  • Javier Rodríguez-Árbol,
  • Maria Felipa Soriano,
  • Antonio J. Ibáñez-Molina and
  • Sergio Iglesias-Parro

22 February 2025

Schizophrenia is characterized by widespread disruptions in neural connectivity and dynamic modulation. Traditional EEG analyses often rely on static or averaged measures, which may overlook the temporal evolution of neural complexity across cognitiv...

  • Article
  • Open Access
4 Citations
3,743 Views
15 Pages

Statistical Analysis of PM10 Concentration in the Monterrey Metropolitan Area, Mexico (2010–2018)

  • Mario A. Aguirre-López,
  • Miguel Angel Rodríguez-González,
  • Roberto Soto-Villalobos,
  • Laura Elena Gómez-Sánchez,
  • Ángela Gabriela Benavides-Ríos,
  • Francisco Gerardo Benavides-Bravo,
  • Otoniel Walle-García and
  • María Gricelda Pamanés-Aguilar

9 February 2022

Air-quality monitoring and analysis are initial parts of a comprehensive strategy to prevent air pollution in cities. In such a context, statistical tools play an important role in determining the time-series trends, locating areas with high pollutan...

  • Article
  • Open Access
3 Citations
2,766 Views
15 Pages

12 August 2021

The low complexity domain (LCD) sequence has been defined in terms of entropy using a 12 amino acid sliding window along a protein sequence in the study of disease-related genes. The amyotrophic lateral sclerosis (ALS)-related TDP-43 protein sequence...

  • Article
  • Open Access
54 Citations
10,330 Views
15 Pages

8 August 2018

As a typical pattern recognition method, communication signal modulation involves many complicated factors. Fractal theory can be used for signal modulation feature extraction and recognition because of its good ability to express complex information...

  • Feature Paper
  • Article
  • Open Access
5 Citations
3,064 Views
19 Pages

Fractal Dimension Analysis of Earth Magnetic Field during 26 August 2018 Geomagnetic Storm

  • Anna Wawrzaszek,
  • Renata Modzelewska,
  • Agata Krasińska,
  • Agnieszka Gil and
  • Vasile Glavan

14 May 2022

We analyse the fractal nature of geomagnetic field northward and eastward horizontal components with 1 min resolution measured by the four stations Belsk, Hel, Sodankylä and Hornsund during the period of 22 August–1 September, when the 26...

  • Article
  • Open Access
3 Citations
7,423 Views
9 Pages

Sensory-Processing Sensitivity Is Associated with Increased Neural Entropy

  • Nike Walter,
  • Nicole Meinersen-Schmidt,
  • Patricia Kulla,
  • Thomas Loew,
  • Joachim Kruse and
  • Thilo Hinterberger

2 June 2023

Background: This study aimed at answering the following research questions: (1) Does the self-reported level of sensory-processing sensitivity (SPS) correlate with complexity, or criticality features of the electroencephalogram (EEG)? (2) Are there s...

  • Article
  • Open Access
5 Citations
4,170 Views
17 Pages

Across many resting-state electroencephalography (EEG) studies, dementia is associated with changes to the power spectrum and fractal dimension. Here, we describe a novel method to examine changes in the fractal dimension over time and within frequen...

  • Review
  • Open Access
484 Views
16 Pages

Fractal geometry offers a mathematical framework to quantify the complexity of brain structure and function. The fractal dimension (FD) captures self-similarity and irregularity across spatial and temporal scales, surpassing the limits of traditional...

  • Article
  • Open Access
584 Views
21 Pages

20 October 2025

This study aims to compare different classifiers in the context of distinguishing two classes of signals: nonlinear electrocardiography (ECG) signals and stochastic artifacts occurring in ECG signals. The ECG signals from a single-lead wearable Moves...

  • Article
  • Open Access
18 Citations
4,350 Views
20 Pages

9 March 2020

Variability in individual pain sensitivity is a major problem in pain assessment. There have been studies reported using pain-event related potential (pain-ERP) for evaluating pain perception. However, none of them has achieved high accuracy in estim...

  • Article
  • Open Access
67 Citations
14,770 Views
25 Pages

Resting-State EEG Signal for Major Depressive Disorder Detection: A Systematic Validation on a Large and Diverse Dataset

  • Chien-Te Wu,
  • Hao-Chuan Huang,
  • Shiuan Huang,
  • I-Ming Chen,
  • Shih-Cheng Liao,
  • Chih-Ken Chen,
  • Chemin Lin,
  • Shwu-Hua Lee,
  • Mu-Hong Chen and
  • Yi-Hung Liu
  • + 4 authors

6 December 2021

Major depressive disorder (MDD) is a global healthcare issue and one of the leading causes of disability. Machine learning combined with non-invasive electroencephalography (EEG) has recently been shown to have the potential to diagnose MDD. However,...

  • Article
  • Open Access
2 Citations
1,574 Views
19 Pages

Fractality–Autoencoder-Based Methodology to Detect Corrosion Damage in a Truss-Type Bridge

  • Martin Valtierra-Rodriguez,
  • Jose M. Machorro-Lopez,
  • Jesus J. Yanez-Borjas,
  • Jose T. Perez-Quiroz,
  • Jesus R. Rivera-Guillen and
  • Juan P. Amezquita-Sanchez

Corrosion negatively impacts the functionality of civil structures. This paper introduces a new methodology that combines the fractality of vibration signals with a data processing stage utilizing autoencoders to detect corrosion damage in a truss-ty...

  • Article
  • Open Access
143 Views
28 Pages

29 January 2026

Unmanned aerial vehicles (UAVs) and birds are typical low-altitude small targets in optical remote sensing, often occupying only a few pixels and exhibiting highly similar appearances, which limits the effectiveness of appearance-based discrimination...

  • Article
  • Open Access
733 Views
24 Pages

12 December 2025

Monitoring land use and land cover (LULC) transformations is essential for understanding socio-ecological dynamics. This study assesses structural shifts in Romania’s landscapes between 1990 and 2018 by integrating algorithmic complexity, fract...

  • Article
  • Open Access
16 Citations
5,853 Views
18 Pages

In this study, we investigate the existence of chaos in the global cryptocurrency market. Specifically, we analyze parameters of chaotic order, nonlinearity, sensitivity to the initial conditions, monofractality, and multifractality. For this purpose...

  • Article
  • Open Access
15 Citations
5,487 Views
13 Pages

Detection of Hypoglycemia Using Measures of EEG Complexity in Type 1 Diabetes Patients

  • Maria Rubega,
  • Fabio Scarpa,
  • Debora Teodori,
  • Anne-Sophie Sejling,
  • Christian S. Frandsen and
  • Giovanni Sparacino

9 January 2020

Previous literature has demonstrated that hypoglycemic events in patients with type 1 diabetes (T1D) are associated with measurable scalp electroencephalography (EEG) changes in power spectral density. In the present study, we used a dataset of 19-ch...

  • Article
  • Open Access
4 Citations
3,043 Views
15 Pages

Application of the Random Forest Algorithm for Accurate Bipolar Disorder Classification

  • Miguel Suárez,
  • Ana M. Torres,
  • Pilar Blasco-Segura and
  • Jorge Mateo

3 March 2025

Bipolar disorder (BD) is a complex psychiatric condition characterized by alternating episodes of mania and depression, posing significant challenges for accurate and timely diagnosis. This study explores the use of the Random Forest (RF) algorithm a...

  • Article
  • Open Access
6 Citations
2,429 Views
39 Pages

4 February 2023

This paper deals with the problem of diagnosing oncological diseases based on blood protein markers. The goal of the study is to develop a novel approach in decision-making on diagnosing oncological diseases based on blood protein markers by generati...

  • Article
  • Open Access
3 Citations
1,655 Views
27 Pages

27 May 2025

The ongoing exploration of brain–computer interfaces (BCIs) provides deeper insights into the workings of the human brain. Motor imagery (MI) tasks, such as imagining movements of the tongue, left and right hands, or feet, can be identified thr...

  • Article
  • Open Access
9 Citations
8,651 Views
15 Pages

11 May 2017

This study aimed to investigate the fatiguing characteristics of muscle-tendon units (MTUs) within skeletal muscles during static isometric contraction tasks. The deltoid was selected as the target muscle and three head-related static isometric contr...

  • Article
  • Open Access
54 Citations
5,067 Views
14 Pages

Ensemble Approach for Detection of Depression Using EEG Features

  • Egils Avots,
  • Klāvs Jermakovs,
  • Maie Bachmann,
  • Laura Päeske,
  • Cagri Ozcinar and
  • Gholamreza Anbarjafari

28 January 2022

Depression is a public health issue that severely affects one’s well being and can cause negative social and economic effects to society. To raise awareness of these problems, this research aims at determining whether the long-lasting effects o...

  • Article
  • Open Access
44 Citations
8,509 Views
19 Pages

19 November 2014

The objective of the work was to develop a non-invasive methodology for image acquisition, processing and nonlinear trajectory analysis of the collective fish response to a stochastic event. Object detection and motion estimation were performed by a...

  • Article
  • Open Access
18 Citations
6,585 Views
21 Pages

Real-Time Implementation of Multiband Spectrum Sensing Using SDR Technology

  • Yanqueleth Molina-Tenorio,
  • Alfonso Prieto-Guerrero and
  • Rafael Aguilar-Gonzalez

18 May 2021

In this work, a novel multiband spectrum sensing technique is implemented in the context of cognitive radios. This technique is based on multiresolution analysis (wavelets), machine learning, and the Higuchi fractal dimension. The theoretical contrib...

  • Article
  • Open Access
13 Citations
3,532 Views
12 Pages

A Hypothalamic Mechanism Regulates the Duration of a Migraine Attack: Insights from Microstructural and Temporal Complexity of Cortical Functional Networks Analysis

  • Camillo Porcaro,
  • Antonio Di Renzo,
  • Emanuele Tinelli,
  • Vincenzo Parisi,
  • Cherubino Di Lorenzo,
  • Francesca Caramia,
  • Marco Fiorelli,
  • Giada Giuliani,
  • Ettore Cioffi and
  • Gianluca Coppola
  • + 4 authors

31 October 2022

The role of the hypothalamus and the limbic system at the onset of a migraine attack has recently received significant interest. We analyzed diffusion tensor imaging (DTI) parameters of the entire hypothalamus and its subregions in 15 patients during...

  • Article
  • Open Access
7 Citations
2,083 Views
27 Pages

4 December 2024

Research on brain–computer interfaces (BCIs) advances the way scientists understand how the human brain functions. The BCI system, which is based on the use of electroencephalography (EEG) signals to detect motor imagery (MI) tasks, enables opp...

  • Article
  • Open Access
5 Citations
2,850 Views
16 Pages

Multiband Spectrum Sensing Based on the Sample Entropy

  • Yanqueleth Molina-Tenorio,
  • Alfonso Prieto-Guerrero and
  • Rafael Aguilar-Gonzalez

15 March 2022

Cognitive radios represent a real alternative to the scarcity of the radio spectrum. One of the primary tasks of these radios is the detection of possible gaps in a given bandwidth used by licensed users (called also primary users). This task, called...

  • Article
  • Open Access
1 Citations
1,928 Views
38 Pages

8 February 2024

This paper discusses the problem of detecting cancer using such biomarkers as blood protein markers. The purpose of this research is to propose an approach for making decisions in the diagnosis of cancer through the creation of cost-sensitive SVM cla...

  • Article
  • Open Access
8 Citations
3,121 Views
14 Pages

Correlations and Fractality in Sentence-Level Sentiment Analysis Based on VADER for Literary Texts

  • Ricardo Hernández-Pérez,
  • Pablo Lara-Martínez,
  • Bibiana Obregón-Quintana,
  • Larry S. Liebovitch and
  • Lev Guzmán-Vargas

4 November 2024

We perform a sentence-level sentiment analysis study of different literary texts in English language. Each text is converted into a series in which the data points are the sentiment value of each sentence obtained using the sentiment analysis tool (V...

  • Article
  • Open Access
6 Citations
3,053 Views
21 Pages

Generalisation of EEG-Based Pain Biomarker Classification for Predicting Central Neuropathic Pain in Subacute Spinal Cord Injury

  • Keri Anderson,
  • Sebastian Stein,
  • Ho Suen,
  • Mariel Purcell,
  • Maurizio Belci,
  • Euan McCaughey,
  • Ronali McLean,
  • Aye Khine and
  • Aleksandra Vuckovic

Background: The objective was to test the generalisability of electroencephalography (EEG) markers of future pain using two independent datasets. Methods: Datasets, A [N = 20] and B [N = 35], were collected from participants with subacute spinal cord...

  • Article
  • Open Access
4 Citations
3,824 Views
11 Pages

Complexity Measures of Heart-Rate Variability in Amyotrophic Lateral Sclerosis with Alternative Pulmonary Capacities

  • Renata M. M. Pimentel,
  • Celso Ferreira,
  • Vitor Valenti,
  • David M. Garner,
  • Hugo Macedo,
  • Acary S. Bulle Oliveira,
  • Francisco Naildo Cardoso Leitão and
  • Luiz Carlos de Abreu

28 January 2021

Objective: the complexity of heart-rate variability (HRV) in amyotrophic lateral sclerosis (ALS) patients with different pulmonary capacities was evaluated. Methods: We set these according to their pulmonary capacity, and specifically forced vital ca...

  • Article
  • Open Access
1 Citations
2,716 Views
51 Pages

Anorexia nervosa is associated with impaired cognitive flexibility and central coherence, i.e., the ability to provide an overview of complex information. Therefore, the aim of the present study was to evaluate EEG features elicited from patients wit...

  • Article
  • Open Access
1 Citations
904 Views
14 Pages

Linear and Non-Linear Methods to Discriminate Cortical Parcels Based on Neurodynamics: Insights from sEEG Recordings

  • Karolina Armonaite,
  • Livio Conti,
  • Luigi Laura,
  • Michele Primavera and
  • Franca Tecchio

Understanding human cortical neurodynamics is increasingly important, as highlighted by the European Innovation Council, which prioritises tools for measuring and stimulating brain activity. Unravelling how cytoarchitecture, morphology, and connectiv...

  • Article
  • Open Access
43 Citations
9,067 Views
22 Pages

3 July 2017

Motor imagery is based on the volitional modulation of sensorimotor rhythms (SMRs); however, the sensorimotor processes in patients with amyotrophic lateral sclerosis (ALS) are impaired, leading to degenerated motor imagery ability. Thus, motor image...

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