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295 Results Found

  • Article
  • Open Access
12 Citations
2,423 Views
22 Pages

Enhancement of Non-Permutation Binomial Power Functions to Construct Cryptographically Strong S-Boxes

  • Herman Isa,
  • Syed Alwee Aljunid Syed Junid,
  • Muhammad Reza Z’aba,
  • Rosdisham Endut,
  • Syed Mohammad Ammar and
  • Norshamsuri Ali

14 January 2023

A Substitution box (S-box) is an important component used in symmetric key cryptosystems to satisfy Shannon’s property on confusion. As the only nonlinear operation, the S-box must be cryptographically strong to thwart any cryptanalysis tools o...

  • Article
  • Open Access
2 Citations
2,385 Views
16 Pages

In this paper, we study the exact asymptotic separation rate of two distinct solutions of Caputo stochastic multi-term differential equations (Caputo SMTDEs). Our goal in this paper is to establish results of the global existence and uniqueness and c...

  • Article
  • Open Access
7 Citations
3,104 Views
18 Pages

Solving Non-Permutation Flow Shop Scheduling Problem with Time Couplings

  • Radosław Idzikowski,
  • Jarosław Rudy and
  • Andrzej Gnatowski

13 May 2021

In this paper, a non-permutation variant of the Flow Shop Scheduling Problem with Time Couplings and makespan minimization is considered. Time couplings are defined as machine minimum and maximum idle time allowed. The problem is inspired by the conc...

  • Article
  • Open Access
5 Citations
2,535 Views
21 Pages

14 December 2020

Based on the non-permutation property of intercell scheduling in flowline manufacturing cells, a hybrid harmony search algorithm is proposed to solve the problem with the makespan criterion. On the basis of the basic harmony search algorithm, the thr...

  • Article
  • Open Access
8 Citations
2,322 Views
17 Pages

3 September 2020

In this paper, the stability of Ulam–Hyers and existence of solutions for semi-linear time-delay systems with linear impulsive conditions are studied. The linear parts of the impulsive systems are defined by non-permutable matrices. To obtain s...

  • Article
  • Open Access
12 Citations
6,661 Views
19 Pages

27 February 2018

Dynamic mode decomposition (DMD) is essentially a hybrid algorithm based on mode decomposition and singular value decomposition, and it inevitably inherits the drawbacks of these two algorithms, including the selection strategy of truncated rank orde...

  • Article
  • Open Access
15 Citations
6,855 Views
14 Pages

8 December 2017

Specific patterns of brain activity during sleep and waking are recorded in the electroencephalogram (EEG). Time-frequency analysis methods have been widely used to analyse the EEG and identified characteristic oscillations for each vigilance state (...

  • Article
  • Open Access
16 Citations
5,079 Views
13 Pages

Permutation Entropy Based on Non-Uniform Embedding

  • Mei Tao,
  • Kristina Poskuviene,
  • Nizar Faisal Alkayem,
  • Maosen Cao and
  • Minvydas Ragulskis

17 August 2018

A novel visualization scheme for permutation entropy is presented in this paper. The proposed scheme is based on non-uniform attractor embedding of the investigated time series. A single digital image of permutation entropy is produced by averaging a...

  • Article
  • Open Access
1,742 Views
12 Pages

Affinity Peptide-Based Circularly Permuted Fluorescent Protein Biosensors for Non-Small Cell Lung Cancer Diagnosis

  • Dengyue Xu,
  • Qingyun Jiang,
  • Zhi Li,
  • Angyang Shang,
  • Jiaqi Liu,
  • Chengyu Xue,
  • Shuai Shao,
  • Hangyu Zhang,
  • Hong Yuan and
  • Bin Wu
  • + 1 author

11 December 2024

Non-small cell lung cancer (NSCLC) is the predominant form of lung cancer and poses a significant public health challenge. Early detection is crucial for improving patient outcomes, with serum biomarkers such as carcinoembryonic antigen (CEA), squamo...

  • Article
  • Open Access
628 Views
19 Pages

17 September 2025

In distributed manufacturing systems, minimizing completion time and improving resource utilization are critical for enhancing operational efficiency. Conventional scheduling models for centralized flowshops struggle to capture the complexity of dist...

  • Article
  • Open Access
1 Citations
678 Views
17 Pages

A Non-Parametric Test for a Two-Way Analysis of Variance

  • Stefano Bonnini,
  • Michela Borghesi,
  • Gianfranco Piscopo and
  • Massimiliano Giacalone

29 March 2025

The methodology carried out in this work is based on non-parametric inference. The problem is framed as a regression analysis, and the solution is derived using the permutation approach. The proposed test does not rely on the assumption that the dist...

  • Article
  • Open Access
11 Citations
2,237 Views
20 Pages

8 July 2022

In this work, we seek to design a model that contributes to the study and resolution of a multi-objective rescheduling problem in dynamic permutation flow shop contexts. In this type of problem, where the objectives can be valued in heterogeneous uni...

  • Article
  • Open Access
26 Citations
8,559 Views
22 Pages

Selection of Entropy Based Features for Automatic Analysis of Essential Tremor

  • Karmele López-de-Ipiña,
  • Jordi Solé-Casals,
  • Marcos Faundez-Zanuy,
  • Pilar M. Calvo,
  • Enric Sesa,
  • Unai Martinez de Lizarduy,
  • Patricia De La Riva,
  • Jose F. Marti-Masso,
  • Blanca Beitia and
  • Alberto Bergareche

16 May 2016

Biomedical systems produce biosignals that arise from interaction mechanisms. In a general form, those mechanisms occur across multiple scales, both spatial and temporal, and contain linear and non-linear information. In this framework, entropy measu...

  • Article
  • Open Access
22 Citations
5,005 Views
15 Pages

2 December 2016

Convex 1-D first-order total variation (TV) denoising is an effective method for eliminating signal noise, which can be defined as convex optimization consisting of a quadratic data fidelity term and a non-convex regularization term. It not only ensu...

  • Article
  • Open Access
24 Citations
4,240 Views
17 Pages

Permutation Entropy-Based Interpretability of Convolutional Neural Network Models for Interictal EEG Discrimination of Subjects with Epileptic Seizures vs. Psychogenic Non-Epileptic Seizures

  • Michele Lo Giudice,
  • Giuseppe Varone,
  • Cosimo Ieracitano,
  • Nadia Mammone,
  • Giovanbattista Gaspare Tripodi,
  • Edoardo Ferlazzo,
  • Sara Gasparini,
  • Umberto Aguglia and
  • Francesco Carlo Morabito

9 January 2022

The differential diagnosis of epileptic seizures (ES) and psychogenic non-epileptic seizures (PNES) may be difficult, due to the lack of distinctive clinical features. The interictal electroencephalographic (EEG) signal may also be normal in patients...

  • Article
  • Open Access
3 Citations
2,540 Views
35 Pages

29 June 2021

This paper considers a variant of the relocation problem, which is formulated from an urban renewal project. There is a set of jobs to be processed in a two-machine flow shop subject to a given initial resource level. Each job consumes some units of...

  • Article
  • Open Access
1 Citations
2,196 Views
15 Pages

11 August 2022

(1) Background: This paper aims to examine two relevant phenomena in the context of public health: spontaneous abortion (SA) and induced abortion (IA). SA is one of the most common complications of pregnancies; IA is a conscious choice that is made b...

  • Article
  • Open Access
29 Citations
7,111 Views
30 Pages

27 August 2019

Biomedical signals are measurable time series that describe a physiological state of a biological system. Entropy algorithms have been previously used to quantify the complexity of biomedical signals, but there is a need to understand the relationshi...

  • Article
  • Open Access
14 Citations
7,925 Views
13 Pages

Food Selectivity in Children with Autism Spectrum Disorder: A Statistical Analysis in Southern Italy

  • Angela Alibrandi,
  • Agata Zirilli,
  • Federica Loschiavo,
  • Maria Cristina Gangemi,
  • Alessandro Sindoni,
  • Graziella Tribulato,
  • Roberto Lo Giudice and
  • Fausto Famà

14 September 2023

This paper focuses on autism spectrum disorder (ASD) and food selectivity, both of which are prevalent in the pediatric population. In this context, the authors paid attention to food selectivity and its possible correlation with the atypicality of s...

  • Article
  • Open Access
31 Citations
4,687 Views
22 Pages

Early Detection of Sage (Salvia officinalis L.) Responses to Ozone Using Reflectance Spectroscopy

  • Alessandra Marchica,
  • Silvia Loré,
  • Lorenzo Cotrozzi,
  • Giacomo Lorenzini,
  • Cristina Nali,
  • Elisa Pellegrini and
  • Damiano Remorini

12 September 2019

Advancements in techniques to rapidly and non-destructively detect the impact of tropospheric ozone (O3) on crops are required. This study demonstrates the capability of full-range (350–2500 nm) reflectance spectroscopy to characterize response...

  • Article
  • Open Access
43 Citations
4,413 Views
10 Pages

Accuracy of Edentulous Computer-Aided Implant Surgery as Compared to Virtual Planning: A Retrospective Multicenter Study

  • R. Vinci,
  • M. Manacorda,
  • R. Abundo,
  • A.G. Lucchina,
  • A. Scarano,
  • C. Crocetta,
  • L. Lo Muzio,
  • E.F. Gherlone and
  • F. Mastrangelo

12 March 2020

Purpose: To evaluate the accuracy of computer-aided dental implant positions obtained with mucosal-supported templates as compared to Three-Dimensional (3D) planning. Materials and methods: One-hundred implants were inserted into 14 edentulous patien...

  • Review
  • Open Access
27 Citations
7,796 Views
18 Pages

31 January 2021

Cyclic adenosine monophosphate (cAMP) plays a key role in signal transduction pathways as a second messenger. Studies on the cAMP dynamics provided useful scientific insights for drug development and treatment of cAMP-related diseases such as some ca...

  • Article
  • Open Access
3 Citations
5,706 Views
21 Pages

6 December 2021

Grossversuch IV is a large and well documented experiment on hail suppression by silver iodide seeding. The original 1986 evaluation remained vague, although indicating a tendency to increase hail when seeding. The strategy to deal with distributions...

  • Article
  • Open Access
5 Citations
2,853 Views
48 Pages

25 December 2019

In this article, we introduce new generators of a permuting n-derivations to improve and increase the action of usual derivation. We produce a permuting n-generalized semiderivation, a permuting n-semigeneralized semiderivation, a permuting n-antisem...

  • Article
  • Open Access
3 Citations
2,619 Views
15 Pages

26 August 2020

In this paper, we show how the longest non-decreasing subsequence, identified in the graph of the paired marginal ranks of the observations, allows the construction of a statistic for the development of an independence test in bivariate vectors. The...

  • Article
  • Open Access
36 Citations
8,156 Views
13 Pages

A Novel Algorithm of Constructing Highly Nonlinear S-p-boxes

  • Yasir Naseer,
  • Tariq Shah,
  • Dawood Shah and
  • Sadam Hussain

The role of substitution boxes is very important in block ciphers. Substitution boxes are utilized to create confusion in the cryptosystem. However, to create both confusion and diffusion in any cryptosystem p-boxes and chaos base substitution boxes...

  • Article
  • Open Access
1,772 Views
8 Pages

Trivial and Nontrivial Eigenvectors for Latin Squares in Max-Plus Algebra

  • Fazal Abbas,
  • Mubasher Umer,
  • Umar Hayat and
  • Ikram Ullah

27 May 2022

A square array whose all rows and columns are different permutations of the same length over the same symbol set is known as a Latin square. A Latin square may or may not be symmetric. For classification and enumeration purposes, symmetric, non-symme...

  • Article
  • Open Access
4 Citations
8,351 Views
27 Pages

Non-Crystallographic Symmetry in Packing Spaces

  • Valery G. Rau,
  • Leonty A. Lomtev and
  • Tamara F. Rau

9 January 2013

In the following, isomorphism of an arbitrary finite group of symmetry, non-crystallographic symmetry (quaternion groups, Pauli matrices groups, and other abstract subgroups), in addition to the permutation group, are considered. Application of fini...

  • Article
  • Open Access
119 Views
28 Pages

Symmetric cryptography is essential for secure communication as it ensures confidentiality by using shared secret keys. This paper proposes a novel substitution-permutation network (SPN) that integrates Latin squares, permutations, and Reed-Muller (R...

  • Article
  • Open Access
1 Citations
5,785 Views
32 Pages

New large classes of permutations over ℤ 2 n based on T-Functions as Self-Inverting Permutation Functions (SIPFs) are presented. The presented classes exhibit negligible or low complexity when implemented in emerging FPGA technologies....

  • Article
  • Open Access
267 Views
28 Pages

4 October 2025

In this paper, we propose a formulation of the permutation flow and job shop scheduling problems using special recursive functions and show its equivalence to the existing classical formulation. Equivalence is understood in the sense that both ways o...

  • Article
  • Open Access
65 Citations
8,015 Views
20 Pages

18 July 2018

Recently, to conquer most non-plain related chaos-based image cryptosystems’ security flaws that cannot resist the powerful chosen/knownn plain-text attacks or differential attacks efficiently for less plaintext sensitivity, many plain related...

  • Article
  • Open Access
2 Citations
2,432 Views
16 Pages

Generalized Permutants and Graph GENEOs

  • Faraz Ahmad,
  • Massimo Ferri and
  • Patrizio Frosini

9 December 2023

This paper is part of a line of research devoted to developing a compositional and geometric theory of Group Equivariant Non-Expansive Operators (GENEOs) for Geometric Deep Learning. It has two objectives. The first objective is to generalize the not...

  • Article
  • Open Access
6 Citations
2,010 Views
18 Pages

In this study, time-delayed stochastic dynamical systems of linear and nonlinear equations are discussed. The existence and uniqueness of the stochastic semilinear time-delay system in finite dimensional space is investigated. Introducing the delay G...

  • Article
  • Open Access
10 Citations
3,075 Views
13 Pages

7 August 2023

Entropy quantification approaches have gained considerable attention in engineering applications. However, certain limitations persist, including the strong dependence on parameter selection, limited discriminating power, and low robustness to noise....

  • Article
  • Open Access
1 Citations
1,062 Views
14 Pages

Dynamic Injection and Permutation Coding for Enhanced Data Transmission

  • Kehinde Ogunyanda,
  • Opeyemi O. Ogunyanda and
  • Thokozani Shongwe

13 August 2024

In this paper, we propose a novel approach to enhance spectral efficiency in communication systems by dynamically adjusting the mapping between cyclic permutation coding (CPC) and its injected form. By monitoring channel conditions such as interferen...

  • Article
  • Open Access
3 Citations
2,536 Views
44 Pages

22 March 2023

Recently, convolutional neural networks (CNNs) have become the main drivers in many image recognition applications. However, they are vulnerable to adversarial attacks, which can lead to disastrous consequences. This paper introduces ShuffleDetect as...

  • Article
  • Open Access
1 Citations
2,875 Views
21 Pages

This research work addresses the integrated scheduling of jobs and flexible (non-systematic) maintenance interventions in permutation flowshop production systems. We propose a coordinated model in which the time intervals between successive maintenan...

  • Article
  • Open Access
7 Citations
1,752 Views
19 Pages

Research on a Fault Diagnosis Method for Crankshafts Based on Improved Multi-Scale Permutation Entropy

  • Fengfeng Bie,
  • Yu Shu,
  • Fengxia Lyu,
  • Xuedong Liu,
  • Yi Lu,
  • Qianqian Li,
  • Hanyang Zhang and
  • Xueping Ding

23 January 2024

As the crucial part of a transmission assembly, the monitoring of the status of the crankshaft is essential for the normal working of a reciprocating machinery system. In consideration of the interaction between crankshaft system components, the faul...

  • Feature Paper
  • Article
  • Open Access
20 Citations
6,533 Views
19 Pages

Characterizing Normal and Pathological Gait through Permutation Entropy

  • Massimiliano Zanin,
  • David Gómez-Andrés,
  • Irene Pulido-Valdeolivas,
  • Juan Andrés Martín-Gonzalo,
  • Javier López-López,
  • Samuel Ignacio Pascual-Pascual and
  • Estrella Rausell

19 January 2018

Cerebral palsy is a physical impairment stemming from a brain lesion at perinatal time, most of the time resulting in gait abnormalities: the first cause of severe disability in childhood. Gait study, and instrumental gait analysis in particular, has...

  • Article
  • Open Access
35 Citations
4,498 Views
17 Pages

29 June 2021

This paper analyses the complexity of electroencephalogram (EEG) signals in different temporal scales for the analysis and classification of focal and non-focal EEG signals. Futures from an original multiscale permutation Lempel–Ziv complexity measur...

  • Article
  • Open Access
9 Citations
2,165 Views
12 Pages

Research on Twin Extreme Learning Fault Diagnosis Method Based on Multi-Scale Weighted Permutation Entropy

  • Xuyi Yuan,
  • Yugang Fan,
  • Chengjiang Zhou,
  • Xiaodong Wang and
  • Guanghui Zhang

24 August 2022

Due to the complicated engineering operation of the check valve in a high−pressure diaphragm pump, its vibration signal tends to show non−stationary and non−linear characteristics. These leads to difficulty extracting fault features...

  • Article
  • Open Access
31 Citations
5,779 Views
11 Pages

26 February 2018

This study’s aim was to apply permutation entropy (PE) and permutation min-entropy (PME) over an RR interval time series to quantify the changes in cardiac activity among multiple emotional states. Electrocardiogram (ECG) signals were recorded under...

  • Article
  • Open Access
31 Citations
3,776 Views
16 Pages

Composite Multivariate Multi-Scale Permutation Entropy and Laplacian Score Based Fault Diagnosis of Rolling Bearing

  • Wanming Ying,
  • Jinyu Tong,
  • Zhilin Dong,
  • Haiyang Pan,
  • Qingyun Liu and
  • Jinde Zheng

21 January 2022

As a powerful tool for measuring complexity and randomness, multivariate multi-scale permutation entropy (MMPE) has been widely applied to the feature representation and extraction of multi-channel signals. However, MMPE still has some intrinsic shor...

  • Article
  • Open Access
172 Citations
10,733 Views
23 Pages

27 July 2015

The dynamics of brain area influenced by focal epilepsy can be studied using focal and non-focal electroencephalogram (EEG) signals. This paper presents a new method to detect focal and non-focal EEG signals based on an integrated index, termed the f...

  • Article
  • Open Access
24 Citations
3,685 Views
17 Pages

On a Symmetric Image Encryption Algorithm Based on the Peculiarity of Plaintext DNA Coding

  • Yulan Kang,
  • Linqing Huang,
  • Yan He,
  • Xiaoming Xiong,
  • Shuting Cai and
  • Haiyu Zhang

21 August 2020

Many plaintext-related or non-plaintext-related image encryption algorithms based on chaotic systems have been found inefficient and insecure under chosen plaintext attacks. In this paper, a novel plaintext-related mechanism based on the peculiarity...

  • Article
  • Open Access
8 Citations
2,225 Views
19 Pages

Tool Wear State Identification Based on the IWOA-VMD Feature Selection Method

  • Xing Shui,
  • Zhijun Rong,
  • Binbin Dan,
  • Qiangjian He and
  • Xin Yang

12 March 2024

Complex, thin-walled components are the most important load-bearing structures in aircraft equipment. Monitoring the wear status of milling cutters is critical for enhancing the precision and efficiency of thin-walled item machining. The cutting forc...

  • Article
  • Open Access
12 Citations
4,467 Views
26 Pages

21 November 2023

The permutation flow-shop scheduling problem is a classical problem in scheduling that aims at identifying the optimal sequence of jobs that should be processed in a number of machines in an effort to minimize makespan or some other performance crite...

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