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Mathematics, Volume 12, Issue 17

2024 September-1 - 193 articles

Cover Story: We propose a pricing formula for a defaultable zero-coupon bond with imperfect information under a regime switching model using a structural form of credit risk modelling. This paper provides explicit representations of risky debt under regime switching with a constant interest rate and risky debt under regime switching with a regime switching interest rate. While the value of the firm’s equity is observed continuously, we assume that the total value of the firm is only observed at discrete times, such as the dates of the release of the firm’s annual reports, or quarterly reports. This uncertainty about the true value of the firm results in credit spreads that do not approach zero as the debt approaches maturity, which is a problem with many structural models. View this paper
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Articles (193)

  • Article
  • Open Access
4 Citations
3,049 Views
16 Pages

A Method for Transforming Non-Convex Optimization Problem to Distributed Form

  • Oleg O. Khamisov,
  • Oleg V. Khamisov,
  • Todor D. Ganchev and
  • Eugene S. Semenkin

9 September 2024

We propose a novel distributed method for non-convex optimization problems with coupling equality and inequality constraints. This method transforms the optimization problem into a specific form to allow distributed implementation of modified gradien...

(This article belongs to the Special Issue Applied and Computational Mathematics for Digital Environments, 2nd Edition)
  • Article
  • Open Access
18 Citations
9,910 Views
36 Pages

A Novel Hybrid Model (EMD-TI-LSTM) for Enhanced Financial Forecasting with Machine Learning

  • Olcay Ozupek,
  • Reyat Yilmaz,
  • Bita Ghasemkhani,
  • Derya Birant and
  • Recep Alp Kut

9 September 2024

Financial forecasting involves predicting the future financial states and performance of companies and investors. Recent technological advancements have demonstrated that machine learning-based models can outperform traditional financial forecasting...

(This article belongs to the Special Issue Machine Learning and Finance)
  • Article
  • Open Access
1,468 Views
22 Pages

9 September 2024

One of the major issues facing commercial airlines is the time that it takes to board passengers. Further, most airlines wish to increase the number of trips that an aircraft can make between two or more cities. Thus, reducing the overall boarding ti...

  • Article
  • Open Access
2 Citations
1,531 Views
15 Pages

Reduction in Optimal Time in Systems with Input Redundancy

  • Zhongxing Peng,
  • Gengzhong Zheng and
  • Wei Huang

9 September 2024

This paper discusses a reduction in the optimal time due to the presence of input redundancy in time-optimal control problems. By introducing a non-idle channel to represent an active input channel, we establish the necessary and sufficient condition...

  • Article
  • Open Access
1 Citations
1,791 Views
13 Pages

Hybrid Fuzzy Method for Performance Evaluation of City Construction

  • Chun-Ming Yang,
  • Chang-Hsien Hsu,
  • Tian Chen and
  • Shiyao Li

9 September 2024

Evaluating the performance of city construction not only helps optimize city functions and improve city quality, but it also contributes to the development of sustainable cities. However, most of the scoring rules for evaluating the performance of ci...

(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Numbers, Fuzzy Modeling, and Their Applications in Management and Engineering, 2nd Edition)
  • Article
  • Open Access
2 Citations
2,208 Views
14 Pages

Few-Shot Learning Sensitive Recognition Method Based on Prototypical Network

  • Guoquan Yuan,
  • Xinjian Zhao,
  • Liu Li,
  • Song Zhang and
  • Shanming Wei

9 September 2024

Traditional machine learning-based entity extraction methods rely heavily on feature engineering by experts, and the generalization ability of the model is poor. Prototype networks, on the other hand, can effectively use a small amount of labeled dat...

(This article belongs to the Special Issue Data Mining and Machine Learning in the Era of Big Knowledge and Large Models)
  • Article
  • Open Access
5 Citations
3,333 Views
46 Pages

Enhanced Parameter Estimation of DENsity CLUstEring (DENCLUE) Using Differential Evolution

  • Omer Ajmal,
  • Shahzad Mumtaz,
  • Humaira Arshad,
  • Abdullah Soomro and ,
  • Tariq Hussain,
  • Razaz Waheeb Attar and
  • Ahmed Alhomoud
  • + 2 authors+ 0 author

9 September 2024

The task of finding natural groupings within a dataset exploiting proximity of samples is known as clustering, an unsupervised learning approach. Density-based clustering algorithms, which identify arbitrarily shaped clusters using spatial dimensions...

  • Article
  • Open Access
2 Citations
2,058 Views
23 Pages

Design and Comparison of Fractional-Order Controllers in Flotation Cell Banks and Flotation Columns Used in Copper Extraction Processes

  • Manuel A. Duarte-Mermoud,
  • Abdiel Ricaldi-Morales,
  • Juan Carlos Travieso-Torres and
  • Rafael Castro-Linares

9 September 2024

This work explores efficiency improvements in the copper flotation stage, a complex nonlinear, multivariable process subject to numerous perturbations. The primary objective is to design a fractional-order PID (FOPID) control strategy and a fractiona...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
1 Citations
1,671 Views
26 Pages

9 September 2024

We consider a two-group social conflict under the corporates’ research and development (R&D) business processes. Conflict participants are divided into two groups depending on their attitude to new ideas, technologies, and behavioral style...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
6 Citations
1,892 Views
23 Pages

9 September 2024

Outliers are a common problem in applied statistics, together with multicollinearity. In this paper, robust Liu estimators are introduced into a partially linear model to combat the presence of multicollinearity and outlier challenges when the error...

(This article belongs to the Special Issue Nonparametric Regression Models: Theory and Applications)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,872 Views
13 Pages

Some Fractional Integral and Derivative Formulas Revisited

  • Juan Luis González-Santander and
  • Francesco Mainardi

9 September 2024

In the most common literature about fractional calculus, we find that Dtαaft=It−αaft is assumed implicitly in the tables of fractional integrals and derivatives. However, this is not straightforward from the definitions of Itα...

(This article belongs to the Topic Fractional Calculus: Theory and Applications, 2nd Edition)
  • Article
  • Open Access
1,293 Views
22 Pages

Accelerating the Speed of Convergence for High-Order Methods to Solve Equations

  • Ramandeep Behl,
  • Ioannis K. Argyros and
  • Sattam Alharbi

9 September 2024

This article introduces a multistep method for developing sequences that solve Banach space-valued equations. It provides error estimates, a radius of convergence, and uniqueness results. Our approach improves the applicability of the recommended met...

(This article belongs to the Special Issue New Trends and Developments in Numerical Analysis: 2nd Edition)
  • Feature Paper
  • Article
  • Open Access
3 Citations
1,822 Views
10 Pages

9 September 2024

A numerical method for evolving the nonlinear Schrödinger equation on a coarse spatial grid is developed. This trains a neural network to generate the optimal stencil weights to discretize the second derivative of solutions to the nonlinear Schr...

(This article belongs to the Special Issue Numerical Analysis in Computational Mathematics)
  • Article
  • Open Access
3 Citations
1,616 Views
14 Pages

9 September 2024

Aiming at the problem of high failure rate and inconvenient maintenance of wind turbine gearboxes, this paper establishes a stochastic differential equation model that can be used to fit the change of gearbox oil temperature and adopts an iterative c...

  • Article
  • Open Access
3 Citations
2,622 Views
11 Pages

GaitAE: A Cognitive Model-Based Autoencoding Technique for Gait Recognition

  • Rui Li,
  • Huakang Li,
  • Yidan Qiu,
  • Jinchang Ren and ,
  • Wing W. Y. Ng and
  • Huimin Zhao
  • + 1 author+ 0 author

8 September 2024

Gait recognition is a long-distance biometric technique with significant potential for applications in crime prevention, forensic identification, and criminal investigations. Existing gait recognition methods typically introduce specific feature refi...

(This article belongs to the Special Issue Mathematical Methods for Pattern Recognition)
  • Article
  • Open Access
8 Citations
2,526 Views
18 Pages

8 September 2024

Pulsed eddy current thermography can detect surface or subsurface defects in steel, but in the process of combining deep learning, it is expensive and inefficient to build a complete sample of defects due to the complexity of the actual industrial en...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
4 Citations
2,078 Views
14 Pages

8 September 2024

In this paper, a filterless 32-tupling millimeter wave generation scheme based on eight MZMs is proposed. The system has an upper and lower parallel two-branch structure. The upper branch consists of two subsystems Sub-A and Sub-B in cascade, each su...

  • Article
  • Open Access
3 Citations
2,154 Views
24 Pages

Dynamic Niches-Based Hybrid Breeding Optimization Algorithm for Solving Multi-Modal Optimization Problem

  • Ting Cai,
  • Ziteng Qiao,
  • Zhiwei Ye,
  • Hu Pan and ,
  • Mingwei Wang,
  • Wen Zhou,
  • Qiyi He,
  • Peng Zhang and
  • Wanfang Bai
  • + 4 authors+ 0 author

8 September 2024

Some problems exist in classical optimization algorithms to solve multi-modal optimization problems and other complex systems. A Dynamic Niches-based Improved Hybrid Breeding Optimization (DNIHBO) algorithm is proposed to address the multi-modal opti...

  • Feature Paper
  • Article
  • Open Access
1 Citations
1,958 Views
23 Pages

8 September 2024

This article investigates a variable selection method in semi-functional partially linear regression (SFPLR) models for strong α-mixing functional time series data. We construct penalized least squares estimators for unknown parameters and unkn...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
5 Citations
1,825 Views
16 Pages

8 September 2024

In this article, the synchronization of bidirectionally coupled fractional-order chaotic systems with unknown time-varying parameter disturbance in different dimensions is investigated. The scale matrices are designed to address the problem of the sy...

(This article belongs to the Special Issue Chaotic Systems and Their Applications, 2nd Edition)
  • Article
  • Open Access
7 Citations
1,952 Views
15 Pages

An Improved YOLOv5 Model for Concrete Bubble Detection Based on Area K-Means and ECANet

  • Wei Tian,
  • Bazhou Li,
  • Jingjing Cao,
  • Feichao Di and ,
  • Yang Li and
  • Jun Liu
  • + 1 author+ 0 author

8 September 2024

The appearance quality of fair-faced concrete plays a crucial role in evaluating the engineering quality, as the abundance of small-area bubbles generated during construction diminishes the surface quality of concrete. However, existing methods are p...

(This article belongs to the Special Issue Application of Machine Learning and Data Mining, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,746 Views
27 Pages

8 September 2024

Under the constraints of low-carbon transformation goals, energy enterprises have significantly increased their debt default risk levels due to carbon price fluctuations. This article first analyzes the contagion mechanism of debt default risk among...

  • Article
  • Open Access
5 Citations
3,880 Views
30 Pages

7 September 2024

With the advent of big data, the swift advancement of diverse algorithmic technologies has enhanced the transaction efficiency of the e-commerce business. Nevertheless, it is crucial to acknowledge that e-commerce platforms might employ algorithmic t...

  • Article
  • Open Access
4 Citations
2,587 Views
29 Pages

7 September 2024

Dynamic random access memory (DRAM) serves as a critical component in medical equipment. Given the exacting standards demanded by medical equipment products, manufacturers face pressure to improve their product quality. The electrical characteristics...

  • Article
  • Open Access
23 Citations
1,793 Views
17 Pages

7 September 2024

This paper is concerned with the novel exact solitons for the truncated M-fractional (1+1)-dimensional nonlinear generalized Bretherton model with arbitrary constants. This model is used to explain the resonant nonlinear interaction between the waves...

(This article belongs to the Special Issue Analytical Approaches to Nonlinear Dynamical Systems and Applications II)
  • Review
  • Open Access
8 Citations
3,201 Views
20 Pages

Survey on Roman {2}-Domination

  • Ahlam Almulhim,
  • Bana Al Subaiei and
  • Saiful Rahman Mondal

7 September 2024

The notion of Roman {2}-domination was introduced in 2016 as a variant of Roman domination, a concept inspired by a defending strategy used by the emperor Constantine (272–337 AD) to protect the Roman Empire. Since then, a considerable number o...

  • Article
  • Open Access
2 Citations
1,648 Views
22 Pages

Three-Layer Artificial Neural Network for Pricing Multi-Asset European Option

  • Zhiqiang Zhou,
  • Hongying Wu,
  • Yuezhang Li,
  • Caijuan Kang and
  • You Wu

7 September 2024

This paper studies an artificial neural network (ANN) for multi-asset European options. Firstly, a simple three-layer ANN-3 is established with undetermined weights and bias. Secondly, the time–space discrete PDE of the multi-asset option is gi...

(This article belongs to the Special Issue Computational Economics and Mathematical Modeling)
  • Article
  • Open Access
6 Citations
3,501 Views
18 Pages

Hypergraph-Based Influence Maximization in Online Social Networks

  • Chuangchuang Zhang,
  • Wenlin Cheng,
  • Fuliang Li and
  • Xingwei Wang

7 September 2024

Influence maximization in online social networks is used to select a set of influential seed nodes to maximize the influence spread under a given diffusion model. However, most existing proposals have huge computational costs and only consider the dy...

(This article belongs to the Special Issue Deep Representation Learning for Social Network Analysis)
  • Article
  • Open Access
1 Citations
2,221 Views
10 Pages

6 September 2024

The security of traditional public key cryptography algorithms depends on the difficulty of the underlying mathematical problems. Asymmetric topological encryption is a graph-dependent encryption algorithm produced to resist attacks by quantum comput...

  • Article
  • Open Access
1,543 Views
11 Pages

On Polar Jacobi Polynomials

  • Roberto S. Costas-Santos

6 September 2024

In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.

(This article belongs to the Special Issue Polynomials: Theory and Applications, 2nd Edition)
  • Article
  • Open Access
3 Citations
2,383 Views
15 Pages

Reinforcement Learning-Based Network Dismantling by Targeting Maximum-Degree Nodes in the Giant Connected Component

  • Shixuan Liu,
  • Tianle Pu,
  • Li Zeng,
  • Yunfei Wang and ,
  • Haoxiang Cheng and
  • Zhong Liu
  • + 1 author+ 0 author

6 September 2024

Tackling the intricacies of network dismantling in complex systems poses significant challenges. This task has relevance across various practical domains, yet traditional approaches focus primarily on singular metrics, such as the number of nodes in...

  • Article
  • Open Access
5 Citations
1,789 Views
23 Pages

Modeling a Single-Channel Synergetic Observer for Chaos-Based Secure Communication System Applications

  • Alexey Mushenko,
  • Ekaterina Pakulova,
  • Elena Basan,
  • Alexey Nekrasov and ,
  • Mária Gamcová and
  • Pavol Kurdel
  • + 1 author+ 0 author

6 September 2024

This paper explores secure communication systems with a chaotic carrier. The use of chaotic oscillations instead of regular van der Pol oscillators as a signal carrier is a promising and active research area, providing not only communication systems...

(This article belongs to the Special Issue Chaos-Based Secure Communication and Cryptography, 2nd Edition)
  • Article
  • Open Access
3 Citations
2,024 Views
20 Pages

6 September 2024

The epidemic outbreaks of the last two decades have led governments to rely more on computational tools for establishing protection policies. Computational approaches to modeling epidemics traditionally rely on compartmental models, network models, o...

(This article belongs to the Special Issue Applied Mathematics in Disease Control and Dynamics)
  • Article
  • Open Access
2 Citations
1,652 Views
12 Pages

6 September 2024

We revisit the problem of the computation of the limiting characteristics of (in)homogeneous continuous-time Markov chains with the finite state space. In general, it can be performed only numerically. The common rule of thumb is to interrupt calcula...

(This article belongs to the Special Issue Stability Problems for Stochastic Models: Analytics, Asymptotics, Estimation and Applications)
  • Article
  • Open Access
1,640 Views
20 Pages

6 September 2024

This paper presents the topological derivative of the first eigenvalue for the free vibration model of plane structures. We conduct a topological asymptotic analysis to account for perturbations in the domain caused by inserting a small inclusion. Th...

(This article belongs to the Special Issue Numerical Simulation and Analysis in Applied Mechanics and Engineering)
  • Article
  • Open Access
11 Citations
2,886 Views
14 Pages

6 September 2024

Few-Shot Semantic Segmentation (FSS) has drawn massive attention recently due to its remarkable ability to segment novel-class objects given only a handful of support samples. However, current FSS methods mainly focus on natural images and pay little...

(This article belongs to the Special Issue Computing in Image Processing for Remote Sensing and Biomedical Applications)
  • Feature Paper
  • Article
  • Open Access
11 Citations
3,265 Views
15 Pages

Solving Linear and Nonlinear Delayed Differential Equations Using the Lambert W Function for Economic and Biological Problems

  • Tomas Ruzgas,
  • Irma Jankauskienė,
  • Audrius Zajančkauskas,
  • Mantas Lukauskas and ,
  • Matas Bazilevičius,
  • Rugilė Kaluževičiūtė and
  • Jurgita Arnastauskaitė
  • + 2 authors+ 0 author

6 September 2024

Studies of the dynamics of linear and nonlinear differential equations with delays described by mathematical models play a crucial role in various scientific domains, including economics and biology. In this article, the Lambert function method, whic...

(This article belongs to the Special Issue Advances in Differential Dynamical Systems with Applications to Economics and Biology, 2nd Edition)
  • Article
  • Open Access
2 Citations
1,889 Views
17 Pages

5 September 2024

Aiming to provide solutions for problems proposed by the inaccurate segmentation of long objects and information loss of small objects in real-time semantic segmentation algorithms, this paper proposes a lightweight multi-branch real-time semantic se...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
27 Citations
6,133 Views
15 Pages

Enhancing Signature Verification Using Triplet Siamese Similarity Networks in Digital Documents

  • Sara Tehsin,
  • Ali Hassan,
  • Farhan Riaz,
  • Inzamam Mashood Nasir and ,
  • Norma Latif Fitriyani and
  • Muhammad Syafrudin
  • + 1 author+ 0 author

5 September 2024

In contexts requiring user authentication, such as financial, legal, and administrative systems, signature verification emerges as a pivotal biometric method. Specifically, handwritten signature verification stands out prominently for document authen...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
22 Citations
10,737 Views
20 Pages

Leveraging Large Language Models and BERT for Log Parsing and Anomaly Detection

  • Yihan Zhou,
  • Yan Chen,
  • Xuanming Rao,
  • Yukang Zhou and ,
  • Yuxin Li and
  • Chao Hu
  • + 1 author+ 0 author

5 September 2024

Computer systems and applications generate large amounts of logs to measure and record information, which is vital to protect the systems from malicious attacks and useful for repairing faults, especially with the rapid development of distributed com...

  • Article
  • Open Access
1,177 Views
14 Pages

5 September 2024

In this paper, we establish sufficient conditions for some existence results for nonlinear impulsive differential equations involving causal operators. Our method is based on the monotone iterative technique, a new differential inequality, and the Sc...

  • Editorial
  • Open Access
2,001 Views
3 Pages

5 September 2024

Mathematical data science is a field that combines mathematical techniques with data science methods to extract insights and knowledge from data [...]

(This article belongs to the Special Issue Mathematical Data Science with Applications in Business, Industry, and Medicine)
  • Article
  • Open Access
5 Citations
1,712 Views
12 Pages

Image Noise Reduction and Solution of Unconstrained Minimization Problems via New Conjugate Gradient Methods

  • Bassim A. Hassan,
  • Issam A. R. Moghrabi,
  • Thaair A. Ameen,
  • Ranen M. Sulaiman and
  • Ibrahim Mohammed Sulaiman

5 September 2024

The conjugate gradient (CG) directions are among the important components of the CG algorithms. These directions have proven their effectiveness in many applications—more specifically, in image processing due to their low memory requirements. I...

(This article belongs to the Special Issue Mathematical Modeling, Optimization and Machine Learning, 2nd Edition)
  • Article
  • Open Access
1 Citations
1,906 Views
15 Pages

Mathematical Model for Optimal Agri-Food Industry Residual Streams Flow Management: A Valorization Decision Support Tool

  • Íñigo Barasoain-Echepare,
  • Marta Zárraga-Rodríguez,
  • Adam Podhorski,
  • Fernando M. Villar-Rosety and ,
  • Leire Besga-Oyanarte,
  • Sofía Jaray-Valdehierro,
  • Tamara Fernández-Arévalo,
  • Luis Sancho,
  • Eduardo Ayesa and
  • Xabier Insausti
  • + 6 authors+ 1 author

5 September 2024

We present a mathematical model for agri-food industry residual streams flow management, which serves as a decision support tool for optimizing their valorization. The aim is to determine, under a cost-benefit analysis approach, the best strategy at...

(This article belongs to the Special Issue Planning and Scheduling in City Logistics Optimization)
  • Article
  • Open Access
2,236 Views
15 Pages

Performance Analysis of a New Non-Orthogonal Multiple Access Design for Mitigating Information Loss

  • Sang-Wook Park,
  • Hyoung-Do Kim,
  • Kyung-Ho Shin,
  • Jin-Woo Kim and ,
  • Seung-Hwan Seo,
  • Yoon-Ju Choi,
  • Young-Hwan You,
  • Yeon-Kug Moon and
  • Hyoung-Kyu Song
  • + 4 authors+ 0 author

5 September 2024

This paper proposes a scheme that adds XOR bit operations into the encoding and decoding process of the conventional non-orthogonal multiple access (NOMA) system to alleviate performance degradation caused by the power distribution of the original si...

  • Article
  • Open Access
2 Citations
2,178 Views
18 Pages

5 September 2024

The current healthcare system suffers from information fragmentation. Achieving an efficient medical process necessitates coordination among healthcare institutions at different levels to enhance efficiency and reduce costs, with information synergy...

  • Article
  • Open Access
1 Citations
1,955 Views
14 Pages

Investigating Statistical Submersions and Their Properties

  • Aliya Naaz Siddiqui and
  • Fatimah Alghamdi

5 September 2024

This research aims to prove a sharp relationship between statistical submersions and doubly minimal immersions. We consider a non-trivial statistical submersion on a statistical manifold with isometric fibers. Then, we investigate that it cannot be i...

(This article belongs to the Special Issue Differentiable Manifolds and Geometric Structures)
  • Article
  • Open Access
1 Citations
2,477 Views
14 Pages

5 September 2024

The application of contrastive learning in image clustering in the field of unsupervised learning has attracted much attention due to its ability to effectively improve clustering performance. Extracting features for face-oriented clustering using de...

  • Article
  • Open Access
2 Citations
1,188 Views
22 Pages

4 September 2024

In this paper, we offer Ostrowski-type inequalities that extend the findings that have been proven for functions of one variable with values in Banach spaces, conducted in a remarkable study by Dragomir, to functions of two variables containing value...

(This article belongs to the Special Issue Mathematical Analysis and Functional Analysis and Their Applications)
  • Article
  • Open Access
5 Citations
2,071 Views
24 Pages

4 September 2024

This paper presents a multiple step-stress accelerated life test using type II censoring. Assuming that the lifetimes of the test item follow the gamma distribution, the maximum likelihood estimation and Bayesian approaches are used to estimate the d...

(This article belongs to the Special Issue Reliability Estimation and Mathematical Statistics)

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Mathematics - ISSN 2227-7390