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Mathematics, Volume 14, Issue 6

2026 March-2 - 162 articles

Cover Story: We propose a robust method for outlier detection in functional data analysis. This approach uses the robust Minimum Covariance Determinant estimator to compute the Mahalanobis distance applied to functional principal component scores. The main contribution of this research is the detection of outlier curves using the robust covariance matrix of functional principal components, in contrast to existing methods that use principal components on the discrete dataset. The proposed method is practical because it considers the entire functional form of the data, through their functional principal components, providing a comprehensive analysis that can detect anomalies across the entire functional range. A simulation study compares this approach with existing methods to evaluate their performance, followed by applications to El Niño Sea Surface Temperature data and SCImago Journal Rank data. View this paper
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Articles (162)

  • Feature Paper
  • Article
  • Open Access
763 Views
24 Pages

Branching Random Walks with Ageing

  • Daniela Bertacchi,
  • Elena Montanaro and
  • Fabio Zucca

23 March 2026

Branching processes are stochastic models describing the evolution of populations in which individuals reproduce and die independently over time. In the classical setting, an individual’s reproductive capacity is fixed throughout its lifetime....

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
494 Views
17 Pages

23 March 2026

This paper investigates the strong convergence of jump-diffusion processes with Markovian switching using the truncated Euler–Maruyama (TEM) method. Under the assumption that the drift and diffusion coefficients satisfy a Khasminskii-type condi...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
3 Citations
520 Views
16 Pages

23 March 2026

The aim of the present work is to study a class of nabla fractional problems with two different nabla Riemann–Liouville operators and three-point parameter-dependent boundary conditions. First, we derive the expression of the Green’s func...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
548 Views
19 Pages

23 March 2026

Pseudo-multiview learning improves classification by integrating complementary feature representations, but its performance degrades as the number of psuedo-views increases due to model collapse and ineffective feature scaling. This paper introduces...

(This article belongs to the Special Issue Machine Learning Applications in Image Processing and Computer Vision)
  • Article
  • Open Access
508 Views
11 Pages

23 March 2026

The formal ordinal sums of t-norms on the bounded lattice is defined by Saminger, but the formal ordinal sum need not be a t-norm. Hence, she provides a necessary and sufficient condition such that the formal ordinal sum is a t-norm indeed. In this p...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
435 Views
8 Pages

23 March 2026

In this paper, we construct a probabilistic model of a sliding mode. This model is based on the moment a random walk with positive jumps crosses a certain critical level. It is assumed that the jump magnitude has a geometric distribution. If the init...

(This article belongs to the Special Issue Optimization and Control of Complex Engineering Systems: Mathematical Approaches)
  • Feature Paper
  • Article
  • Open Access
2 Citations
1,849 Views
28 Pages

Improving Cross-Domain Generalization in Brain MRIs via Feature Space Stability Regularization

  • Shawon Chakrabarty Kakon,
  • Harishik Dev Singh Jamwal and
  • Saurabh Singh

23 March 2026

Deep learning models for brain tumor classification from magnetic resonance imaging (MRI) often achieve high in-dataset accuracy but exhibit substantial performance degradation when evaluated on unseen clinical data due to domain shift arising from v...

(This article belongs to the Special Issue Recent Advances in Machine Learning Methods for Medical Imaging Analysis)
  • Article
  • Open Access
1 Citations
559 Views
20 Pages

23 March 2026

This paper investigates dynamic event-triggered control (DETC) and encoding–decoding schemes to achieve the synchronization of T-S fuzzy neural networks (FNNs). DETC allows the transmission signals to be controlled aperiodically during the actu...

  • Article
  • Open Access
2 Citations
695 Views
35 Pages

23 March 2026

Humans face environmental deterioration. Scholars have identified carbon dioxide as one of the culprits, and they emphasize carbon offset. Researchers are investigating carbon offset investments. Some researchers have encouragingly deployed multivari...

(This article belongs to the Special Issue Application of Multiple Criteria Decision Analysis)
  • Article
  • Open Access
1 Citations
813 Views
26 Pages

23 March 2026

In this study, we examine the effectiveness of combining interleukin-2 (IL-2) with highly active antiretroviral therapy (HAART) in controlling HIV replication. A mathematical model of the immune system is developed to analyze immune recovery when IL-...

(This article belongs to the Topic Modeling, Stability, and Control of Dynamic Systems and Their Applications)
  • Feature Paper
  • Article
  • Open Access
1,041 Views
26 Pages

23 March 2026

Evolutionary reinforcement learning (ERL) offers a compelling alternative for continuous control by combining the population-level exploration of evolutionary algorithms with the gradient-based exploitation of reinforcement learning. However, applyin...

(This article belongs to the Special Issue Algorithmic Advances in Reinforcement Learning: Theory and Applications)
  • Article
  • Open Access
686 Views
20 Pages

Hybrid NN–ODE Modeling of Fossil Fuel Competition

  • Dimitris Kastoris,
  • Dimitris Papadopoulos and
  • Kostas Giotopoulos

22 March 2026

Europe’s fossil-based electricity mix has shifted rapidly in recent years, raising a practical question: can we model competitive substitution among fuels with a framework that is both predictive and interpretable? We address this by combining...

(This article belongs to the Section C1: Difference and Differential Equations)
  • Article
  • Open Access
1,035 Views
31 Pages

The One-Parameter Bounded p-Exponential Distribution: Properties, Inference, and Applications

  • Hassan S. Bakouch,
  • Hugo S. Salinas,
  • Fernando A. Moala,
  • Tassaddaq Hussain and ,
  • Shaykhah Aldossari and
  • Alanwood Al-Buainain
  • + 1 author+ 0 author

22 March 2026

We introduce the one-parameter bounded p-exponential distribution on (0, p+1), which includes the uniform model as a special case and converges pointwise to the exponential law as p→∞. Closed-form expressions are derived for the CDF a...

(This article belongs to the Special Issue New Advances in Mathematical Applications for Reliability Analysis)
  • Article
  • Open Access
4 Citations
843 Views
22 Pages

Sharp Coefficient Estimates for Analytic Functions Subordinate to the Cusp Domain: Theory and Image Processing Applications

  • Mohammad El-Ityan,
  • Adel Salim Tayyah,
  • Mohammed Hamzah Alsalihi,
  • Basem Aref Frasin and
  • Alina Alb Lupaş

22 March 2026

This article proposes a new type of analytic function called Mtan and introduces a new geometric structure that blends exponential and trigonometric properties. In addition, it obtains exact bounds for all second- and third-order Hankel determinants...

(This article belongs to the Section C4: Complex Analysis)
  • Article
  • Open Access
1 Citations
760 Views
23 Pages

22 March 2026

Gene transcription is inherently stochastic, and promoter-switching-induced transcriptional bursting generates substantial cell-to-cell variability in mRNA abundance. Such variability is commonly characterized by the mean and variance; however, these...

(This article belongs to the Special Issue Advances in Functional Differential Equations and Their Stochastic Versions: Theory, Numerics, and Applications)
  • Feature Paper
  • Article
  • Open Access
572 Views
22 Pages

A Unified Framework for Identification, Estimation, and Control of an Experimental Duffing–Holmes System

  • Antonio Concha-Sánchez,
  • Ulises Mondragón-Cárdenas,
  • Suresh Thenozhi,
  • Juan Luis Mata-Machuca and
  • Suresh Kumar Gadi

22 March 2026

This paper presents a comprehensive framework for the identification, state estimation, and robust control of a bistable Duffing–Holmes oscillator, validated through an experimental setup. First, to address parametric uncertainty, a Recursive L...

(This article belongs to the Special Issue Nonlinear Dynamics and Control Theory)
  • Article
  • Open Access
2 Citations
805 Views
34 Pages

Equivalence of Doubly Periodic Tangles

  • Ioannis Diamantis,
  • Sofia Lambropoulou and
  • Sonia Mahmoudi

22 March 2026

Doubly periodic tangles, or DP tangles, are embeddings of curves in the thickened plane that are periodically repeated in two directions. They are defined as universal covers of their generating cells, the flat motifs, which represent knots and links...

(This article belongs to the Special Issue Mathematical Modeling of Complex Entangled Structures)
  • Article
  • Open Access
1 Citations
2,986 Views
37 Pages

22 March 2026

Vulnerability disclosures are outpacing manual remediation capacity. We present a Zero-Touch Vulnerability Remediation Framework combining OpenVAS scanning, multi-source threat intelligence, and Large Language Models (LLMs) enhanced through Retrieval...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
504 Views
12 Pages

22 March 2026

The concept of vector topical functions, which take values in a partially ordered Banach space endowed with a complete lattice structure, was introduced in our preceding study. This structure enabled the development of an abstract convexity theory fo...

(This article belongs to the Special Issue Nonlinear Functional Analysis: Theory, Methods, and Applications)
  • Article
  • Open Access
683 Views
16 Pages

A Wright-Based Generalization of the Euler Beta Function with Statistical Applications

  • Layth T. Khudhuir,
  • Hiba F. Al-Janaby,
  • Firas Ghanim and
  • Alina Alb Lupaș

21 March 2026

In recent years, special function theory has played an increasingly important role in the development of advanced mathematical models and statistical distributions. In this paper, a new extension of the Euler Beta function is introduced by employing...

(This article belongs to the Special Issue Current Topics in Geometric Function Theory, 2nd Edition)
  • Article
  • Open Access
859 Views
19 Pages

21 March 2026

Facial emotion recognition (FER) plays an important role in healthcare, human–computer interaction, and intelligent security systems. However, despite recent advances, many state-of-the-art FER methods depend on computationally intensive CNN or...

(This article belongs to the Special Issue Advanced Algorithms in Multimodal Affective Computing)
  • Feature Paper
  • Article
  • Open Access
571 Views
29 Pages

21 March 2026

Domain shift in multi-source MRI imaging data significantly degrades the performance of Alzheimer’s disease diagnostic models. This study aims to develop an effective unsupervised domain adaptation method to enhance diagnostic accuracy across d...

(This article belongs to the Special Issue Recent Advances in Machine Learning Methods for Medical Imaging Analysis)
  • Article
  • Open Access
1 Citations
574 Views
12 Pages

Surfaces of Revolution with Constant Mean Curvature in Galilean 3-Space

  • İsmet Gölgeleyen,
  • Yusuf Yaylı and
  • Elif Yaren Bulgan

21 March 2026

Revolution surfaces with zero mean curvature in the Galilean 3-space have been extensively studied in the literature. However, revolution surfaces with non-zero constant mean curvature in this geometric setting have not yet been investigated in a sys...

(This article belongs to the Special Issue New Trends in Differential Geometry and Geometric Analysis)
  • Article
  • Open Access
1 Citations
686 Views
18 Pages

21 March 2026

This study investigates the common assumption that segmental inertial parameters remain constant during manual lifting using a model-based experimental approach. The primary objective was to evaluate the variability in these parameters and the subseq...

(This article belongs to the Special Issue Mathematical Modelling of Nonlinear Dynamical Systems)
  • Article
  • Open Access
7 Citations
1,084 Views
43 Pages

21 March 2026

When measurement invariance (MI) is violated in multi-group structural equation models, group-specific measurement artifacts inflate the between-group variance of structural parameters beyond their true values. Existing remedies—partial invaria...

(This article belongs to the Special Issue Advances in Statistical Approaches with Applications for Multivariate Data Analysis)
  • Feature Paper
  • Article
  • Open Access
440 Views
19 Pages

Approximating Eigenvalues of a Class of Perturbed Tridiagonal Systems

  • Christos Chorianopoulos and
  • Ioannis Th. Famelis

21 March 2026

We study a class of perturbed tridiagonal problems in the form of a rank-one update of a symmetric tridiagonal Toeplitz matrix. We derive computable formulas for up to eighth-order polynomial approximations or closed formulas for quartic approximatio...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
739 Views
28 Pages

DeepSORT-OCR: Design and Application Research of a Maritime Ship Target Tracking Algorithm Incorporating Hull Number Features

  • Jing Ma,
  • Xihang Su,
  • Kehui Xu,
  • Hongliang Yin and ,
  • Zhihong Xiao,
  • Jiale Wang and
  • Peng Liu
  • + 2 authors+ 0 author

20 March 2026

Maritime ship target tracking plays an important role in applications such as maritime patrol and maritime surveillance. However, complex sea conditions, similar target appearances, and long-distance imaging often lead to target identity confusion an...

(This article belongs to the Special Issue Control Theory for Multi-Agent Systems: Recent Advances and Applications)
  • Article
  • Open Access
627 Views
19 Pages

20 March 2026

This paper will present a constant-force vibration isolator (CFVI), in which the isolated load is supported by two pulley-roller mechanisms, while the dynamic stiffness is modified by a cam mechanism with the piecewise profile redefined by the user....

(This article belongs to the Section C2: Dynamical Systems)
  • Feature Paper
  • Article
  • Open Access
1,108 Views
26 Pages

20 March 2026

The driven damped pendulum is a foundational model in nonlinear dynamics, with applications ranging from Josephson junctions to MEMS oscillators. Conventional dimensionless treatments obscure the common physical origin of damping and driving in the i...

(This article belongs to the Special Issue Mathematical Modelling of Nonlinear Dynamical Systems)
  • Article
  • Open Access
1 Citations
1,102 Views
39 Pages

A DSGE Framework with Green and Fossil Energy for Kazakhstan

  • Akbobek Akhmedyarova,
  • Bauyrzhan Temirbayev,
  • Andrea Tick and
  • Askar Sarygulov

20 March 2026

This paper constructs and estimates a novel two-sector Dynamic Stochastic General Equilibrium (DSGE) model to analyze the macroeconomics of Kazakhstan’s dual-energy structure, where a large fossil fuel sector coexists with an emerging renewable...

(This article belongs to the Special Issue Mathematical Modeling of Energy Transition, Climate Finance, and Sustainable Economic Systems)
  • Feature Paper
  • Article
  • Open Access
528 Views
27 Pages

20 March 2026

This paper studies the supervisory control of discrete event systems (DESs) from an event observation perspective and addresses the problem of supervisor design with minimal observation. In supervisory control, a supervisor enables or disables contro...

(This article belongs to the Special Issue Modeling and Optimization of Complex Systems)
  • Article
  • Open Access
1 Citations
882 Views
34 Pages

Neural Network Modeling of Air Spring Dynamic Stiffness Based on Its Pneumatic Physics

  • Yuelian Wang,
  • Tao Bo,
  • Wenzheng Hu,
  • Jiaqi Zhao and ,
  • Fa Su,
  • Zuguo Ma and
  • Ye Zhuang
  • + 2 authors+ 0 author

20 March 2026

To meet the real-time computational requirements of active suspension control systems, this study shifts from complex microscopic physical equations to a direct nonlinear functional mapping between the relative motion states (displacement and velocit...

(This article belongs to the Special Issue Machine Learning for Dynamics and Control Advancement in Engineering Applications)
  • Article
  • Open Access
2 Citations
899 Views
23 Pages

A Comparative Analysis of ResNet Models on Fish Classification

  • Chad Whitney,
  • Mahid Ahmed,
  • Lei Huang,
  • Shuiling He and ,
  • Zhaoxian Zhou and
  • Chaoyang Zhang
  • + 1 author+ 0 author

20 March 2026

Fish identification and classification tasks allow scientists greater data on the sustainability and diversity of fisheries. Advances in computer vision, particularly convolutional neural networks (CNNs), have enabled automated fish detection at scal...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Feature Paper
  • Article
  • Open Access
479 Views
12 Pages

Approximate Bi-Affine Mappings

  • Jae-Hyeong Bae and
  • Won-Gil Park

20 March 2026

In this paper, we introduce a multi-variable bi-affine functional equation of the form f∑i=1mαixi,∑j=1nβjyj=∑i=1m∑j=1nαiβjf(xi,yj), where m and n are integers and m,n≥2 and αi,βj are nonzero scalars...

(This article belongs to the Section C: Mathematical Analysis)
  • Article
  • Open Access
475 Views
16 Pages

20 March 2026

This paper addresses the problem of complete synchronization of chaotic systems subject to external disturbances and parameter uncertainties, proposing a robust control strategy based on radial basis function (RBF) neural network fusion with a distur...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Feature Paper
  • Article
  • Open Access
761 Views
14 Pages

20 March 2026

This paper evaluates an Adaptive LASSO-MGARCH model for multivariate volatility forecasting, with applications in green and conventional bonds, equities, energy commodities, and EU carbon allowances. By introducing coefficient-specific adaptive penal...

(This article belongs to the Special Issue Time Series Forecasting for Green Finance and Sustainable Economics)
  • Article
  • Open Access
559 Views
9 Pages

Moduli Spaces of Arrangements of 12 Projective Lines with a Sextic Point

  • Meirav Amram,
  • Eran Lieberman,
  • Sheng-Li Tan,
  • Mina Teicher and
  • Xiao-Hang Wu

20 March 2026

In this paper, we classify moduli spaces of arrangements of 12 lines with a sextic point. We show that these moduli spaces can consist of more than two connected components. We also present defining equations of arrangements whose moduli spaces are n...

(This article belongs to the Special Issue Computational Geometry: Theory, Algorithms and Applications)
  • Article
  • Open Access
3 Citations
605 Views
20 Pages

20 March 2026

This paper examines the dynamics of positive solutions to a system of fuzzy difference equations, which provide effective tools for modeling dynamical systems with uncertain or imprecise parameters. The main objective is to establish the existence, u...

(This article belongs to the Special Issue Nonlinear Dynamics, Chaos, and Mathematical Physics)
  • Article
  • Open Access
730 Views
23 Pages

Depth-First Search-Based Malicious Node Detection with Honeypot Technology in Wireless Sensor Networks

  • Sercan Demirci,
  • Doğan Yıldız,
  • Durmuş Özkan Şahin and
  • Asmaa Alaadin

20 March 2026

Wireless sensor networks (WSNs) are highly susceptible to Denial-of-Service (DoS) attacks due to their resource-constrained and distributed nature. In this study, we propose a novel trust-based malicious node detection mechanism that leverages a Dept...

(This article belongs to the Topic Recent Advances in Security, Privacy, and Trust)
  • Article
  • Open Access
3 Citations
396 Views
12 Pages

20 March 2026

This study introduces and investigates the space of interval-valued Abel-convergent sequences, extending the classical notion of Abel convergence to sequences whose terms are closed and bounded intervals rather than real numbers. A suitable metric st...

(This article belongs to the Section C: Mathematical Analysis)
  • Article
  • Open Access
1 Citations
734 Views
24 Pages

20 March 2026

To address challenges in complex group decision-making (GDM)—specifically preference fuzziness, intricate subgroup segmentation, and non-cooperative behavior—this study proposes an adaptive consensus model based on probabilistic linguisti...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
15 Citations
1,433 Views
21 Pages

20 March 2026

Low Earth Orbit (LEO) mega-constellations are becoming the backbone of global communications, yet their cybersecurity remains critically under-addressed. Intrusion detection systems (IDSs) for such constellations face a unique trilemma of accuracy, e...

(This article belongs to the Special Issue New Advances in Network Security and Data Privacy)
  • Article
  • Open Access
1 Citations
615 Views
30 Pages

19 March 2026

In Social Internet of Vehicles (SIoV) environments, fog computing plays a crucial role in supporting real-time services by reducing the latency inherent in cloud-based architectures. However, fog nodes are typically deployed in physically exposed roa...

(This article belongs to the Special Issue Cryptography, Data Security, and Cloud Computing)
  • Article
  • Open Access
593 Views
15 Pages

19 March 2026

Multi-Key Fully Homomorphic Encryption (MK-FHE) is essential for secure multi-party computation but currently faces significant scalability bottlenecks due to linear computational growth and low bootstrapping throughput. To address these limitations,...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Feature Paper
  • Article
  • Open Access
607 Views
25 Pages

19 March 2026

We study a pharmaceutical scheduling problem with a hybrid batch-continuous manufacturing process in a distributed supply chain. The supply chain consists of heterogeneous plants and one distribution center. Each plant adopts an unrelated permutation...

(This article belongs to the Special Issue Intelligent and Nature-Inspired Heuristics for Optimization and Decision-Making Problems)
  • Feature Paper
  • Article
  • Open Access
712 Views
26 Pages

Dynamic Pricing of Multi-Peril Agricultural Insurance via Backward Stochastic Differential Equations with Copula Dependence and Reinforcement Learning

  • Yunjiao Pei,
  • Jun Zhao,
  • Yankai Chen,
  • Jianfeng Li and ,
  • Qiaoting Chen,
  • Zichen Liu,
  • Xiyan Li,
  • Yifan Zhai and
  • Qi Tang
  • + 4 authors+ 0 author

19 March 2026

Pricing multi-peril agricultural insurance under compound climate hazards demands a framework that captures stochastic dependence among heterogeneous perils, accommodates non-stationary loss dynamics, and supports adaptive policy optimisation. We dem...

(This article belongs to the Special Issue Mathematical Modeling for Economics and Finance: Probability, Stochastic Processes, and Differential Equations)
  • Article
  • Open Access
905 Views
30 Pages

Win-Win or Laissez-Faire? Benchmarking Sovereign ESG Efficiency in OECD Countries Using Two-Stage DEA

  • Po-Yuan Shih,
  • Ai-Chi Hsu,
  • Chia-Cheng Chen,
  • Dong-Her Shih and
  • Ming-Hung Shih

19 March 2026

While Environmental, Social, and Governance (ESG) criteria are extensively utilized for corporate evaluation, empirical evidence regarding sovereign ESG efficiency remains scarce. Existing national sustainability indices often fail to account for how...

(This article belongs to the Special Issue Mathematical Modeling of Energy Transition, Climate Finance, and Sustainable Economic Systems)
  • Article
  • Open Access
1 Citations
945 Views
24 Pages

19 March 2026

We provide a computational piecewise linear regression (CPLR) method with endogenous segmentation to construct accurate mathematical representations of data. The method models the unemployment–inflation relationship through a deterministic segm...

(This article belongs to the Special Issue New Advances in Mathematical Economics and Financial Modelling)
  • Article
  • Open Access
1 Citations
499 Views
16 Pages

19 March 2026

In the present work, a comparative study of a model of the nonlinear solidification of a binary melt in the presence of a quasi-equilibrium mushy region and a binary phase field model of an aqueous solution of NaCl in water is performed. Nonlinear mo...

(This article belongs to the Special Issue Mathematical Modeling and Numerical Analysis with Applications in Various Fields)
  • Article
  • Open Access
457 Views
10 Pages

Analytic Aspects of Weighted Delannoy Numbers

  • Lei Chen,
  • Yu-Yang Zhang and
  • Hao Pan

19 March 2026

The weighted Delannoy number D(a,b,c)(h,k) is a weighted generalization of the Delannoy number. We show that all zeros of the polynomial dn(a,b,c)(x):=∑k=0nD(a,b,c)(n−k,k)xk are real, distinct and lying in the open interval (−(ab+c+c)...

(This article belongs to the Special Issue Advances in Combinatorics, Discrete Mathematics and Graph Theory, 2nd Edition)

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Mathematics - ISSN 2227-7390