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418 Results Found

  • Article
  • Open Access
11 Citations
6,280 Views
15 Pages

1 June 2016

Based on the fast kernel entropy optimization independent component analysis and the minimum conditional entropy, this paper proposes a harmonic source localization method which aims at accurately estimating harmonic currents and identifying harmonic...

  • Article
  • Open Access
2 Citations
3,393 Views
22 Pages

30 June 2020

Recent literature shows that many testing procedures used to evaluate asset pricing models result in spurious rejection probabilities. Model misspecification, the strong factor structure of test assets, or skewed test statistics largely explain this....

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
19 Citations
5,437 Views
13 Pages

Weighted Kernel Entropy Component Analysis for Fault Diagnosis of Rolling Bearings

  • Hongdi Zhou,
  • Tielin Shi,
  • Guanglan Liao,
  • Jianping Xuan,
  • Jie Duan,
  • Lei Su,
  • Zhenzhi He and
  • Wuxing Lai

18 March 2017

This paper presents a supervised feature extraction method called weighted kernel entropy component analysis (WKECA) for fault diagnosis of rolling bearings. The method is developed based on kernel entropy component analysis (KECA) which attempts to...

(This article belongs to the Section Physical Sensors)
  • Proceeding Paper
  • Open Access

Testing exponentiality is a fundamental problem in reliability and survival analysis. This paper proposes a kernel-based nonparametric test for exponentiality against monotonic residual uncertainty alternatives. The procedure relies on kernel estimat...

(This article belongs to the Proceedings of The 2nd International Online Conference on Mathematics and Applications (IOCMA 2026))
  • Article
  • Open Access
822 Views
17 Pages

10 February 2026

Background: Resting-state functional MRI (rs-fMRI) studies typically rely on linear Pearson correlation to characterize brain connectivity, potentially overlooking the distributional characteristics of functional networks. This study introduces a ker...

(This article belongs to the Section Neurotechnology and Neuroimaging)
  • Article
  • Open Access
11 Citations
4,090 Views
25 Pages

Kernel Entropy Component Analysis-Based Robust Hyperspectral Image Supervised Classification

  • Bing Tu,
  • Chengle Zhou,
  • Jin Peng,
  • Wei He,
  • Xianfeng Ou and
  • Zhi Xu

28 November 2019

Recently, the “noisy label" problem has become a hot topic in supervised classification of hyperspectral images (HSI). Nonetheless, how to effectively remove noisy labels from a training set with mislabeled samples is a nontrivial task for a mu...

  • Article
  • Open Access
8 Citations
3,721 Views
14 Pages

Kernel Estimation of Cumulative Residual Tsallis Entropy and Its Dynamic Version under ρ-Mixing Dependent Data

  • Muhammed Rasheed Irshad,
  • Radhakumari Maya,
  • Francesco Buono and
  • Maria Longobardi

21 December 2021

Tsallis introduced a non-logarithmic generalization of Shannon entropy, namely Tsallis entropy, which is non-extensive. Sati and Gupta proposed cumulative residual information based on this non-extensive entropy measure, namely cumulative residual Ts...

(This article belongs to the Special Issue Measures of Information II)
  • Article
  • Open Access
34 Citations
6,875 Views
15 Pages

Stationary Wavelet Singular Entropy and Kernel Extreme Learning for Bearing Multi-Fault Diagnosis

  • Nibaldo Rodriguez,
  • Guillermo Cabrera,
  • Carolina Lagos and
  • Enrique Cabrera

13 October 2017

The behavioural diagnostics of bearings play an essential role in the management of several rotation machine systems. However, current diagnostic methods do not deliver satisfactory results with respect to failures in variable speed rotational phenom...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
12 Citations
3,951 Views
15 Pages

Stationary Wavelet-Fourier Entropy and Kernel Extreme Learning for Bearing Multi-Fault Diagnosis

  • Nibaldo Rodriguez,
  • Lida Barba,
  • Pablo Alvarez and
  • Guillermo Cabrera-Guerrero

28 May 2019

Bearing fault diagnosis methods play an important role in rotating machine health monitoring. In recent years, various intelligent fault diagnosis methods have been proposed, which are mainly based on the features extraction method combined with eith...

  • Article
  • Open Access
20 Citations
4,504 Views
16 Pages

13 September 2018

In view of the nonlinear characteristics of electroencephalography (EEG) signals collected in the driving fatigue state recognition research and the issue that the recognition accuracy of the driving fatigue state recognition method based on EEG is s...

(This article belongs to the Special Issue Evaluation of Systems’ Irregularity and Complexity: Sample Entropy, Its Derivatives, and Their Applications across Scales and Disciplines)
  • Article
  • Open Access
12 Citations
2,634 Views
19 Pages

A Fault Diagnosis Method of Rolling Bearing Based on Attention Entropy and Adaptive Deep Kernel Extreme Learning Machine

  • Weiyu Wang,
  • Xunxin Zhao,
  • Lijun Luo,
  • Pei Zhang,
  • Fan Mo,
  • Fei Chen,
  • Diyi Chen,
  • Fengjiao Wu and
  • Bin Wang

10 November 2022

To address the difficulty of early fault diagnosis of rolling bearings, this paper proposes a rolling bearing diagnosis method by combining the attention entropy and adaptive deep kernel extreme learning machine (ADKELM). Firstly, the wavelet thresho...

  • Article
  • Open Access
4 Citations
2,416 Views
13 Pages

Ultrasound Entropy Imaging Based on the Kernel Density Estimation: A New Approach to Hepatic Steatosis Characterization

  • Ruiyang Gao,
  • Po-Hsiang Tsui,
  • Shuicai Wu,
  • Dar-In Tai,
  • Guangyu Bin and
  • Zhuhuang Zhou

12 December 2023

In this paper, we present the kernel density estimation (KDE)-based parallelized ultrasound entropy imaging and apply it for hepatic steatosis characterization. A KDE technique was used to estimate the probability density function (PDF) of ultrasound...

(This article belongs to the Section Medical Imaging and Theranostics)
  • Article
  • Open Access
4 Citations
5,607 Views
18 Pages

22 July 2016

With the recent emergence of wireless sensor networks (WSNs) in the cloud computing environment, it is now possible to monitor and gather physical information via lots of sensor nodes to meet the requirements of cloud services. Generally, those senso...

(This article belongs to the Special Issue Information Theoretic Learning)
  • Article
  • Open Access
10 Citations
4,989 Views
26 Pages

Kernel-Based Phase Transfer Entropy with Enhanced Feature Relevance Analysis for Brain Computer Interfaces

  • Iván De La Pava Panche,
  • Andrés Álvarez-Meza,
  • Paula Marcela Herrera Gómez,
  • David Cárdenas-Peña,
  • Jorge Iván Ríos Patiño and
  • Álvaro Orozco-Gutiérrez

21 July 2021

Neural oscillations are present in the brain at different spatial and temporal scales, and they are linked to several cognitive functions. Furthermore, the information carried by their phases is fundamental for the coordination of anatomically distri...

(This article belongs to the Special Issue Advances in Neuroimaging Data Processing)
  • Article
  • Open Access
4 Citations
4,215 Views
17 Pages

Estimating Directed Phase-Amplitude Interactions from EEG Data through Kernel-Based Phase Transfer Entropy

  • Iván De La Pava Panche,
  • Viviana Gómez-Orozco,
  • Andrés Álvarez-Meza,
  • David Cárdenas-Peña and
  • Álvaro Orozco-Gutiérrez

20 October 2021

Cross-frequency interactions, a form of oscillatory neural activity, are thought to play an essential role in the integration of distributed information in the brain. Indeed, phase-amplitude interactions are believed to allow for the transfer of info...

(This article belongs to the Special Issue Research on Biomedical Signal Processing)
  • Article
  • Open Access
20 Citations
3,523 Views
24 Pages

10 October 2022

The high spectral resolution of hyperspectral images (HSIs) provides rich information but causes data redundancy, which imposes a computational burden on practical applications. Band selection methods can select a subset of HSI without changing the m...

(This article belongs to the Special Issue Pattern Recognition in Hyperspectral Remote Sensing)
  • Article
  • Open Access
345 Views
42 Pages

20 August 2026

Feature selection is a critical step in regression problems where a large number of continuous explanatory variables explain the same target through different dependency structures. Classical filters may remain sensitive to a single form of dependenc...

(This article belongs to the Special Issue Insight into Entropy)
  • Article
  • Open Access
4 Citations
3,268 Views
14 Pages

21 October 2019

In the hot strip rolling process, many process parameters are related to the quality of the final products. Sometimes, the process parameters corresponding to different steel grades are close to, or even overlap, each other. In reality, locating over...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
12 Citations
8,564 Views
19 Pages

8 September 2015

Network anomaly detection and classification is an important open issue in network security. Several approaches and systems based on different mathematical tools have been studied and developed, among them, the Anomaly-Network Intrusion Detection Sys...

(This article belongs to the Special Issue Selected Papers from 1st International Electronic Conference on Entropy and its Applications)
  • Article
  • Open Access
28 Citations
6,135 Views
17 Pages

Combining Multi-Scale Wavelet Entropy and Kernelized Classification for Bearing Multi-Fault Diagnosis

  • Nibaldo Rodriguez,
  • Pablo Alvarez,
  • Lida Barba and
  • Guillermo Cabrera-Guerrero

5 February 2019

Discriminative feature extraction and rolling element bearing failure diagnostics are very important to ensure the reliability of rotating machines. Therefore, in this paper, we propose multi-scale wavelet Shannon entropy as a discriminative fault fe...

(This article belongs to the Collection Wavelets, Fractals and Information Theory)
  • Article
  • Open Access
2 Citations
1,271 Views
25 Pages

21 February 2025

Environmental effects often trigger false alarms in vibration-based damage detection methods used for structural health monitoring (SHM). While conventional techniques like Principal Component Analysis (PCA) and cointegration have been somewhat effec...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
1 Citations
1,179 Views
23 Pages

Takens-Based Kernel Transfer Entropy Connectivity Network for Motor Imagery Classification

  • Alejandra Gomez-Rivera,
  • Andrés M. Álvarez-Meza,
  • David Cárdenas-Peña and
  • Alvaro Orozco-Gutierrez

19 November 2025

Reliable decoding of motor imagery (MI) from electroencephalographic signals remains a challenging problem due to their nonlinear, noisy, and non-stationary nature. To address this issue, this work proposes an end-to-end deep learning model, termed T...

(This article belongs to the Special Issue EEG-Based Brain–Computer Interface: Trends, Challenges and Advancements)
  • Article
  • Open Access
5,117 Views
14 Pages

Combining Entropy Measures for Anomaly Detection

  • Alberto Muñoz,
  • Nicolás Hernández,
  • Javier M. Moguerza and
  • Gabriel Martos

12 September 2018

The combination of different sources of information is a problem that arises in several situations, for instance, when data are analysed using different similarity measures. Often, each source of information is given as a similarity, distance, or a k...

(This article belongs to the Special Issue Entropy: From Physics to Information Sciences and Geometry)
  • Article
  • Open Access
2 Citations
2,434 Views
19 Pages

26 April 2022

Synthetic aperture radar (SAR) target discrimination is an important stage that distinguishes targets from clutters in the radar automatic target recognition field. However, in complex SAR scenes, the performance of some traditional discriminators wi...

(This article belongs to the Special Issue Advances in SAR Image Processing and Applications)
  • Article
  • Open Access
12 Citations
4,365 Views
17 Pages

21 May 2018

This study introduced entropy measures to analyze the heart sound signals of people with and without pulmonary hypertension (PH). The lead II Electrocardiography (ECG) signal and heart sound signal were simultaneously collected from 104 subjects aged...

  • Article
  • Open Access
1,458 Views
21 Pages

14 April 2026

Uncertainty estimation is critical for deploying large language models (LLMs) in safety-sensitive and decision-critical applications. Recent approaches estimate semantic uncertainty by clustering multiple sampled responses into equivalence classes an...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
2,772 Views
13 Pages

In this paper, we estimate the Shannon entropy S(f)=−E[log(f(x))] of a one-sided linear process with probability density function f(x). We employ the integral estimator Sn(f), which utilizes the standard kernel density estimator fn(x) of f(x)....

(This article belongs to the Special Issue Nonparametric Econometric Methods and Application II)
  • Article
  • Open Access
8 Citations
5,835 Views
20 Pages

3 July 2015

The classic principal components analysis (PCA), kernel PCA (KPCA) and linear discriminant analysis (LDA) feature extraction methods evaluate the importance of components according to their covariance contribution, not considering the entropy contrib...

  • Article
  • Open Access
13 Citations
3,575 Views
27 Pages

Fuzzy Clustering Methods with Rényi Relative Entropy and Cluster Size

  • Javier Bonilla,
  • Daniel Vélez,
  • Javier Montero and
  • J. Tinguaro Rodríguez

18 June 2021

In the last two decades, information entropy measures have been relevantly applied in fuzzy clustering problems in order to regularize solutions by avoiding the formation of partitions with excessively overlapping clusters. Following this idea, relat...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
3 Citations
2,507 Views
12 Pages

21 January 2023

As the core equipment of the high-pressure diaphragm pump, the working conditions of the check valve are complicated, and the vibration signal generated during operation displays non-stationary and nonlinear characteristics. In order to accurately de...

(This article belongs to the Special Issue Fault Diagnosis Methods Based on Information Theory or Machine Learning: From Theory to Application)
  • Article
  • Open Access
1 Citations
3,305 Views
19 Pages

Maximum Entropy Evaluation of Asymptotic Hedging Error under a Generalised Jump-Diffusion Model

  • Farzad Alavi Fard,
  • Firmin Doko Tchatoka and
  • Sivagowry Sriananthakumar

In this paper we propose a maximum entropy estimator for the asymptotic distribution of the hedging error for options. Perfect replication of financial derivatives is not possible, due to market incompleteness and discrete-time hedging. We derive the...

(This article belongs to the Special Issue Frontiers in Quantitative Finance)
  • Article
  • Open Access
5 Citations
2,197 Views
16 Pages

Kernel Estimation of the Extropy Function under α-Mixing Dependent Data

  • Radhakumari Maya,
  • Muhammed Rasheed Irshad,
  • Hassan Bakouch,
  • Archana Krishnakumar and
  • Najla Qarmalah

24 March 2023

Shannon developed the idea of entropy in 1948, which relates to the measure of uncertainty associated with a random variable X. The contribution of the extropy function as a dual complement of entropy is one of the key modern results based on Shannon...

  • Article
  • Open Access
182 Citations
13,924 Views
19 Pages

30 March 2015

Background: Developing an accurate computer-aided diagnosis (CAD) system of MR brain images is essential for medical interpretation and analysis. In this study, we propose a novel automatic CAD system to distinguish abnormal brains from normal brains...

(This article belongs to the Special Issue Wavelet Entropy: Computation and Applications)
  • Article
  • Open Access
8 Citations
4,096 Views
13 Pages

6 August 2020

The solid oxide fuel cell (SOFC) is a new energy technology that has the advantages of low emissions and high efficiency. However, oscillation and propagation often occur during the power generation of the system, which causes system performance degr...

(This article belongs to the Special Issue Renewables-Based Microgrids)
  • Article
  • Open Access
4 Citations
2,363 Views
21 Pages

16 May 2023

Carbon trading has been deemed as the most effective mechanism to mitigate carbon emissions. However, during carbon trading market operation, competition among market participants will inevitably occur; hence, the precise forecasting of the carbon tr...

(This article belongs to the Special Issue Data-Driven Methods and Artificial Intelligence in Reliability and Maintenance, 2nd Edition)
  • Article
  • Open Access
410 Views
23 Pages

The health status of rolling bearings is critical to the normal operation of rotating machinery. To effectively extract vibration signal features and accurately identify different fault types, a novel method based on enhanced composite multi-scale sl...

(This article belongs to the Special Issue Intelligent Sensing Empowered by Artificial Intelligence)
  • Article
  • Open Access
87 Citations
7,426 Views
20 Pages

29 September 2017

Rolling bearings are key components of rotary machines. To ensure early effective fault diagnosis for bearings, a new rolling bearing fault diagnosis method based on variational mode decomposition (VMD) and an improved kernel extreme learning machine...

(This article belongs to the Section Mechanical Engineering)
  • Article
  • Open Access
1 Citations
3,362 Views
12 Pages

Bayesian Multi-Targets Strategy to Track Apis mellifera Movements at Colony Level

  • Jordão N. Oliveira,
  • Jônatas C. Santos,
  • Luis O. Viteri Jumbo,
  • Carlos H. S. Almeida,
  • Pedro F. S. Toledo,
  • Sarah M. Rezende,
  • Khalid Haddi,
  • Weyder C. Santana,
  • Michel Bessani and
  • Carlos D. Maciel
  • + 2 authors

9 February 2022

Interactive movements of bees facilitate the division and organization of collective tasks, notably when they need to face internal or external environmental challenges. Here, we present a Bayesian and computational approach to track the movement of...

(This article belongs to the Section Social Insects and Apiculture)
  • Article
  • Open Access
18 Citations
3,070 Views
19 Pages

21 July 2023

As a national strategy, the development of the Yangtze River Economic Belt (YREB) and the ecological protection and high-quality development (HQD) of the Yellow River Basin (YRB) are of great significance for promoting the HQD of the regional economy...

  • Article
  • Open Access
514 Views
28 Pages

Transformer-Based Modeling of Directed Transfer Entropy Connectivity for EEG-Based ADHD Classification in Children

  • Alejandra Gomez-Rivera,
  • Julián David Pastrana-Cortés,
  • Andrés Marino Álvarez-Meza,
  • Julian Gil-Gonzalez and
  • David Cárdenas-Peña

11 September 2026

Electroencephalography (EEG) provides a non-invasive and cost-effective tool for supporting the assessment of attention-deficit/hyperactivity disorder (ADHD). However, the nonstationary nature of EEG produces substantial variability among signal wind...

(This article belongs to the Special Issue EEG Signal Processing in Healthcare, Cognitive Neuroscience, and Medical Diagnosis)
  • Article
  • Open Access
18 Citations
8,517 Views
22 Pages

30 June 2017

In this paper, we propose to improve trajectory shape analysis by explicitly considering the speed attribute of trajectory data, and to successfully achieve anomaly detection. The shape of object motion trajectory is modeled using Kernel Density Esti...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
6 Citations
3,909 Views
26 Pages

24 January 2025

The structure learning of a Bayesian network (BN) is a crucial process that aims to unravel the complex dependencies relationships among variables using a given dataset. This paper proposes a new BN structure learning method for data with continuous...

(This article belongs to the Special Issue Applications of Information Theory to Machine Learning)
  • Article
  • Open Access
106 Citations
11,366 Views
17 Pages

Tea Category Identification Using a Novel Fractional Fourier Entropy and Jaya Algorithm

  • Yudong Zhang,
  • Xiaojun Yang,
  • Carlo Cattani,
  • Ravipudi Venkata Rao,
  • Shuihua Wang and
  • Preetha Phillips

27 February 2016

This work proposes a tea-category identification (TCI) system, which can automatically determine tea category from images captured by a 3 charge-coupled device (CCD) digital camera. Three-hundred tea images were acquired as the dataset. Apart from th...

(This article belongs to the Special Issue Computational Complexity)
  • Article
  • Open Access
5 Citations
1,784 Views
18 Pages

7 October 2023

A multi-strategy improved sand cat swarm algorithm with PTCN-BIGRU is proposed to solve the problem of predicting the risk level of gas-containing coal fracture. Combined with kernel entropy component analysis to downscale the gas-containing coal fra...

  • Article
  • Open Access
29 Citations
6,949 Views
22 Pages

Cascade Residual Multiscale Convolution and Mamba-Structured UNet for Advanced Brain Tumor Image Segmentation

  • Rui Zhou,
  • Ju Wang,
  • Guijiang Xia,
  • Jingyang Xing,
  • Hongming Shen and
  • Xiaoyan Shen

30 April 2024

In brain imaging segmentation, precise tumor delineation is crucial for diagnosis and treatment planning. Traditional approaches include convolutional neural networks (CNNs), which struggle with processing sequential data, and transformer models that...

  • Feature Paper
  • Article
  • Open Access
13 Citations
4,290 Views
34 Pages

On the Accurate Estimation of Information-Theoretic Quantities from Multi-Dimensional Sample Data

  • Manuel Álvarez Chaves,
  • Hoshin V. Gupta,
  • Uwe Ehret and
  • Anneli Guthke

30 April 2024

Using information-theoretic quantities in practical applications with continuous data is often hindered by the fact that probability density functions need to be estimated in higher dimensions, which can become unreliable or even computationally unfe...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
1,469 Views
23 Pages

Eye Movement Patterns as Robust Biomarkers for Schizophrenia Identification Using a Novel Data Transformation Approach

  • Lijin Huang,
  • Senhao Li,
  • Zhi Liu,
  • Dan Zhang,
  • Lihua Xu,
  • Tianhong Zhang and
  • Jijun Wang

Although eye movement abnormalities are documented in schizophrenia (SZ), their translation into objective diagnostic biomarkers remains limited. In this study, we propose a novel identification framework that integrates a Sparsity-Scoring Kernel Ent...

(This article belongs to the Special Issue Digital Advances in Binocular Vision and Eye Movement Assessment)
  • Article
  • Open Access
3 Citations
3,337 Views
30 Pages

21 June 2023

We present a novel nonparametric adaptive partitioning and stitching (NAPS) algorithm to estimate a probability density function (PDF) of a single variable. Sampled data is partitioned into blocks using a branching tree algorithm that minimizes devia...

(This article belongs to the Collection Parallel and Distributed Computing: Algorithms and Applications)
  • Article
  • Open Access
39 Citations
4,719 Views
19 Pages

Wind Power Short-Term Forecasting Hybrid Model Based on CEEMD-SE Method

  • Keke Wang,
  • Dongxiao Niu,
  • Lijie Sun,
  • Hao Zhen,
  • Jian Liu,
  • Gejirifu De and
  • Xiaomin Xu

11 November 2019

Accurately predicting wind power is crucial for the large-scale grid-connected of wind power and the increase of wind power absorption proportion. To improve the forecasting accuracy of wind power, a hybrid forecasting model using data preprocessing...

(This article belongs to the Special Issue Energy, Economic and Environment for Industrial Production Processes)
  • Article
  • Open Access
3 Citations
3,632 Views
16 Pages

24 February 2025

In the era of globalization and information technology, the aviation industry has experienced rapid growth. However, the increase in flight numbers has exacerbated environmental issues such as exhaust emissions and noise pollution, raising significan...

(This article belongs to the Section Air Pollution Control)

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