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Mathematics, Volume 13, Issue 22

2025 November-2 - 162 articles

Cover Story: Can one visualize wave operators and scattering operators, whose existence is usually established only through abstract proofs? We propose an explicitly solvable model in the discrete half-space in which the action of these operators can be visualized using arrows. By computing the explicit formulas for the wave and scattering operators, this work provides a novel visual representation of their action and of their standard properties. These figures also offer a new perspective on wold's decomposition, a seminal result in operator theory. These investigations show how abstract results from operator theory can be intuitively understood through a simple and explicit dynamical model. View this paper
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Articles (162)

  • Article
  • Open Access
389 Views
31 Pages

Shrinkage Approaches for Ridge-Type Estimators Under Multicollinearity

  • Marwan Al-Momani,
  • Bahadır Yüzbaşı,
  • Mohammad Saleh Bataineh,
  • Rihab Abdallah and
  • Athifa Moideenkutty

20 November 2025

Multicollinearity is a common issue in regression analyses that occurs when some predictor variables are highly correlated, leading to unstable least squares estimates of model parameters. Various estimation strategies have been proposed to address t...

  • Feature Paper
  • Article
  • Open Access
365 Views
19 Pages

20 November 2025

This paper investigates an infinite-horizon optimal consumption and investment problem for an agent who consumes two types of goods: necessities and luxuries. The agent derives utility from both goods but faces a ratcheting constraint on luxury consu...

  • Review
  • Open Access
370 Views
20 Pages

20 November 2025

Index modulation (IM) has attracted increasing research attention in recent years. Spatial modulation (SM) as a popular IM scheme is effective to increase spectral efficiency using the antenna index to transmit extra information bits. It can also add...

  • Article
  • Open Access
511 Views
20 Pages

EDICA: A Hybrid Ensemble Architecture Using Deep Learning Models for Fine-Grained Image Classification

  • Juan Paulo Sánchez Hernández,
  • Alan J. González Hernández,
  • Juan Frausto Solis,
  • Deny Lizbeth Hernández Rabadán,
  • Javier González-Barbosa and
  • Guadalupe Castilla Valdez

20 November 2025

This work presents EDICA, a two-stage architecture for fine-grained image classification, which is a hybrid model for the detection and classification task. The model employs YOLOv8 for the detection stage and an ensemble deep learning model that uti...

  • Feature Paper
  • Article
  • Open Access
542 Views
25 Pages

20 November 2025

Machine learning has emerged as a promising tool to accelerate the screening of lithium–ion battery electrode materials. Gravimetric capacity, a critical performance indicator governing electrode energy density, is intrinsically related to lith...

  • Feature Paper
  • Article
  • Open Access
799 Views
27 Pages

20 November 2025

Deep learning has demonstrated significant promise in medical image analysis; however, standard CNNs frequently encounter challenges in detecting subtle and intricate features vital for accurate diagnosis. To address this limitation, we systematicall...

  • Article
  • Open Access
336 Views
40 Pages

20 November 2025

To address the problems of the traditional Supply–Demand Optimization (SDO) algorithm in wireless sensor network (WSN) node deployment—such as blind search direction, weak global exploration capability, coarse boundary handling, and insuf...

  • Feature Paper
  • Article
  • Open Access
881 Views
29 Pages

Semantics-Driven 3D Scene Retrieval via Joint Loss Deep Learning

  • Juefei Yuan,
  • Tianyang Wang,
  • Shandian Zhe,
  • Yijuan Lu,
  • Zhaoxian Zhou and
  • Bo Li

20 November 2025

Three-dimensional (3D) scene model retrieval has emerged as a novel and challenging area within content-based 3D model retrieval research. It plays an increasingly critical role in various domains, such as video games, film production, and immersive...

  • Article
  • Open Access
443 Views
17 Pages

20 November 2025

This paper examines H(·,·)-accretive mappings in Banach spaces and proves that the resolvent operator related to these mappings is Lipschitz continuous. Using the resolvent operator technique, we formulate iterative algorithms to solve...

  • Article
  • Open Access
350 Views
26 Pages

20 November 2025

In spite of great successes of the inertial step approach (ISA) in various fields, we are investigating the converse inertial step approach (CISA) for the first time. First, the classical Picard iteration for solving nonexpansive mappings converges w...

  • Feature Paper
  • Article
  • Open Access
554 Views
28 Pages

20 November 2025

Alzheimer’s disease (AD) affects over 55 million individuals worldwide, yet no transformative disease-modifying therapies exist. Mathematical modelling provides a powerful framework to elucidate complex disease mechanisms, predict therapeutic o...

  • Article
  • Open Access
1,777 Views
27 Pages

20 November 2025

This paper investigates the volatility spillover effects from the crude oil market to domestic stock markets using high-frequency data. We propose an enhanced methodology, the MS-HAR-TVP model, which extends the standard HAR framework. Our model deco...

  • Article
  • Open Access
647 Views
23 Pages

Anatomical Alignment of Femoral Radiographs Enables Robust AI-Powered Detection of Incomplete Atypical Femoral Fractures

  • Doyoung Kwon,
  • Jin-Han Lee,
  • Joon-Woo Kim,
  • Ji-Wan Kim,
  • Sun-jung Yoon,
  • Sungmoon Jeong and
  • Chang-Wug Oh

20 November 2025

An Incomplete Atypical femoral fracture is subtle and requires early diagnosis. However, artificial intelligence models for these fractures often fail in real-world clinical settings due to the “domain shift” problem, where performance de...

  • Feature Paper
  • Article
  • Open Access
520 Views
21 Pages

High-Resolution Numerical Scheme for Simulating Wildland Fire Spread

  • Vasileios G. Mandikas and
  • Apostolos Voulgarakis

20 November 2025

Predicting wildland fire spread requires numerical schemes that can resolve sharp gradients at the fireline while remaining stable and efficient on practical grids. We develop a compact high-order finite-difference scheme for Hamilton–Jacobi le...

  • Article
  • Open Access
378 Views
38 Pages

19 November 2025

This study addresses the preassigned-time (PDT) projective lag synchronization of octonion-valued BAM neural networks (OV-BAMNNs) through exponential quantized event-triggered control (ETC). First, an OV-BAMNN model incorporating discontinuous activa...

  • Article
  • Open Access
1,101 Views
35 Pages

19 November 2025

This paper investigates how institutional investors address the double externalities of green innovation (knowledge spillovers and environmental benefits) in China’s transition economy. Methodologically, we integrate fixed-effects econometric m...

  • Feature Paper
  • Article
  • Open Access
411 Views
32 Pages

19 November 2025

This paper introduces a novel closed-loop optimal controller that integrates the Extreme Theory of Functional Connections (X-TFC) with receding horizon control (RHC), referred to as X-TFC-RHC. The controller reformulates a sequence of linearized or q...

  • Article
  • Open Access
331 Views
22 Pages

19 November 2025

The goal of this manuscript is the study of an optimal control problem. It consists on the minimization of the compliance functional when the state equation is the nonlocal p-laplacian and the control is the source of this equation. For this problem,...

  • Review
  • Open Access
611 Views
28 Pages

19 November 2025

In this paper, we shall give a concise review of recent numerical methods of some generalized fractional models. As is elucidated later, the generalized fractional models may arise from either mathematical point of view or application point of view....

  • Article
  • Open Access
581 Views
19 Pages

19 November 2025

Depth from focus (DFF) is an optical, passive method that perceives the dense depth map of a real-world scene by exploiting the focus cue through a focal stack, a sequence of images captured at different focal distances. In DFF methods, first, a focu...

  • Article
  • Open Access
529 Views
26 Pages

19 November 2025

E-learning systems that support personalized learning require sophisticated decision-making methods to adapt content to students optimally. This paper deals with applying multi-criteria decision-making methods in assigning learning objects in an e-le...

  • Article
  • Open Access
1,123 Views
22 Pages

19 November 2025

Although physics-informed neural networks (PINNs) offer a novel, mesh-free paradigm for computational fluid dynamics (CFD), existing models often suffer from poor stability and insufficient accuracy, particularly when dealing with complex flows at hi...

  • Article
  • Open Access
1 Citations
685 Views
32 Pages

19 November 2025

The research examines how digital inclusive finance reshapes the rural labor market using an auditable index system and an interpretable learning pipeline. We construct a four-pillar framework for the rural labor market covering labor behavior, labor...

  • Feature Paper
  • Article
  • Open Access
536 Views
38 Pages

Deep Learning-Enhanced Iterative Modified Contrast Source Method for Electromagnetic Imaging in Half-Space

  • Wei-Tsong Lee,
  • Chien-Ching Chiu,
  • Po-Hsiang Chen,
  • Yen-Chun Li and
  • Hao Jiang

19 November 2025

This paper presents a hybrid inversion framework that integrates a physics-informed iterative algorithm with a deep learning-based refinement strategy to address the electromagnetic inverse scattering problem of a uniaxial object buried in lossy half...

  • Feature Paper
  • Article
  • Open Access
506 Views
20 Pages

19 November 2025

Transportation planning often involves not only shipment costs but also setup costs associated with deploying vehicles or transport resources. In many practical logistics operations, this setup cost does not remain constant but increases stepwise wit...

  • Article
  • Open Access
516 Views
13 Pages

Reducing Fuel Consumption in Aircraft: A Cruising Strategy-Based Approach

  • Marta Zárraga-Rodríguez,
  • Francisco Velásquez-SanMartín,
  • Juliana Solórzano-Ochoa,
  • Jesús Gutiérrez-Gutiérrez and
  • Xabier Insausti

19 November 2025

The increasing environmental concerns related to aircraft carbon dioxide (CO2) emissions call for efficient fuel-saving strategies. This study proposes an alternative cruising strategy to minimize fuel consumption during the cruise flight phase by in...

  • Article
  • Open Access
491 Views
47 Pages

19 November 2025

This paper presents a comprehensive strategy for addressing tracking and disturbance rejection for both lumped and distributed parameter systems, focusing on infinite-dimensional input and output spaces. Building on the geometric theory of regulation...

  • Article
  • Open Access
287 Views
19 Pages

Stochastic Formulation of Multiscale Model of Hepatitis B Viral Infections

  • Oladele Toyin Ogunfowote,
  • Winston Garira and
  • Kizito Muzhinji

19 November 2025

The study investigates and analyzes certain qualitative properties of a stochastic dynamical multiscale model for hepatitis B viral infection. By formulating appropriate stochastic Lyapunov functions, the study derives sufficient conditions for the e...

  • Article
  • Open Access
404 Views
21 Pages

19 November 2025

This work explores the issue of identifying sub-synchronous oscillations (SSOs). Regular detection techniques face issues with response timings to variations in viewpoint and adaptability to variations in conditions of the system but our proposed met...

  • Article
  • Open Access
301 Views
22 Pages

18 November 2025

A model of gene regulatory networks with generalized Caputo fractional derivatives with respect to another function is set up in this paper. The main characteristic of the model is the presence of a switching rule, which changes at certain times at b...

  • Article
  • Open Access
519 Views
21 Pages

18 November 2025

The drive system of pure electric vehicles is characterized by high transmission efficiency and a rapid torque response, with the centralized drive configuration being the most commonly adopted. To improve the dynamic performance and reliability of s...

  • Article
  • Open Access
469 Views
29 Pages

Supervised Feature Selection Method Using Stackable Attention Networks

  • Zhu Chen,
  • Wei Jiang,
  • Jun Tan,
  • Zhiqiang Li and
  • Ning Gui

18 November 2025

Mainstream DNN-based feature selection methods share a similar design strategy: employing one specially designed feature selection module to learn the importance of features along with the model-training process. While these works achieve great succe...

  • Article
  • Open Access
320 Views
14 Pages

18 November 2025

In this paper, we study the topology of steady gradient Ricci solitons with nonnegative sectional curvature. We apply a characterization theorem for the fundamental group of a positively curved steady gradient Ricci soliton that admits a critical poi...

  • Article
  • Open Access
290 Views
27 Pages

18 November 2025

The purpose of this research is to develop approximate weak and strong stationary conditions for interval-valued multiobjective optimization problems with vanishing constraints (IVMOPVC) involving nonsmooth functions. In many real-world situations, t...

  • Article
  • Open Access
331 Views
23 Pages

18 November 2025

Many authors analyze the chaotic motion of the driven and damped double sine-Gordon equations and compute the Melnikov functions by numerical methods, taking an example to verify good agreement between numerical methods and analytical ones. Unfortuna...

  • Article
  • Open Access
367 Views
20 Pages

18 November 2025

Quantum calculus is a powerful extension of classical calculus, providing novel tools for deriving sharper and more efficient analytical results without relying on limits. This study investigates error estimations for Milne formula-type inequalities...

  • Article
  • Open Access
4 Citations
538 Views
16 Pages

Chaos and Bifurcations in the Dynamics of the Variable-Order Fractional Rössler System

  • Athar I. Ahmed,
  • Mohamed Elbadri,
  • Naseam Al-kuleab,
  • Dalal M. AlMutairi,
  • Nidal E. Taha and
  • Mohammed E. Dafaalla

18 November 2025

This article investigates the chaotic features of a novel variable-order fractional Rössler system built with Liouville–Caputo derivatives of variable order. Variable-order fractional (VOF) operators incorporated in the system render its d...

  • Article
  • Open Access
479 Views
22 Pages

Some Remarks Regarding MTL and Divisible Residuated Algebras

  • Cristina Flaut,
  • Dana Piciu and
  • Radu Vasile

18 November 2025

Divisible residuated lattices and MTL algebras are algebraic structures connected with algebras in t-norm-based fuzzy logics, being examples of residuated lattices. They are an important topic in the study of fuzzy logic. The purpose of this paper is...

  • Article
  • Open Access
1,029 Views
28 Pages

18 November 2025

In recent years, many constrained multi-objective evolutionary algorithms (CMOEAs) have primarily emphasized feasible solutions, overlooking the useful information contained in infeasible ones. This tendency effectively prioritizes feasibility over o...

  • Article
  • Open Access
1 Citations
914 Views
22 Pages

18 November 2025

The elastic support structure is widely employed in rotor systems and has an important influence on the nonlinear vibration of such systems. Nevertheless, coupled motion between elastic supports and bearings has not been taken into account, and the c...

  • Article
  • Open Access
330 Views
30 Pages

Subsymmetric Polynomials on Banach Spaces and Their Applications

  • Vitalii Bihun,
  • Daryna Dolishniak,
  • Viktoriia Kravtsiv and
  • Andriy Zagorodnuyk

18 November 2025

We investigate algebraic and topological properties of subsymmetric polynomials on finite- and infinite-dimensional spaces. In particular, we focus on the problem of the existence of an algebraic basis in the algebra of subsymmetric polynomials, as w...

  • Article
  • Open Access
1 Citations
372 Views
29 Pages

18 November 2025

This study offers a comprehensive study of power quality in industrial rolling mill grids, focusing on total harmonic distortion (THD) and its forecasting under different operational conditions. The research begins with a measurement-based evaluation...

  • Article
  • Open Access
508 Views
29 Pages

18 November 2025

The growth of intelligent manufacturing systems has led to a wealth of computation-intensive tasks with complex dependencies. These tasks require an efficient offloading architecture that balances responsiveness and energy efficiency across distribut...

  • Article
  • Open Access
2,576 Views
17 Pages

17 November 2025

Large language models (LLMs) have traditionally relegated inference to remote servers, leaving mobile devices as thin clients. Recently, advances in mobile GPUs and NPUs have made on-device inference increasingly feasible, particularly for privacy-se...

  • Article
  • Open Access
326 Views
22 Pages

17 November 2025

This study considers general Markov chains (MCs) with discrete time in an arbitrary phase space. The transition function of the MC generates two operators: T, which acts on the space of measurable functions, and A, which acts on the space of bounded...

  • Article
  • Open Access
724 Views
23 Pages

17 November 2025

Reasoning over Temporal Knowledge Graphs (TKGs) aims to forecast future events based on historical ones. Existing approaches typically enforce strict temporal order constraints among past events; however, such rigidity limits the effective exploitati...

  • Article
  • Open Access
575 Views
29 Pages

17 November 2025

In federated learning, secure aggregation is essential to protect the confidentiality of local model updates, ensuring that the server can access only the aggregated result without exposing individual contributions. However, conventional secure aggre...

  • Feature Paper
  • Article
  • Open Access
488 Views
20 Pages

17 November 2025

The Industrial Internet of Things (IIoT) integrates a wide range of devices and identities, making the protection of sensitive industrial data a critical challenge. However, existing centralized systems still face limitations such as single points of...

  • Article
  • Open Access
1 Citations
362 Views
15 Pages

17 November 2025

This paper is devoted to the investigation of existence and approximate controllability results for a class of fractional integro-differential equations formulated in Fréchet spaces. The analysis is carried out using a generalized version of D...

  • Article
  • Open Access
365 Views
17 Pages

The Region of Attraction for Output Tracking in Probabilistic Boolean Control Networks

  • Bingquan Chen,
  • Yuyi Xue,
  • Meiyu Li,
  • Jin-Jin Mao and
  • Aiju Shi

17 November 2025

This paper investigates the asymptotic output tracking problem in probabilistic Boolean control networks by introducing the concept of the tracking region of attraction (TROA). For a constant reference signal, we provide a formal definition of the TR...

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Mathematics - ISSN 2227-7390