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Mathematical and Computational Applications, Volume 31, Issue 1

2026 February - 32 articles

Cover Story: The performance of convolutional neural networks (CNNs) is influenced by model architecture and the quality of training data. This study presents a framework utilizing synthetic datasets to control visual features, enabling a systematic evaluation of their impact on CNN performance. By applying set theory, Shapley values, and the Apriori algorithm, it formalizes a link between CNN kernel weights and pattern frequency counts. The construction of four synthetic digit datasets, training lightweight CNNs through K-fold validation, and statistical cross-dataset evaluation show that internal object patterns enhance accuracy and F1 scores over non-object backgrounds. A dataset similarity prediction algorithm demonstrates a strong correlation (ρ = 0.97) between predicted and actual performance. View this paper
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Articles (32)

  • Article
  • Open Access
346 Views
17 Pages

A Transfer-Learning Approach for Detection of Multiclass Synthetic Skin Cancer Images Generated by Deep Generative Models to Prevent Medical Insurance Fraud

  • Osama Tariq,
  • Muhammad Asad Arshed,
  • Muhammad Kabir,
  • Khalid Ijaz,
  • Ştefan Cristian Gherghina and
  • Hafiza Bukhtawer Batool

Artificial Intelligence is advancing rapidly, raising critical concerns about the integrity of digital content, particularly in sensitive domains such as medical imaging. Recent AI techniques, such as Generative Adversarial Networks (GANs) and diffus...

  • Communication
  • Open Access
215 Views
12 Pages

Biopharmaceuticals are therapeutic drugs engineered to target specific sites within the body. Their manufacturing process comprises two primary stages: upstream processing (USP) and downstream processing (DSP). USP primarily involves cell culture and...

  • Systematic Review
  • Open Access
195 Views
31 Pages

Techniques Applied to Autonomous Liquid Pouring: A Scoping Review

  • Jeeangh Jennessi Reyes-Montiel,
  • Ericka Janet Rechy-Ramirez and
  • Antonio Marin-Hernandez

In recent years, autonomous liquid pouring systems have gained more relevance, with applications from daily service tasks to complex industrial operations. While seemingly simple for humans, this task poses major challenges for automated systems, as...

  • Article
  • Open Access
180 Views
40 Pages

Distributed databases are increasingly used in enterprise and cloud environments, but their distributed architecture introduces significant security challenges, including data leaks and insider threats. In the context of escalating cyber threats targ...

  • Article
  • Open Access
234 Views
13 Pages

Unifying Models of Trophic Exploitation: A Mathematical Framework for Understanding the Paradox of Enrichment

  • Lindomar Soares dos Santos,
  • Brenno Caetano Troca Cabella and
  • Alexandre Souto Martinez

The rapid increase in the world’s human population has largely been attributed to efforts aimed at enhancing primary productivity and enriching food resources. However, an intriguing proposition of M. Rosenzweig, known as the paradox of enrichm...

  • Review
  • Open Access
277 Views
38 Pages

Understanding S-Box Security Assessment: A Practical Guide

  • David Carcaño Ventura,
  • Lil María Xibai Rodríguez-Henríquez and
  • Saúl E. Pomares Hernández

S-boxes are the core nonlinear components of ciphers, providing confusion and diffusion. As a result, cryptanalysts focus on analyzing these components to identify distinguishers and ultimately recover the secret key of the cipher. Although many cons...

  • Editorial
  • Open Access
155 Views
4 Pages

Feature Paper Collection of Mathematical and Computational Applications—2025

  • Gianluigi Rozza,
  • Oliver Schütze and
  • Nicholas Fantuzzi

This Special Issue comprises the fifth collection of papers submitted by both the Editorial Board Members (EBMs) of the journal Mathematical and Computational Applications (MCA) and the outstanding scholars working in the core research fields of MCA...

  • Article
  • Open Access
240 Views
26 Pages

Hilbert’s axiom system for geometry is a landmark in formal methods. This paper presents a complete formalization of spatial perpendicularity—a theory not fully developed in Hilbert’s original work—using the Rocq proof assista...

  • Article
  • Open Access
240 Views
20 Pages

Research on Scheduling of Metal Structural Part Blanking Workshop with Feeding Constraints

  • Yaping Wang,
  • Xuebing Wei,
  • Xiaofei Zhu,
  • Lili Wan and
  • Zihui Zhao

Taking a metal structural part blanking workshop as the application background, this study addresses the challenges of high material variety, long crane feeding travel caused by heterogeneous line-side storage layouts, and frequent machine stoppages...

  • Article
  • Open Access
297 Views
17 Pages

The Collatz map is investigated from a nonlinear-dynamics perspective with emphasis on the structure of its iterative orbits. By embedding integers within Sharkovsky’s ordering, odd initial values are shown to be sufficient for a complete chara...

  • Article
  • Open Access
228 Views
20 Pages

This study investigates the Lie point and Q-conditional symmetries of a classical two-component reaction–diffusion system in one spatial dimension. The symmetry classifications for the reaction–diffusion system and corresponding symmetry...

  • Article
  • Open Access
287 Views
27 Pages

Yellow fever (YF) and malaria co-infections are real public health concerns in Africa, especially in countries such as Nigeria, where mosquitoes carrying both pathogens (Aedes for YF, Anopheles for malaria) coexist. A mathematical model that consider...

  • Article
  • Open Access
215 Views
28 Pages

New Adaptive Echolocation Radar Technique Incorporated into the Bat Algorithm Applied to Benchmark Functions (Radar-Bat)

  • Miguel A. García-Morales,
  • Rubén Salas-Cabrera,
  • Bárbara María-Esther García-Morales,
  • Juan Frausto-Solís and
  • Joel Rodríguez-Guillén

This article proposes a bat algorithm that incorporates novel techniques inspired by maritime radars, referred to as the Radar-Bat algorithm. This proposed method allows each virtual bat to identify the position of the best solution at a given distan...

  • Article
  • Open Access
300 Views
23 Pages

The increasing global reliance on wind and solar energy underscores the critical vulnerability of renewable systems to extreme weather, which can severely disrupt power generation. Accurately modelling the complex, multivariate dependencies of weathe...

  • Article
  • Open Access
263 Views
26 Pages

Accurate mapping of land use and land cover (LULC) is crucial for various applications such as urban planning, environmental management, and sustainable development, particularly in rapidly growing urban areas. African cities such as Yaoundé,...

  • Article
  • Open Access
252 Views
21 Pages

Accurate sales prediction is crucial for inventory and marketing in e-commerce. Cross-border sales involve complex patterns that traditional models cannot capture. To address this, we propose an improved Bidirectional Long Short-Term Memory (BiLSTM)...

  • Article
  • Open Access
236 Views
13 Pages

Gaining Understanding of Neural Networks with Programmatically Generated Data

  • Eric O’Sullivan,
  • Ken Kennedy and
  • Jean Mohammadi-Aragh

The performance of convolutional neural networks (CNNs) depends not only on model architecture but also on the structure and quality of the training data. While most artificial network interpretability methods focus on explaining trained models, less...

  • Article
  • Open Access
418 Views
25 Pages

To address the challenges of low precision, slow convergence, and poor anti-interference in traditional Particle Swarm Optimization (PSO) for Permanent Magnet Synchronous Motor (PMSM) speed control, a new Adaptive Hybrid Particle Swarm Optimization (...

  • Article
  • Open Access
344 Views
18 Pages

An Improved Approach Based on a New Laplace Model Using Classical and Risk Measures

  • Morad Alizadeh,
  • Gauss M. Cordeiro,
  • Jondeep Das,
  • Partha Jyoti Hazarika,
  • Javier E. Contreras-Reyes,
  • Mohamed S. Hamed and
  • Haitham M. Yousof

In this paper, we propose a generalized odd log-logistic standard Laplace model and study some of its main properties. The novelty of this model is based on classical and risk-based measures to effectively analyze the body mass index (BMI) data. The...

  • Article
  • Open Access
499 Views
27 Pages

IoTToe: Monitoring Foot Angle Variability for Health Management and Safety

  • Ata Jahangir Moshayedi,
  • Zeashan Khan,
  • Zhonghua Wang and
  • Mehran Emadi Andani

Toe-in (inward) and toe-out (outward) foot alignments significantly affect gait, posture, and joint stress, causing issues like abnormal gait, joint strain, and foot conditions such as plantar fasciitis and high arches. Addressing these alignments is...

  • Article
  • Open Access
255 Views
24 Pages

Performance Defect Identification in Switching Power Supplies Based on Multi-Strategy-Enhanced Dung Beetle Optimizer

  • Zibo Yang,
  • Jiale Guo,
  • Rui Li,
  • Guoqing An,
  • Kai Zhang,
  • Jiawei Liu and
  • Long Zhang

To address the limited defect-detection capability of existing performance testing methods for switching power supplies under varying operating conditions, this paper proposes a defect identification approach based on an enhanced Dung Beetle Optimize...

  • Article
  • Open Access
256 Views
16 Pages

The inconsistency of system parameters inevitably emerges due to reasons such as modeling imprecision, manufacturing error, and aging process. Due to the inconsistency between nominal models and real-world conditions, controllers designed accordingly...

  • Article
  • Open Access
400 Views
16 Pages

Clinical Prediction and Spatial Statistical Analysis of Ascending Thoracic Aortic Aneurysm Structure

  • Katalina Oviedo Rodríguez,
  • Alda Carvalho,
  • Rodrigo Valente,
  • José Xavier and
  • António Cruz Tomás

This study presents an analysis of data from patients with ascending thoracic aortic aneurysms (ATAAs). Two databases of 87 patients were available: one containing clinical variables and the other consisting of measurements of the maximum diameter ta...

  • Article
  • Open Access
579 Views
22 Pages

A Graph-Theoretical Approach to Bond Length Prediction in Flavonoids Using a Molecular Graph Model

  • Moster Zhangazha,
  • Alex Somto Arinze Alochukwu,
  • Elizabeth Jonck,
  • Ronald John Maartens,
  • Eunice Mphako-Banda,
  • Simon Mukwembi and
  • Farai Nyabadza

The accurate determination of bond lengths is fundamental to understanding molecular geometry and the physicochemical behavior of chemical compounds. However, obtaining these measurements is often challenging, as both experimental techniques and adva...

  • Article
  • Open Access
557 Views
21 Pages

Study of Performance from Hierarchical Decision Modeling in IVAs Within a Greedy Context

  • Francisco Federico Meza-Barrón,
  • Nelson Rangel-Valdez,
  • María Lucila Morales-Rodríguez,
  • Claudia Guadalupe Gómez-Santillán,
  • Juan Javier González-Barbosa,
  • Guadalupe Castilla-Valdez,
  • Nohra Violeta Gallardo-Rivas and
  • Ana Guadalupe Vélez-Chong

This study examines decision-making in intelligent virtual agents (IVAs) and formalizes the distinction between tactical decisions (individual actions) and strategic decisions (composed of sequences of tactical actions) using a mathematical model bas...

  • Article
  • Open Access
374 Views
14 Pages

Generalization of Log-Logistic Family with Quantile Regression Model

  • Fazlollah Lak,
  • Emrah Altun,
  • Morad Alizadeh,
  • Javier E. Contreras-Reyes and
  • Hamid Esmaeili

A new general class of distributions is proposed by applying the transformation to the random variable that follows the generalized odd-logistic family. Using the proposed family, we introduce a flexible Weibull distribution. The importance of the pr...

  • Article
  • Open Access
662 Views
25 Pages

This study reviews advanced extreme value theory techniques and applies them to extreme rainfall events recorded at two meteorological stations, Port Edward and Virginia, in the KwaZulu-Natal province of South Africa. The study aims to provide a comp...

  • Article
  • Open Access
339 Views
15 Pages

Active suspension systems can significantly enhance vehicle ride comfort and attitude stability, but often at the cost of increased energy consumption. To achieve both high dynamic performance and reduced energy usage, this study proposes an eigenstr...

  • Article
  • Open Access
377 Views
19 Pages

Modeling Diverse Hazard Shapes with the Power Length-Biased XLindley Distribution

  • Suresha Kharvi,
  • Muhammed Rasheed Irshad,
  • Christophe Chesneau and
  • Jabir Kakkottakath Valappil Thekkepurayil

In many fields, including engineering, biology and economics, modeling and analyzing lifetime data is crucial for understanding the reliability and survival characteristics of systems and components. To address the limitations of existing lifetime di...

  • Article
  • Open Access
286 Views
27 Pages

In this study, a comprehensive analysis of the fixed/preassigned-time synchronization of a class of quaternion-valued BAM (QBAM) neural networks with stochastic and impulsive effects is conducted. Unlike previous analysis methods, our method features...

  • Article
  • Open Access
451 Views
17 Pages

Urban catchments are increasingly vulnerable to hydrologic extremes driven by land-use change and climate variability, challenging the traditional assumption of stationarity. This study develops a computational framework to assess the nonstationary b...

  • Article
  • Open Access
421 Views
22 Pages

Advection–diffusion–reaction-type interface models have wide-ranging applications in environmental science, chemical engineering, and biological systems, particularly in modeling pollutant transport in groundwater, reactive flows, and dru...

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Math. Comput. Appl. - ISSN 2297-8747