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Mathematics, Volume 11, Issue 15

2023 August-1 - 179 articles

Cover Story: Deep-learning-based side-channel analysis has led to highly efficient attacks on cryptographic implementations. Research prioritizes multilayer perceptron or convolutional neural networks, often optimized through intensive hyperparameter tuning methods like Bayesian optimization. As countermeasures evolve, more sophisticated strategies are needed. This study investigates residual neural networks (ResNets) for side-channel analysis, developing deeper models for larger inputs with reduced tuning efforts. These architectures surpass the typical depth in this field, demanding less parameter adjustments for specific data, and offering competitive performance with the state of the art. The results highlight ResNets' efficacy with large profiling traces and number of features. View this paper
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Articles (179)

  • Article
  • Open Access
10 Citations
4,736 Views
19 Pages

7 August 2023

In this article, a hybrid powertrain for the Volkswagen (VW) Crafter is designed using the Model-In-The-Loop (MIL) method. An enhanced Proportional-Integral (PI) control technique based on integral cost functions is developed by carrying out a time-b...

(This article belongs to the Special Issue Dynamics and Control Theory with Applications)
  • Article
  • Open Access
8 Citations
1,969 Views
17 Pages

7 August 2023

In this manuscript, we give sufficient conditions for a sequence to be Cauchy in the context of controlled fuzzy metric space. Furthermore, we generalize the concept of Banach’s contraction principle by utilizing several new contraction conditi...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications II)
  • Article
  • Open Access
12 Citations
2,447 Views
28 Pages

7 August 2023

Jammers emit strong intentional jamming signals aiming to limit or block legitimate communications. The distribution of jammers, whether in non-clustered or clustered form, significantly influences the performance of vehicle-to-everything (V2X) netwo...

  • Feature Paper
  • Article
  • Open Access
4 Citations
2,721 Views
22 Pages

7 August 2023

In this paper, we propose clustering methods for use on data described as tropically convex. Our approach is similar to clustering methods used in the Euclidean space, where we identify groupings of similar observations using tropical analogs of K-me...

(This article belongs to the Section B: Geometry and Topology)
  • Article
  • Open Access
3 Citations
1,930 Views
14 Pages

Inverse Problem for a Fourth-Order Hyperbolic Equation with a Complex-Valued Coefficient

  • Asselkhan Imanbetova,
  • Abdissalam Sarsenbi and
  • Bolat Seilbekov

7 August 2023

This paper studies the existence and uniqueness of the classical solution of inverse problems for a fourth-order hyperbolic equation with a complex-valued coefficient with Dirichlet and Neumann boundary conditions. Using the method of separation of v...

(This article belongs to the Special Issue Mathematical Analysis and Functional Analysis and Their Applications)
  • Article
  • Open Access
5 Citations
2,084 Views
17 Pages

7 August 2023

This paper tackles the saturation and fault-tolerant attitude tracking problem without unwinding for rigid spacecraft with external disturbances and partial loss of actuator effectiveness faults. A hybrid saturation and fault-tolerant attitude contro...

(This article belongs to the Special Issue Advanced Guidance and Control of Flight Vehicle: Theory and Application)
  • Article
  • Open Access
2 Citations
2,114 Views
13 Pages

Investigation of the Product of Random Matrices and Related Evolution Models

  • Hirobumi Mineo,
  • Vladimir Suvorov and
  • David B. Saakian

7 August 2023

In this paper, we study the phase structure of the product of D * D order matrices. In each round, we randomly choose a matrix from a finite set of d matrices and multiply it with the product from the previous round. Initially, we derived a functiona...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
1,731 Views
11 Pages

7 August 2023

In previous papers of the authors, a generalized evolutionary approach was developed for the analysis of popular inspection and corruption games. Namely, a two-level hierarchy was studied, where a local inspector I of a pool of agents (that may break...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
23 Citations
2,882 Views
12 Pages

7 August 2023

We present a family of hypersurfaces of revolution distinguished by four parameters in the five-dimensional pseudo-Euclidean space E25. The matrices corresponding to the fundamental form, Gauss map, and shape operator of this family are computed. By...

(This article belongs to the Special Issue Advances in Differential Geometry and Its Applications)
  • Article
  • Open Access
1,894 Views
10 Pages

7 August 2023

This paper concerns the development of a machine learning tool to detect anomalies in the molecular structure of Gallium Arsenide. We employ a combination of a CNN and a PCA reconstruction to create the model, using real images taken with an electron...

(This article belongs to the Special Issue Applied Mathematics and Machine Learning)
  • Article
  • Open Access
3 Citations
2,232 Views
16 Pages

7 August 2023

This study presents a computationally efficient maximum likelihood (ML) algorithm for estimating the carrier frequency offset (CFO) of generalized frequency division multiplexing systems. The proposed algorithm uses repetitive subsymbols and virtual...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Editorial
  • Open Access
1,288 Views
3 Pages

7 August 2023

This work contains the accepted papers of a Special Issue of the MDPI journal Mathematics entitled “Hypergroup Theory and Algebrization of Incidence Structure” [...]

(This article belongs to the Special Issue Hypergroup Theory and Algebrization of Incidence Structures)
  • Article
  • Open Access
11 Citations
5,296 Views
22 Pages

7 August 2023

This article presents an overview of methodologies for spatial prediction of functional data, focusing on both stationary and non-stationary conditions. A significant aspect of the functional random fields analysis is evaluating stationarity to chara...

  • Review
  • Open Access
30 Citations
9,407 Views
18 Pages

6 August 2023

Quantum computing, an emerging paradigm based on the principles of quantum mechanics, has the potential to revolutionise various industries, including Telecommunications. This paper explores the transformative impact of quantum computing on the telec...

(This article belongs to the Special Issue Advances in Quantum Computing and Applications)
  • Article
  • Open Access
2 Citations
1,652 Views
17 Pages

6 August 2023

A problem from a class of unsteady plane potential flows with a free boundary is considered. The entire boundary occupied by the liquid is free, and a zero pressure is maintained. There are neither external nor capillary forces. The motion is driven...

(This article belongs to the Special Issue Numerical and Analytical Study of Fluid Dynamics)
  • Article
  • Open Access
2 Citations
3,125 Views
16 Pages

6 August 2023

This paper proposes two novel methods for computing the robustly controlled invariant set of linear discrete-time systems with additive bounded disturbances. In the proposed methods, the robustly controlled invariant set of discrete-time systems is o...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
5 Citations
3,931 Views
20 Pages

Differential Properties of Jacobi-Sobolev Polynomials and Electrostatic Interpretation

  • Héctor Pijeira-Cabrera,
  • Javier Quintero-Roba and
  • Juan Toribio-Milane

6 August 2023

We study the sequence of monic polynomials {Sn}n⩾0, orthogonal with respect to the Jacobi-Sobolev inner product ⟨f,g⟩s=∫−11f(x)g(x)dμα,β(x)+∑j=1N∑k=0djλj,kf(k)(cj)g(k)(cj), where N,dj∈Z...

(This article belongs to the Special Issue Orthogonal Polynomials and Special Functions: Recent Trends and Their Applications)
  • Article
  • Open Access
3 Citations
2,201 Views
10 Pages

6 August 2023

When we apply comparative phylogenetic analyses to genome data, it poses a significant problem and challenge that some of the given species (or taxa) often have missing genes (i.e., data). In such a case, we have to impute a missing part of a gene tr...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
1 Citations
3,106 Views
22 Pages

5 August 2023

Recent advanced systems in the speech recognition domain use large Transformer neural networks that have been pretrained on massive speech data. General methods in the deep learning area have been frequently shared across various domains, and the Tra...

(This article belongs to the Special Issue Computational Intelligence and Human–Computer Interaction: Modern Methods and Applications, 2nd Edition)
  • Article
  • Open Access
4 Citations
3,584 Views
24 Pages

5 August 2023

Several industries are facing many challenges in their production systems due to increasing customer demand. Customer demand is growing for products with innovative features that are flexible, good quality, and appealing. This paper presents a flexib...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
1 Citations
1,861 Views
16 Pages

5 August 2023

Depending on the connection type, especially semi-rigid connections, the analyses of building structures offer accurate results function of the rigidity and ductility. The present paper analyzes the in-line connection of rectangular and circular holl...

(This article belongs to the Special Issue Numerical and Computational Methods in Structural Engineering and Mechanics)
  • Article
  • Open Access
1 Citations
2,348 Views
18 Pages

5 August 2023

This paper studies the dynamically optimal consumption, investment and life-insurance strategies for a wage earners under inside information and inflation. Assume that the wage earner can invest in a risk-free asset, a risky asset and an inflation-in...

(This article belongs to the Special Issue Dynamic Modeling and Simulation for Control Systems, 2nd Edition)
  • Article
  • Open Access
2 Citations
1,801 Views
17 Pages

4 August 2023

The aim of this paper is to focus on a fuzzy metric called Deng’s metric in [0,1]-topology. Firstly, we will extend the domain of this metric function from M0×M0 to M×M, where M0 and M are defined as the sets of all special fuzzy po...

  • Article
  • Open Access
6 Citations
2,914 Views
30 Pages

Dynamic Generation Method of Highway ETC Gantry Topology Based on LightGBM

  • Fumin Zou,
  • Weihai Wang,
  • Qiqin Cai,
  • Feng Guo and
  • Rouyue Shi

4 August 2023

In Electronic Toll Collection (ETC) systems, accurate gantry topology data are crucial for fair and efficient toll collection. Currently, inaccuracies in the topology data can cause tolls to be based on the shortest route rather than the actual dista...

(This article belongs to the Special Issue Applied Statistical Modeling and Data Mining)
  • Article
  • Open Access
14 Citations
10,419 Views
26 Pages

4 August 2023

The aim of this study was to investigate the financial sustainability of retail food SMEs for the 2016–2021 period, in Romania, from the perspective of financial equilibrium and performance. A multivariate analysis was used, including a correla...

(This article belongs to the Special Issue Statistical Methods of Analyzing Financial Equilibrium, Performance and Risk)
  • Article
  • Open Access
2 Citations
2,868 Views
26 Pages

A New Instrumental-Type Estimator for Quantile Regression Models

  • Li Tao,
  • Lingnan Tai,
  • Manling Qian and
  • Maozai Tian

4 August 2023

This paper proposes a new instrumental-type estimator of quantile regression models for panel data with fixed effects. The estimator is built upon the minimum distance, which is defined as the weighted average of the conventional individual instrumen...

(This article belongs to the Special Issue Statistical Analysis: Theory, Methods and Applications)
  • Article
  • Open Access
6 Citations
5,183 Views
20 Pages

4 August 2023

The Laney p′ control chart is a new type of attribute control chart that can be applied in situations where the process exhibits either overdispersion or underdispersion. While it has gained acceptance in the industry, there is still limited kn...

(This article belongs to the Special Issue Statistical Process Control and Application)
  • Article
  • Open Access
8 Citations
1,768 Views
16 Pages

Numerical Investigation for Nonlinear Thermal Radiation in MHD Cu–Water Nanofluid Flow in a Channel with Convective Boundary Conditions

  • Tunde Abdulkadir Yusuf,
  • Adeshina Taofeeq Adeosun,
  • Victor Olajide Akinsola,
  • Ramoshweu Solomon Lebelo and
  • Oluwadamilare Joseph Akinremi

4 August 2023

The implications of nonlinear thermal radiation on a Cu–water nanofluid flow with varying viscosity characteristics and convective boundary conditions are investigated numerically in this article. The nonlinear model takes the combined effects...

  • Article
  • Open Access
8 Citations
1,490 Views
11 Pages

4 August 2023

In this article, we investigate some fixed-point results under certain functional contractive mappings in a relation metric space. In the process, we utilize more general contraction condition which must be verified for comparative elements only. Our...

  • Article
  • Open Access
2 Citations
3,242 Views
17 Pages

Edge-Based Minimal k-Core Subgraph Search

  • Ting Wang,
  • Yu Jiang,
  • Jianye Yang and
  • Lei Xing

4 August 2023

In social networks, k-core is commonly used to measure the stability of a network. When a user in a k-core leaves the network, other users may follow the user to leave. Hence, maintaining a key user is important to keep the stability of a network. It...

(This article belongs to the Special Issue Graph Theory: Advanced Algorithms and Applications)
  • Article
  • Open Access
35 Citations
8,883 Views
27 Pages

4 August 2023

In the Design of Experiments, we seek to relate response variables to explanatory factors. Response Surface methodology (RSM) approximates the relation between output variables and a polynomial transform of the explanatory variables using a linear mo...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
3 Citations
1,690 Views
13 Pages

The Homology of Warped Product Submanifolds of Spheres and Their Applications

  • Lamia Saeed Alqahtani,
  • Akram Ali,
  • Pişcoran Laurian-Ioan and
  • Ali H. Alkhaldi

4 August 2023

The aim of the current article is to formulate sufficient conditions for the Laplacian and a gradient of the warping function of a compact warped product submanifold Σβ1+β2 in a unit sphere Sd that provides trivial homology and fundam...

(This article belongs to the Special Issue Differential Geometry: Structures on Manifolds and Submanifolds)
  • Article
  • Open Access
1,927 Views
12 Pages

4 August 2023

BCube is one of the main data center networks because it has many attractive features. In practical applications, the failure of components or physical connections is inevitable. In data center networks in particular, switch failures are unavoidable....

(This article belongs to the Special Issue Advances of Computer Algorithms and Data Structures)
  • Article
  • Open Access
4 Citations
2,296 Views
21 Pages

A Derivative-Incorporated Adaptive Gradient Method for Federated Learning

  • Huimin Gao,
  • Qingtao Wu,
  • Hongyan Cao,
  • Xuhui Zhao,
  • Junlong Zhu and
  • Mingchuan Zhang

4 August 2023

As a new machine learning technique, federated learning has received more attention in recent years, which enables decentralized model training across data silos or edge intelligent devices in the Internet of Things without exchanging local raw data....

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Editorial
  • Open Access
1,521 Views
7 Pages

4 August 2023

This editorial text is a short introductory guide to the book edition of the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms”, which was published in...

(This article belongs to the Special Issue Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms)
  • Article
  • Open Access
25 Citations
4,503 Views
15 Pages

4 August 2023

Predicting lithium-ion batteries’ state of charge (SOC) is essential to electric vehicle battery management systems. Traditional lithium-ion battery models mainly include equivalent circuit models (ECMs) and electrochemical models (EMs). ECMs a...

(This article belongs to the Special Issue Mathematical Modelling for Solving Engineering Problems)
  • Article
  • Open Access
47 Citations
7,411 Views
19 Pages

3 August 2023

Recently, the identification of human text and ChatGPT-generated text has become a hot research topic. The current study presents a Tunicate Swarm Algorithm with Long Short-Term Memory Recurrent Neural Network (TSA-LSTMRNN) model to detect both human...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
6 Citations
2,165 Views
15 Pages

Dynamics of Benjamin–Ono Solitons in a Two-Layer Ocean with a Shear Flow

  • Pawan Negi,
  • Trilochan Sahoo,
  • Niharika Singh and
  • Yury Stepanyants

3 August 2023

The results of a theoretical study on Benjamin–Ono (BO) soliton evolution are presented in a simple model of a two-layer ocean with a shear flow and viscosity. The upper layer is assumed to move with a constant speed relative to the lower layer...

(This article belongs to the Special Issue Theoretical Research and Computational Applications in Fluid Dynamics)
  • Article
  • Open Access
28 Citations
5,488 Views
14 Pages

3 August 2023

In this paper, we propose an outlier-detection algorithm for detecting network traffic anomalies based on a clustering algorithm and an autoencoder model. The BIRCH clustering algorithm is employed as the pre-algorithm of the autoencoder to pre-class...

(This article belongs to the Special Issue Artificial Intelligence and Machine Learning Based Methods and Applications)
  • Article
  • Open Access
18 Citations
3,046 Views
18 Pages

Deep Convolutional and Recurrent Neural-Network-Based Optimal Decoding for RIS-Assisted MIMO Communication

  • Md Habibur Rahman,
  • Mohammad Abrar Shakil Sejan,
  • Md Abdul Aziz,
  • Dong-Sun Kim,
  • Young-Hwan You and
  • Hyoung-Kyu Song

3 August 2023

The reconfigurable intelligent surface (RIS) is one of the most innovative and revolutionary technologies for increasing the effectiveness of wireless systems. Deep learning (DL) is a promising method that can enhance system efficacy using powerful t...

(This article belongs to the Special Issue Advanced Algorithms in Wireless Communication and Internet of Things (IoT))
  • Article
  • Open Access
19 Citations
2,434 Views
16 Pages

3 August 2023

Feature selection is a widely utilized technique in educational data mining that aims to simplify and reduce the computational burden associated with data analysis. However, previous studies have overlooked the high costs involved in acquiring certai...

(This article belongs to the Special Issue Evolutionary Computation 2022)
  • Article
  • Open Access
13 Citations
2,546 Views
11 Pages

New (3+1)-Dimensional Kadomtsev–Petviashvili–Sawada– Kotera–Ramani Equation: Multiple-Soliton and Lump Solutions

  • Abdul-Majid Wazwaz,
  • Ma’mon Abu Hammad,
  • Ali O. Al-Ghamdi,
  • Mansoor H. Alshehri and
  • Samir A. El-Tantawy

3 August 2023

In this investigation, a novel (3+1)-dimensional Lax integrable Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation is constructed and analyzed analytically. The Painlevé integrability for the mentioned model is examin...

(This article belongs to the Special Issue Exact Solutions and Numerical Solutions of Differential Equations)
  • Article
  • Open Access
3 Citations
2,323 Views
13 Pages

3 August 2023

Learning novel classes with a few samples per class is a very challenging task in deep learning. To mitigate this issue, previous studies have utilized an additional dataset with extensively labeled samples to realize transfer learning. Alternatively...

(This article belongs to the Special Issue Advances in Applied Mathematics in Computer Vision)
  • Article
  • Open Access
2 Citations
1,643 Views
14 Pages

3 August 2023

The reliability of large-scale networks can be compromised by various factors such as natural disasters, human-induced incidents such as hacker attacks, bomb attacks, or even meteorite impacts, which can lead to failures in scope of processors or lin...

(This article belongs to the Special Issue Graph Theory: Advanced Algorithms and Applications)
  • Article
  • Open Access
14 Citations
3,150 Views
11 Pages

Graph Convolutional-Based Deep Residual Modeling for Rumor Detection on Social Media

  • Na Ye,
  • Dingguo Yu,
  • Yijie Zhou,
  • Ke-ke Shang and
  • Suiyu Zhang

3 August 2023

The popularity and development of social media have made it more and more convenient to spread rumors, and it has become especially important to detect rumors in massive amounts of information. Most of the traditional rumor detection methods use the...

(This article belongs to the Special Issue Applied Mathematics and Machine Learning)
  • Article
  • Open Access
5 Citations
2,020 Views
18 Pages

3 August 2023

Dongba scripture sentence segmentation is an important and basic work in the digitization and machine translation of Dongba scripture. Dongba scripture sentence segmentation line detection (DS-SSLD) as a core technology of Dongba scripture sentence s...

(This article belongs to the Special Issue Advances in Applied Mathematics in Computer Vision)
  • Article
  • Open Access
12 Citations
5,363 Views
17 Pages

Model-Based Optimization Approach for PID Control of Pitch–Roll UAV Orientation

  • Orlando Arrieta,
  • Daniel Campos,
  • Javier Rico-Azagra,
  • Montserrat Gil-Martínez,
  • José D. Rojas and
  • Ramon Vilanova

3 August 2023

This study focuses on the modeling and control optimization of the pitch–roll angles orientation in a quad-rotor UAV (unmanned aerial vehicle) drone system. To address the control challenge, PID (proportional–integral–derivative) co...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
7 Citations
3,337 Views
20 Pages

3 August 2023

The purpose of this study is to introduce the Hoek–Brown nonlinear failure criterion into the convergence–confinement method (CCM), which is based on the linear failure criterion, and implant it into the ground reaction curve (GRC) in thi...

(This article belongs to the Special Issue Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering)
  • Article
  • Open Access
3 Citations
2,067 Views
15 Pages

2 August 2023

In this paper, we consider general Markov chains with discrete time in an arbitrary measurable (phase) space. Markov chains are given by a classical transition function that generates a pair of conjugate linear Markov operators in a Banach space of m...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
2 Citations
1,435 Views
17 Pages

2 August 2023

In this paper, we use qa- and qb-integrals to establish some quantum Hermite–Hadamard–Fejér-type inequalities for η-convex functions. By taking q→1, our results reduce to classical results on Hermite–Hadamard–F...

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Mathematics - ISSN 2227-7390