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Mathematical and Computational Applications, Volume 31, Issue 2

2026 April - 33 articles

Cover Story: Safe AI deployment in domains like autonomous driving requires quantifying predictive uncertainty to avoid critical errors. While estimating uncertainty for one-dimensional outputs is well-established, capturing it for complex, multivariate targets remains challenging. This paper introduces Tomographic Quantile Forests (TQF) to address this gap. Inspired by medical CT scans, TQF reconstructs multivariate conditional probability distributions, P(Y|X), by aggregating 1D projections from multiple directions. Unlike traditional methods that require training separate models per direction, TQF utilizes a single model to capture irregular, non-convex uncertainty landscapes. This provides a rigorous foundation for reliable multivariate AI predictions. View this paper
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Articles (33)

  • Article
  • Open Access
1,912 Views
25 Pages

Neuroevolution of Liquid State Machine Based on Neural Configurations and Positions

  • Carlos-Alberto López-Herrera,
  • Héctor-Gabriel Acosta-Mesa,
  • Efrén Mezura-Montes and
  • Jesús-Arnulfo Barradas-Palmeros

Liquid State Machines (LSMs), a reservoir computing model based on recurrent spiking neural networks, provide a powerful framework for solving spatiotemporal classification tasks by leveraging rich temporal dynamics and event-driven processing. Altho...

(This article belongs to the Special Issue New Trends in Computational Intelligence and Applications 2025)
  • Article
  • Open Access
848 Views
26 Pages

Diversity Management Techniques for the Upper-Bounded Hamiltonian p-Median Problem

  • José Alejandro Cornejo-Acosta,
  • Carlos Segura,
  • Jesús García-Díaz and
  • Julio César Pérez-Sansalvador

The Hamiltonian p-median problem (HpMP) generalizes the classical traveling salesperson (TSP) and the Hamiltonian cycle problems. The HpMP aims to find a collection of p non-intersecting cycles that span all the vertices of a given edge-weighted grap...

(This article belongs to the Special Issue Numerical and Evolutionary Optimization 2025)
  • Article
  • Open Access
1 Citations
615 Views
16 Pages

In this paper, we propose a Newton-inspired black-box optimization algorithm for multiobjective optimization in constrained ergodic Markov chain environments. The method is motivated by challenges in application areas, where decision-making under unc...

  • Article
  • Open Access
1,512 Views
21 Pages

Distributed denial-of-service (DDoS) attacks, a type of Denial-of-Service (DoS) attack in which the targeted server, service or network is overloaded with malicious traffic originating from various different sources with the aim of making such target...

(This article belongs to the Special Issue Celebrate the 30th Anniversary of Mathematical and Computational Applications (MCA))
  • Editorial
  • Open Access
1,179 Views
4 Pages

Applied optimization in automatic control and systems engineering involves developing and implementing mathematical methods to improve the performance and efficiency of automated systems [...]

(This article belongs to the Special Issue Applied Optimization in Automatic Control and Systems Engineering)
  • Article
  • Open Access
1,925 Views
13 Pages

Determining the Most Predictive Discipline in Olympic Triathlon: A Machine Learning Approach

  • Pablo García-González,
  • Luca A. Bianchini,
  • Andrea Fuk,
  • Simone Villanova and ,
  • José Antonio González-Jurado and
  • Maria Francesca Piacentini
  • + 1 author+ 0 author

Background: The aim of the present study was to identify the discipline with the greatest predictive value for overall performance in Olympic-distance triathlon. Methods: Data were extracted from the API (Application Programming Interface) service on...

  • Article
  • Open Access
2 Citations
604 Views
19 Pages

This research investigates the numerical analysis of a two-dimensional (2D) delay mixed integral equation (DMIE) of the second kind with a continuous kernel. The existence, uniqueness, stability, and convergence of the solution are rigorously establi...

(This article belongs to the Section Natural Sciences)
  • Article
  • Open Access
606 Views
26 Pages

A Method for Solving the Monge–Kantorovich Problem Using an Automaton and Wavelet Analysis

  • Armando Sánchez-Nungaray,
  • Marcelo Pérez-Medel,
  • Carlos González-Flores,
  • Raquiel R. López-Martínez and
  • Martín Solís-Pérez

This article introduces an automaton designed to improve feasible solutions to the Monge–Kantorovich (MK) problem, particularly effective when the cost function is continuous. To enhance its performance, a good initial solution is obtained usin...

(This article belongs to the Section Natural Sciences)
  • Article
  • Open Access
626 Views
15 Pages

Generalised Equations for Calculating Arsenic Removal Efficiency Using Synthetic Adsorbents

  • Monzur Alam Imteaz,
  • ABM Sharif Hossain,
  • Hassan Ahmed Rudayni,
  • Amimul Ahsan and
  • Shahriar Shams

This study develops generalised equations to predict arsenic removal efficiency during adsorption using synthetic sand, based on two key factors: adsorbent dose and temperature. Previous experimental investigations demonstrated that iron oxide coated...

(This article belongs to the Section Natural Sciences)
  • Article
  • Open Access
1 Citations
1,944 Views
29 Pages

Predicting loan defaults is a significant challenge for financial institutions; however, current machine learning techniques often encounter issues in areas such as data privacy, cross-institutional cooperation, and model transparency. The restrictio...

  • Article
  • Open Access
2 Citations
1,659 Views
19 Pages

SCAFormer: Side-Channel Analysis Based on a Transformer with Focal Modulation

  • Longde Yan,
  • Aidong Chen,
  • Wenwen Chen,
  • Jiawang Huang and ,
  • Yanlong Zhang,
  • Shuo Wang and
  • Jing Zhou
  • + 2 authors+ 0 author

With the rapid development of Internet technology, information security has become increasingly important. Cryptographic analysis techniques, especially side-channel analysis (SCA), pose a significant threat to security systems. The latest SCA techno...

  • Article
  • Open Access
1,070 Views
23 Pages

Glass artworks represent a significant component of cultural heritage, yet their surfaces are highly vulnerable to physicochemical weathering resulting from composition-dependent interactions with environmental factors. Understanding the complex and...

(This article belongs to the Special Issue Celebrate the 30th Anniversary of Mathematical and Computational Applications (MCA))
  • Article
  • Open Access
1,558 Views
36 Pages

Quantifying predictive uncertainty is essential for safe and trustworthy real-world AI deployment. However, the fully nonparametric estimation of conditional distributions remains challenging for multivariate targets. We propose Tomographic Quantile...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
1,041 Views
26 Pages

There is a demand for a structurally sound fire detection and suppression system that can support a large deployable ground or space antenna in a lower Earth orbit (LEO) environment and remains thermally stable across the entire range of the LEO envi...

  • Article
  • Open Access
1,214 Views
25 Pages

On the Unambiguous, Traceable and Dimensionally Homogeneous Calculation of Per-Unit Parameters for the Two-Mass Drive Train Model of a Set of Reference Wind Turbines

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

The Bond Graph (BG) methodology, a multi-domain graphical description formalism, is used to study a horizontal-axis two-mass drive train of a wind turbine. The main contribution of this work is to address the lack of wind energy literature dealing wi...

(This article belongs to the Special Issue Numerical and Evolutionary Optimization 2025)
  • Article
  • Open Access
1 Citations
823 Views
24 Pages

Emergency facility location and layout are critical to the efficiency of emergency rescue and resource allocation. However, practical emergency scenarios are plagued by two key challenges: the risk of facility failure due to various uncertain factors...

(This article belongs to the Special Issue Applied Optimization in Automatic Control and Systems Engineering)
  • Systematic Review
  • Open Access
2 Citations
4,498 Views
41 Pages

Elastic cloud systems are increasingly employing machine learning (ML) to automate resource scaling in response to variable workloads and stringent service-level objectives. However, current ML-based autoscalers are fragmented across different platfo...

(This article belongs to the Special Issue Celebrate the 30th Anniversary of Mathematical and Computational Applications (MCA))
  • Article
  • Open Access
1,237 Views
23 Pages

Aiming at the poor robustness of maintenance schemes in industrial equipment maintenance projects, which arises from uncertain factors including fault degree, maintenance time, and resource availability, this paper proposes a synergistic cost-risk op...

  • Article
  • Open Access
934 Views
22 Pages

Cliff carvings, as significant art forms bearing historical, cultural, and religious connotations, face dual threats from natural weathering and human-induced damage. Their protection and restoration of the artistic style present pressing challenges....

(This article belongs to the Special Issue Advances in Computational and Applied Mechanics (SACAM))
  • Article
  • Open Access
1 Citations
2,281 Views
17 Pages

Sequential recommendation systems face challenges in integrating local sequential patterns with global collaborative information. While Transformers capture long-term dependencies through self-attention, they suffer from quadratic complexity. State-s...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
3 Citations
4,401 Views
20 Pages

This study develops a hybrid framework integrating ensemble learning with explainable artificial intelligence to address the methodological challenge of balancing predictive accuracy and interpretability in credit risk model comparison. Using the Ger...

  • Article
  • Open Access
1,199 Views
32 Pages

Time-fractional interface problems, found in heat transfer with discontinuous conductivities and fluid flows with surface tension forces, are challenging due to irregular interfaces and the history-dependent nature of fractional derivatives. This pap...

(This article belongs to the Special Issue Celebrate the 30th Anniversary of Mathematical and Computational Applications (MCA))
  • Article
  • Open Access
1,110 Views
27 Pages

We investigate cost optimization in an M/Coxk/1 queueing system with phase-dependent service speeds. A unified parametric framework is introduced to model both homogeneous and heterogeneous service regimes, and closed-form expressions for steady-stat...

  • Feature Paper
  • Article
  • Open Access
2,073 Views
26 Pages

Human civilization embodies a rich cultural heritage shaped over long historical periods by numerous ethnic groups, each employing distinctive motifs and patterns in religious spaces, architecture, clothing, utensils, and other artifacts. Such motifs...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
1 Citations
1,716 Views
18 Pages

This work introduces a new mathematical model designed to describe the glucose–insulin dynamics associated with a glucose-responsive smart microneedle patch reported in the literature. The model captures the complete sequence of the patch behav...

  • Article
  • Open Access
852 Views
31 Pages

The existing methods for solving non-linear equations encounter convergence issues and computing constraints, especially when used in fractional-order or complex non-linear problems. This study develops a higher-order fractional technique for solving...

(This article belongs to the Topic Fractional Calculus, Symmetry Phenomenon and Probability Theory for PDEs, and ODEs)
  • Article
  • Open Access
1 Citations
1,888 Views
36 Pages

Customer Lifetime Value (CLV) estimation over the observed transactional horizon is a fundamental challenge in hospitality analytics, supporting revenue management, personalization, and long-term customer relationship strategies. However, existing mo...

  • Article
  • Open Access
1,323 Views
25 Pages

A Belief Model for BDI Agents Derived from Roles and Personality Traits

  • Eduardo David Martínez-Hernández,
  • Bárbara María-Esther García-Morales,
  • María Lucila Morales-Rodríguez,
  • Claudia Guadalupe Gómez-Santillán and
  • Nelson Rangel-Valdez

Recent advancements in AI have enabled autonomous agents to interact within complex environments, with deliberative BDI (Belief–Desire–Intention) agents standing out for their human-inspired reasoning capabilities. However, defining the i...

(This article belongs to the Special Issue Numerical and Evolutionary Optimization 2025)
  • Article
  • Open Access
1 Citations
867 Views
23 Pages

For few-shot image classification tasks, the recognition accuracy of existing models remains limited due to the inherent complexity of the few-shot learning setting. To address this challenge, this paper proposes a few-shot image classification appro...

  • Article
  • Open Access
2 Citations
2,593 Views
24 Pages

Face Recognition System Using CLIP and FAISS for Scalable and Real-Time Identification

  • Antonio Labinjan,
  • Sandi Baressi Šegota,
  • Ivan Lorencin and
  • Nikola Tanković

Face recognition is increasingly being adopted in industries such as education, security, and personalized services. This research introduces a face recognition system that leverages the embedding capabilities of the CLIP model. The model is trained...

  • Article
  • Open Access
1,374 Views
18 Pages

Anomaly identification and fault localization of wind turbines through Supervisory Control and Data Acquisition (SCADA) data is a popular topic today, but most studies overlook the complex time-space interdependence between wind turbine (WT) SCADA va...

  • Article
  • Open Access
1,571 Views
43 Pages

An Adaptive Grouping Genetic Algorithm with Controlled Gene Transmission Based on Fullness and Item Strategies (AGGA-CGT-FIS)

  • Stephanie Amador-Larrea,
  • Marcela Quiroz-Castellanos,
  • Octavio Ramos-Figueroa and
  • Alejandro Guerra-Hernández

The one-dimensional Bin Packing Problem (1D-BPP) is a well-known NP-hard grouping problem characterized by high structural complexity and broad practical relevance. Among the metaheuristic approaches proposed for this problem, the Grouping Genetic Al...

(This article belongs to the Special Issue Numerical and Evolutionary Optimization 2025)
  • Article
  • Open Access
3 Citations
2,042 Views
26 Pages

This paper presents a real-time adaptive Linear Quadratic Regulator (LQR) control strategy for the rotary inverted pendulum. The state weighting matrix of the LQR cost function is continuously adapted online based on real-time tracking error, state d...

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Math. Comput. Appl. - ISSN 2297-8747