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Mathematics, Volume 11, Issue 3

2023 February-1 - 297 articles

Cover Story: The most popular group of unsupervised machine learning methods is clustering methods. The main goal of clustering is to find hidden relationships between observations. Sometimes, to use clustering methods, the initial data are so large that it becomes difficult. To implement this, one of the ways is to use data dimensionality reduction and include them in the clustering method. This paper presents the extension to the clustering method based on the modified inversion formula density estimation to solve previous method limitations. This new method’s extension works within higher-dimension (d > 15) cases, which was the limitation of the previous method. The new modification method has better results than the standard method in all cases, which confirmed the hypothesis about the new method’s positive impact on clustering results. View this paper
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Articles (297)

  • Article
  • Open Access
5 Citations
2,400 Views
17 Pages

3 February 2023

This research investigates the stabilization and control of an uncertain Euler–Bernoulli nano-beam with fixed ends. The governing partial differential equations of motion for the nano-beam are derived using Hamilton’s principle and the no...

  • Article
  • Open Access
6 Citations
2,219 Views
16 Pages

3 February 2023

This paper investigates adaptive output feedback control problem for switched uncertain nonlinear systems with input quantization, unmeasured system states and state constraints. Firstly, fuzzy logic systems are introduced to identify system uncertai...

  • Review
  • Open Access
21 Citations
16,108 Views
34 Pages

Student Engagement with Technology-Enhanced Resources in Mathematics in Higher Education: A Review

  • Caitríona Ní Shé,
  • Eabhnat Ní Fhloinn and
  • Ciarán Mac an Bhaird

3 February 2023

The effectiveness of technology-enhanced resources in mathematics in higher education is far from clear, nor is student engagement with such resources. In this review article, we investigate the existing literature in three interrelated areas: studen...

  • Article
  • Open Access
3 Citations
3,530 Views
29 Pages

3 February 2023

This paper presents the results of an exploration of the most resilient influences determining the attitude regarding prioritizing co-nationals over immigrants for access to employment. The source data were from the World Values Survey. After many se...

  • Article
  • Open Access
3 Citations
3,028 Views
25 Pages

Semi-Supervised Multi-Label Dimensionality Reduction Learning by Instance and Label Correlations

  • Runxin Li,
  • Jiaxing Du,
  • Jiaman Ding,
  • Lianyin Jia,
  • Yinong Chen and
  • Zhenhong Shang

3 February 2023

The label learning mechanism is challenging to integrate into the training model of the multi-label feature space dimensionality reduction problem, making the current multi-label dimensionality reduction methods primarily supervision modes. Many meth...

  • Article
  • Open Access
4 Citations
2,710 Views
19 Pages

3 February 2023

Recently, high dynamic range (HDR) imaging has been used in many fields such as display, computer graphics, and digital cameras. Various tone mapping operators (TMOs) are used for effective HDR imaging. TMOs aim to express HDR images without loss of...

  • Article
  • Open Access
7 Citations
3,149 Views
18 Pages

3 February 2023

The epidemic caused by the coronavirus infection SARS-CoV-2 at the beginning of 2022 affected approximately 500 million people in all countries. The source of infection is the particles of the virus, which, when breathing, talking, and coughing, are...

  • Article
  • Open Access
1 Citations
2,286 Views
16 Pages

Market Demand Optimization Model Based on Information Perception Control

  • Guanghui Yuan,
  • Zhiqiang Liu,
  • Yaqiong Wang and
  • Dongping Pu

3 February 2023

The development of Internet technology and the rise of social networks have expanded the means of product information dissemination. Nowadays, consumers can obtain not only product quality information through real life contacts, but can also obtain p...

  • Article
  • Open Access
6 Citations
2,934 Views
20 Pages

Characteristic, C-Characteristic and Positive Cones in Hyperfields

  • Dawid Edmund Kędzierski,
  • Alessandro Linzi and
  • Hanna Stojałowska

3 February 2023

We study the notions of the positive cone, characteristic and C-characteristic in (Krasner) hyperfields. We demonstrate how these interact in order to produce interesting results in the theory of hyperfields. For instance, we provide a criterion for...

  • Article
  • Open Access
3 Citations
2,788 Views
12 Pages

3 February 2023

Gate machines, such as ticket gates in stations and secure gates in office buildings, are very common in people’s daily lives. On the one hand, the passage between the gates is not wide enough for pedestrians to pass through, which may affect t...

  • Article
  • Open Access
15 Citations
3,759 Views
15 Pages

Training Multilayer Neural Network Based on Optimal Control Theory for Limited Computational Resources

  • Ali Najem Alkawaz,
  • Jeevan Kanesan,
  • Anis Salwa Mohd Khairuddin,
  • Irfan Anjum Badruddin,
  • Sarfaraz Kamangar,
  • Mohamed Hussien,
  • Maughal Ahmed Ali Baig and
  • N. Ameer Ahammad

3 February 2023

Backpropagation (BP)-based gradient descent is the general approach to train a neural network with a multilayer perceptron. However, BP is inherently slow in learning, and it sometimes traps at local minima, mainly due to a constant learning rate. Th...

  • Article
  • Open Access
55 Citations
8,390 Views
24 Pages

Efficient Net-XGBoost: An Implementation for Facial Emotion Recognition Using Transfer Learning

  • Sudheer Babu Punuri,
  • Sanjay Kumar Kuanar,
  • Manjur Kolhar,
  • Tusar Kanti Mishra,
  • Abdalla Alameen,
  • Hitesh Mohapatra and
  • Soumya Ranjan Mishra

3 February 2023

Researchers are interested in Facial Emotion Recognition (FER) because it could be useful in many ways and has promising applications. The main task of FER is to identify and recognize the original facial expressions of users from digital inputs. Fea...

  • Article
  • Open Access
14 Citations
4,331 Views
16 Pages

Embedding Uncertain Temporal Knowledge Graphs

  • Tongxin Li,
  • Weiping Wang,
  • Xiaobo Li,
  • Tao Wang,
  • Xin Zhou and
  • Meigen Huang

3 February 2023

Knowledge graph (KG) embedding for predicting missing relation facts in incomplete knowledge graphs (KGs) has been widely explored. In addition to the benchmark triple structural information such as head entities, tail entities, and the relations bet...

  • Article
  • Open Access
15 Citations
2,810 Views
25 Pages

3 February 2023

The relative protective devices are cascaded in a proper sequence with a proper min/max coordination time margin (CTM) to minimize the outage area of the network in case of fault condition. This manuscript addresses a new methodology based on the gor...

  • Article
  • Open Access
2 Citations
2,171 Views
21 Pages

3 February 2023

The article is aimed at the mathematical and optimization modeling of technological processes of surface treatments, specifically the zincing process. In surface engineering, it is necessary to eliminate the risk that the resulting product quality wi...

  • Article
  • Open Access
1 Citations
2,675 Views
22 Pages

3 February 2023

Ensuring the rational use of limited space is a key function of government bodies at any level of power. Spatial development of the economy is modeled in the presented paper based on the concept of economic complexity. In addition to the innovative a...

  • Article
  • Open Access
4 Citations
10,583 Views
19 Pages

3 February 2023

Nowadays, people have started to spend more and more time using the Internet, which has a crucial impact on people’s lives. Individual personality type is often the main factor dictating the various behaviors that people carry out, and it domin...

  • Article
  • Open Access
12 Citations
2,187 Views
19 Pages

3 February 2023

In order to obtain the numerical results of 3D convection-diffusion-reaction problems with variable coefficients efficiently, we select the improved element-free Galerkin (IEFG) method instead of the traditional element-free Galerkin (EFG) method by...

  • Article
  • Open Access
5 Citations
8,647 Views
20 Pages

Improving Intent Classification Using Unlabeled Data from Large Corpora

  • Gabriel Bercaru,
  • Ciprian-Octavian Truică,
  • Costin-Gabriel Chiru and
  • Traian Rebedea

3 February 2023

Intent classification is a central component of a Natural Language Understanding (NLU) pipeline for conversational agents. The quality of such a component depends on the quality of the training data, however, for many conversational scenarios, the da...

  • Article
  • Open Access
12 Citations
2,926 Views
15 Pages

3 February 2023

When using machine learning methods to make predictions, the problem of small sample sizes or highly noisy observation samples is common. Current mainstream sample expansion methods cannot handle the data noise problem well. We propose a multipath sa...

  • Article
  • Open Access
73 Citations
4,895 Views
18 Pages

3 February 2023

Aiming at the problems of small key space and weak resistance to differential attacks in existing encryption algorithms, we proposed a chaotic digital image encryption scheme based on an optimized artificial fish swarm algorithm and DNA coding. First...

  • Article
  • Open Access
3 Citations
3,412 Views
33 Pages

3 February 2023

Lattice enumeration is a linear-space algorithm for solving the shortest lattice vector problem (SVP). Extreme pruning is a practical technique for accelerating lattice enumeration, which has a mature theoretical analysis and practical implementation...

  • Article
  • Open Access
3 Citations
1,946 Views
20 Pages

Design Efficiency of the Asymmetric Minimum Projection Uniform Designs

  • Qiming Bai,
  • Hongyi Li,
  • Shixian Zhang and
  • Jiezhong Tian

3 February 2023

Highly efficient designs and uniform designs are widely applied in many fields because of their good properties. The purpose of this paper is to study the issue of design efficiency for asymmetric minimum projection uniform designs. Based on the cent...

  • Article
  • Open Access
6 Citations
2,227 Views
19 Pages

2 February 2023

In this paper, we study a Yosida variational inclusion problem with its corresponding Yosida resolvent equation problem. We mention some schemes to solve both the problems, but we focus our study on discussing convergence criteria for the Yosida vari...

  • Article
  • Open Access
3 Citations
2,097 Views
25 Pages

2 February 2023

We consider the limit of the empirical spectral distribution of Laplace matrices of generalized random graphs. Applying the Stieltjes transform method, we prove under general conditions that the limit spectral distribution of Laplace matrices converg...

  • Article
  • Open Access
2,987 Views
15 Pages

A Conway–Maxwell–Poisson Type Generalization of Hypergeometric Distribution

  • Sudip Roy,
  • Ram C. Tripathi and
  • Narayanaswamy Balakrishnan

2 February 2023

The hypergeometric distribution has gained its importance in practice as it pertains to sampling without replacement from a finite population. It has been used to estimate the population size of rare species in ecology, discrete failure rate in relia...

  • Article
  • Open Access
6 Citations
3,122 Views
25 Pages

Design of Confidence-Integrated Denoising Auto-Encoder for Personalized Top-N Recommender Systems

  • Zeshan Aslam Khan,
  • Naveed Ishtiaq Chaudhary,
  • Waqar Ali Abbasi,
  • Sai Ho Ling and
  • Muhammad Asif Zahoor Raja

2 February 2023

A recommender system not only “gains users’ confidence” but also helps them in other ways, such as reducing their time spent and effort. To gain users’ confidence, one of the main goals of recommender systems in an e-commerce...

  • Article
  • Open Access
12 Citations
3,746 Views
20 Pages

5G Multi-Slices Bi-Level Resource Allocation by Reinforcement Learning

  • Zhipeng Yu,
  • Fangqing Gu,
  • Hailin Liu and
  • Yutao Lai

2 February 2023

As the centralized unit (CU)—distributed unit (DU) separation in the fifth generation mobile network (5G), the multi-slice and multi-scenario, can be better applied in wireless communication. The development of the 5G network to vertical indust...

  • Article
  • Open Access
10 Citations
3,624 Views
19 Pages

Bayesian Variable Selection in Generalized Extreme Value Regression: Modeling Annual Maximum Temperature

  • Jorge Castillo-Mateo,
  • Jesús Asín,
  • Ana C. Cebrián,
  • Jesús Mateo-Lázaro and
  • Jesús Abaurrea

2 February 2023

In many applications, interest focuses on assessing relationships between covariates and the extremes of the distribution of a continuous response. For example, in climate studies, a usual approach to assess climate change has been based on the analy...

  • Article
  • Open Access
2,351 Views
23 Pages

2 February 2023

We formulate a quasilinear parabolic equation describing the behavior of the global-in-time solution to a semilinear parabolic equation. We study this equation in accordance with the blow-up and quenching patterns of the solution to the original semi...

  • Article
  • Open Access
5 Citations
2,832 Views
27 Pages

2 February 2023

Testing for complex serial dependence in economic and financial time series is a crucial task that bears many practical implications. However, the linear paradigm remains pervasive among practitioners as the autocorrelation function, because, despite...

  • Article
  • Open Access
2 Citations
1,769 Views
19 Pages

2 February 2023

Let f(X1,X2,,Xk) be a matrix function over the field of complex numbers, where X1,X2,,Xk are a family of matrices with variable entries. The purpose of this paper is to propose and investigate the relationships between certain linear...

  • Article
  • Open Access
13 Citations
1,917 Views
27 Pages

2 February 2023

We have examined the magnetized stagnation point flow of non-Newtonian fluid towards an inclined cylindrical surface. The mixed convection, thermal radiation, viscous dissipation, heat generation, first-order chemical reaction, and temperature-depend...

  • Article
  • Open Access
5 Citations
1,855 Views
15 Pages

A Mode-Matching Tailored-Galerkin Approach for Higher Order Interface Conditions and Geometric Variations

  • Muhammad Afzal,
  • Naveed Akhtar,
  • Mohammed Omar Alkinidri and
  • Meshal Shutaywi

2 February 2023

The current study focuses on the modeling and analysis of acoustic scattering from an elastic membrane disc located in a cylindrical waveguide that may involve structural discontinuities. The physical problem is governed by Helmholtz’s equation...

  • Article
  • Open Access
3 Citations
2,038 Views
18 Pages

Efficient and Privacy-Preserving Categorization for Encrypted EMR

  • Zhiliang Zhao,
  • Shengke Zeng,
  • Shuai Cheng and
  • Fei Hao

2 February 2023

Electronic Health Records (EHRs) must be encrypted for patient privacy; however, an encrypted EHR is a challenge for the administrator to categorize. In addition, EHRs are predictable and possible to be guessed, although they are in encryption style....

  • Article
  • Open Access
3 Citations
1,336 Views
12 Pages

Joint Approximation of Analytic Functions by Shifts of Lerch Zeta-Functions

  • Antanas Laurinčikas,
  • Toma Mikalauskaitė and
  • Darius Šiaučiūnas

2 February 2023

In this paper, we consider the simultaneous approximation of tuples of analytic functions by tuples of shifts of Lerch zeta-functions with arbitrary parameters. We prove that there exists a closed set of tuples of functions analytic in the right-hand...

  • Article
  • Open Access
6 Citations
1,983 Views
20 Pages

2 February 2023

The effect of antiviral therapy during Hepatitis C Virus (HCV) infection is the focus of this study. HCV infection destroys healthy hepatocyte cells in the human liver, causing cirrhosis and hepatocellular carcinoma. We introduce a cell-population mo...

  • Article
  • Open Access
3 Citations
3,963 Views
12 Pages

Triple Designs: A Closer Look from Indicator Function

  • Zujun Ou,
  • Minghui Zhang and
  • Hongyi Li

2 February 2023

A method of tripling for a three-level design, which triples both the run size and the number of factors of the initial design, has been proposed for constructing a design that can accommodate a large number of factors by combining all possible level...

  • Article
  • Open Access
12 Citations
4,803 Views
15 Pages

2 February 2023

The COVID-19 pandemic led to higher education institutions adopting alternative teaching models to continue their work while complying with health measures. Specifically, in Spain, once the lockdown period was over, universities adopted the blended l...

  • Article
  • Open Access
1 Citations
2,421 Views
17 Pages

Red–Blue k-Center Clustering with Distance Constraints

  • Marzieh Eskandari,
  • Bhavika B. Khare,
  • Nirman Kumar and
  • Bahram Sadeghi Bigham

2 February 2023

We consider a variant of the k-center clustering problem in IRd, where the centers can be divided into two subsets—one, the red centers of size p, and the other, the blue centers of size q, such that p+q=k, and each red center and each blue cen...

  • Article
  • Open Access
4 Citations
3,392 Views
12 Pages

2 February 2023

We propose estimation methods to conduct logistic regression based on individual-level predictors and aggregate-level responses. We derive the likelihood of logistic models in this situation and proposed estimators with different optimization methods...

  • Article
  • Open Access
5 Citations
2,830 Views
19 Pages

Non-Cooperative Target Attitude Estimation Method Based on Deep Learning of Ground and Space Access Scene Radar Images

  • Chongyuan Hou,
  • Rongzhi Zhang,
  • Kaizhong Yang,
  • Xiaoyong Li,
  • Yang Yang,
  • Xin Ma,
  • Gang Guo,
  • Yuan Yang,
  • Lei Liu and
  • Feng Zhou

2 February 2023

Determining the attitude of a non-cooperative target in space is an important frontier issue in the aerospace field, and has important application value in the fields of malfunctioning satellite state assessment and non-cooperative target detection i...

  • Article
  • Open Access
4 Citations
3,308 Views
23 Pages

2 February 2023

The reachability assessment of low-thrust spacecraft is of great significance for orbital transfer, because it can give a priori criteria for the challenging low-thrust trajectory design and optimization. This paper proposes an approximation method t...

  • Article
  • Open Access
3 Citations
2,054 Views
26 Pages

2 February 2023

Controllability is a basic problem in the study of stochastic generalized systems. Compared with ordinary stochastic systems, the structure of stochastic singular systems is more complex, and it is necessary to study the controllability of stochastic...

  • Article
  • Open Access
3,769 Views
23 Pages

The Squeeze Film Effect with a High-Pressure Boundary in Aerostatic Bearings

  • Yangong Wu,
  • Jiadai Xue,
  • Zheng Qiao,
  • Wentao Chen and
  • Bo Wang

1 February 2023

The squeeze film effect was discussed in several fields, but mostly under the same pressure boundary conditions. However, pressures at the inlet and outlet are different for aerostatic bearings. In this paper, the dynamic Reynolds equation group, wit...

  • Article
  • Open Access
2 Citations
2,172 Views
33 Pages

Modern Dimensional Analysis-Based Heat Transfer Analysis: Normalized Heat Transfer Curves

  • Ioan Száva,
  • Sorin Vlase,
  • Ildikó-Renáta Száva,
  • Gábor Turzó,
  • Violeta Mihaela Munteanu,
  • Teofil Gălățanu,
  • Zsolt Asztalos and
  • Botond-Pál Gálfi

1 February 2023

In this contribution, the authors continued their initial study on the efficiency of the analysis of experimentally obtained temperature curves, in order to determine some basic parameters that are as simple and reliable as possible, such as “m...

  • Article
  • Open Access
10 Citations
5,605 Views
17 Pages

Application of the k-Prototype Clustering Approach for the Definition of Geostatistical Estimation Domains

  • Heber Hernández,
  • Elisabete Alberdi,
  • Aitor Goti and
  • Aitor Oyarbide-Zubillaga

1 February 2023

The definition of geostatistical domains is a stage in the estimation of mineral resources, in which a sample resulting from a mining exploration process is divided into zones that show homogeneity or minimal variation in the main element of interest...

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Mathematics - ISSN 2227-7390