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8th International Symposium on Modelling and Implementation of Complex Systems, MISC 2024

作者： Guidoum, Arsalane Chouaib Henider, Amel Department of Mathematics and Computer Science Faculty of Sciences and Technology University of Tamanghasset Tamanghasset11000 Algeria Department of Finance and Actuarial National Higher School of Statistics and Applied Economics Kolea42003 Algeria

ISBN: (纸本)9783031821110

The selection of optimal bandwidth bw in Kernel Density Estimation (KDE) is crucial for accurate density estimation. Traditional methods, such as unbiased and biased cross-validation and their variants, often suffer from performance and computational limitations. This study presents a novel, data-driven approach to bandwidth selection using unsupervised machine learning techniques. Synthetic samples are generated from the original data, a comprehensive set of statistical parameters is calculated, and bandwidth is estimated using a rule-of-thumb [2]. Feature importance is assessed through random forests (RF) to identify the most influential factors in bandwidth selection. Various unsupervised learning models are then applied to predict the optimal bandwidth for the original sample bwos. The results demonstrate that this machine learning-based approach achieves superior accuracy and computational efficiency compared to traditional cross-validation methods. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

关键词： Adversarial machine learning

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Cubature Kalman Fusion Filtering Under Amplify-and-Forward Relays With Randomly Varying Channel Parameters

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IEEE/CAA Journal of Automatica Sinica 2025年第2期12卷 356-368页

作者： Jiaxing Li Zidong Wang Jun Hu Hongli Dong Hongjian Liu the Department of Applied Mathematics Harbin University of Science and Technology IEEE the Department of Computer Science Brunel University London the School of Automation Harbin University of Science and Technology the Artificial Intelligence Energy Research Institute Northeast Petroleum University the Heilongjiang Provincial Key Laboratory of Networking and Intelligent Control Northeast Petroleum University the National Key Laboratory of Continental Shale Oil of China Northeast Petroleum University the Key Laboratory of Advanced Perception and Intelligent Control of High-End Equipment Ministry of Education Anhui Polytechnic University the School of Mathematics and Physics Anhui Polytechnic University

In this paper, the problem of cubature Kalman fusion filtering(CKFF) is addressed for multi-sensor systems under amplify-and-forward(AaF) relays. For the purpose of facilitating data transmission, AaF relays are utilized to regulate signal communication between sensors and filters. Here, the randomly varying channel parameters are represented by a set of stochastic variables whose occurring probabilities are permitted to exhibit bounded uncertainty. Employing the spherical-radial cubature principle, a local filter under AaF relays is initially constructed. This construction ensures and minimizes an upper bound of the filtering error covariance by designing an appropriate filter gain. Subsequently, the local filters are fused through the application of the covariance intersection fusion rule. Furthermore, the uniform boundedness of the filtering error covariance's upper bound is investigated through establishing certain sufficient conditions. The effectiveness of the proposed CKFF scheme is ultimately validated via a simulation experiment concentrating on a three-phase induction machine.

关键词： Amplify-and-forward (AaF) relays covariance intersection fusion cubature Kalman filtering multi-sensor systems uniform boundedness

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A Numerical Approach For The Algebra of Two-Fold 2 × 2 Fuzzy Real Matrices and Anti Fuzzy Matrices

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Neutrosophic Sets and Systems 2025年 75卷 181-195页

作者： Abubaker, Ahmad A. Abualhomos, Mayada Matarneh, Khaled Al-Husban, Abdallah Faculty of Computer Studies Arab Open University Saudi Arabia Applied Science Private University Amman11931 Jordan Department of Mathematics Faculty of Science and Technology Irbid Jordan National University P.O. Box: 2600 Irbid Jordan Jadara Research Center Jadara University Irbid21110 Jordan

This paper is dedicated to study for the first time the concept of square 2 × 2 fuzzy and anti-fuzzy two-fold matrix with real entries, where we present the two-fold algebraic operations between the these matrices and obtain their special properties such as associativity, commutative properties, and the existing of additive of multiplicative inverses. Also, we provide many examples to explain the two-fold algebraic properties and the two-fold algebraic structure. © 2025, University of New Mexico. All rights reserved.

关键词： Matrix algebra

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Estimation of Building Energy Demand Characteristics using Bayesian Statistics and Energy Signature Models

arXiv

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arXiv 2025年

作者： Smertinas, Justinas Nielsen, Nicolaj Hans Van Hove, Matthias Y.C. Bacher, Peder Madsen, Henrik Department of Applied Mathematics and Computer Science Technical University of Denmark Denmark

This work presents a scalable Bayesian modeling framework for evaluating building energy performance using smart-meter data from 2,788 Danish single-family homes. The framework leverages Bayesian statistical inference integrated with Energy Signature (ES) models to characterize thermal performance in buildings. This approach quantifies key parameters such as the Heat Loss Coefficient (HLC), solar gain, and wind infiltration, while providing full posterior distributions to reflect parameter uncertainty. Three model variants are developed: a baseline ES model, an auto-regressive model (ARX-ES) to account for thermal inertia, and an auto-regressive moving average model (ARMAX-ES) that approximates stochastic gray-box dynamics. Results show that model complexity improves one-step-ahead predictive performance, with the ARMAX-ES model achieving a median Bayesian R2 of 0.94 across the building stock. At the single-building level, the Bayesian approach yields credible intervals for yearly energy demand within ±1%, enabling more robust diagnostics than deterministic methods. Beyond improved accuracy, the Bayesian framework enhances decision-making by explicitly representing uncertainty in building performance parameters. This provides a more realistic foundation for investment prioritization, demand forecasting, and long-term energy planning. The method is readily applicable to other building typologies or geographies, offering a scalable tool for data-driven energy management under uncertainty. Copyright © 2025, The Authors. All rights reserved.

关键词： Information management

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Hesitant Bi-fuzzy Dombi Operator Based Group Decision-making Approach for Electric Vehicle Selection

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Process Integration and Optimization for Sustainability 2025年 1-35页

作者： Golui, S. Das, Bidyut Mahapatra, G.S. Mahapatra, B.S. Department of Engineering Sciences and Humanities Siliguri Institute of Technology Siliguri734009 India Department of Applied Mathematics Maulana Abul Kalam Azad University of Technology Haringhata741249 India Department of Master of Computer Applications Siliguri Institute of Technology Siliguri734009 India Department of Mathematics National Institute of Technology Puducherry Karaikal609609 India School of Applied Science and Humanities Haldia Institute of Technology Haldia721657 India

Electric vehicles (EVs) are one of the sustainable modes of transportation that can reduce the air pollution caused by fossil fuel-powered automobiles. The literature overlooks non-technical criteria, including environmental considerations and social responsibility in the EV selection process, which may navigate the adoption of EVs. This study addresses the EV selection process in the hesitant bi-fuzzy context, considering technical and non-technical EV features. A multi-criteria group decision-making approach is developed to evaluate EVs utilizing a modified hesitant bi-fuzzy COmbinative Distance-based Assessment technique. This study proposes a novel hesitant bi-fuzzy Dombi weighted average operator to integrate the decision maker’s opinions with their weightage. The proposed approach incorporates the importance of the criteria evaluated by the method based on the removal effects of criteria and hesitant information in Euclidean and Taxicab metrics to produce the ranking sequence of EVs. The Python code for the suggested group decision-making model is provided to rationalize the computational process. This study highlights the relative importance of charging time, price, and range compared to the remaining features in selecting EVs. The study’s findings indicate that the technical features of an EV are still a primary consideration for the customers. These findings will assist policymakers and EV industry stakeholders in making decisions to focus on EV modification. A comparative analysis with the existing decision-making models encompasses the applicability of the proposed technique. In contrast, the sensitivity analysis demonstrates the suggested approach’s robustness through the alteration in decision makers’ s preferences, internal parameters, and criteria importance to assess their impact on the final rankings of EVs. © The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd. 2025.

关键词： Electric vehicles

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A New Hybrid PSO-HHO Wrapper Based Optimization For Feature Selection

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IEEE Access 2025年 13卷 87090-87099页

作者： Azeem, Sumbul Javed, Shazia Naseer, Iftikhar Ali, Oualid Ghazal, Taher M. Lahore College for Women University Department of Mathematics Jail Road Lahore54000 Pakistan Superior University Faculty of Computer Science and Information Technology Lahore54000 Pakistan Applied Science University College of Arts & Science P.O.Box 5055 Manama Bahrain Al-Ahliyya Amman University Hourani Center for Applied Scientific Research Department of Networks and Cybersecurity Amman19111 Jordan

Datasets used in data analysis often contain irrelevant or redundant attributes. These attributes hinder the performance of predictive models. Therefore, an effective preprocessing feature selection procedure is essential to identify the relevant features and eliminate unnecessary ones. Metaheuristic algorithms, inspired mainly by nature, are strong candidates for the feature selection process, as they can efficiently search large solution spaces. Metaheuristic algorithms provide flexible strategies for complex optimization problems such as traveling salesman problem, scheduling problems, nonlinear integer programming, and multi-objective optimization. Reasonably balancing exploration and exploitation will increase the search algorithm’s performance. This research combines Particle Swarm Optimization (PSO) and Harris Hawk Optimization (HHO) to form a Hybrid PSO-HHO approach to enhance the feature selection process. The wrapper-based approach employs the K-nearest neighbors classifier using the Euclidean distance metric to identify the optimal solutions. The performance of the proposed binary algorithm is evaluated using four standard benchmark datasets obtained from the UCI repository. Classification accuracy and the number of selected features are used as performance indicators. Experimental results demonstrated that the hybrid model achieved mean accuracies of 95.23%, 97.61%, and 92.24% across various datasets, outperforming traditional PSO and HHO approaches. © 2013 IEEE.

关键词： Particle swarm optimization (PSO)

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Deformation of the Heisenberg–Weyl algebra and the Lie superalgebra : exact solution for the quantum harmonic oscillator with a position-dependent mass

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The European Physical Journal Plus 2025年第4期140卷 1-13页

作者： Jafarov, E. I. Nagiyev, S. M. Van der Jeugt, J. Institute of Physics Ministry of Science and Education Baku Azerbaijan Department of Applied Mathematics Computer Science and Statistics Ghent University Gent Belgium

We propose a new deformation of the quantum harmonic oscillator Heisenberg–Weyl algebra with a parameter $$a>-1$$ . This parameter is introduced through the replacement of the homogeneous mass $$m_0$$ in the definition of the momentum operator $$\hat{p}_x$$ as well as in the creation–annihilation operators $${\hat{a}}^\pm$$ with a mass varying with position x. The realization of such a deformation is shown through the exact solution of the corresponding Schrödinger equation for the non-relativistic quantum harmonic oscillator within the canonical approach. The obtained analytical expression of the energy spectrum consists of an infinite number of equidistant levels, whereas the wavefunctions of the stationary states of the problem under construction are expressed through the Hermite polynomials. Then, the Heisenberg–Weyl algebra deformation is generalized to the case of the Lie superalgebra $$\mathfrak {osp}\left( {1|2} \right)$$ . It is shown that the realization of such a generalized superalgebra can be performed for the parabose quantum harmonic oscillator problem, the mass of which possesses a behavior completely overlapping with the position-dependent mass of the canonically deformed harmonic oscillator problem. This problem is solved exactly for both even and odd stationary states. It is shown that the energy spectrum of the deformed parabose oscillator is still equidistant; however, both even- and odd-state wavefunctions are now expressed through the Laguerre polynomials. Some basic limit relations recovering the canonical harmonic oscillator with constant mass are also discussed briefly.

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L²-convergence of Yosida approximation for semi-linear backward stochastic differential equation with jumps in infinite dimension

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Arab Journal of Mathematical sciences 2025年第1期31卷 82-95页

作者： Abidi, Hani Amami, Rim Pettersson, Roger Trabelsi, Chiraz Department of Computer Science and Applied Mathematics Esprit School of Business Tunis Tunisia Department of Basic Sciences Deanship of Preparatory Year and Supporting Studies Imam Abdulrahman Bin Faisal University Dammam Saudi Arabia Department of Mathematics Linnaeus University Vaxjo Sweden Department of Sciences and Technologies Centre Universitaire de Mayotte Mayotte France IMAG Montpellier Montpellier France

Purpose: The main motivation of this paper is to present the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L²-convergence rate is established. Design/methodology/approach: The authors establish a result concerning the L²-convergence rate of the solution of backward stochastic differential equation with jumps with respect to the Yosida approximation. Findings: The authors carry out a convergence rate of Yosida approximation to the semi-linear backward stochastic differential equation in infinite dimension. Originality/value: In this paper, the authors present the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L²-convergence rate is established. © 2023, Hani Abidi, Rim Amami, Roger Pettersson and Chiraz Trabelsi.

关键词： Backward stochastic differential equation with jumps Gelfand triple Yosida approximation

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Inter-Stream Dependencies in Time-Sensitive Networking 28

Inter-Stream Dependencies in Time-Sensitive Networking

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28th Conference on Innovation in Clouds, Internet and Networks, ICIN 2025

作者： Chahed, Hamza Yarvis, Mark Frick, Florian Kassler, Andreas Intel Deutschland GmbH Germany Intel Corporation United States Department of Mathematics and Computer Science Karlstad University Karlstad Sweden Institute for Control Technology of Machine Tools and Manufacturing Equipment University of Stuttgart Germany Faculty of Applied Computer Science Deggendorf Institute of Technology Deggendorf Germany

ISBN: (纸本)9798331542399

Effective configuration of Time-Sensitive Networks is crucial for providing timeliness and reliability guarantees for real-time industrial applications, where many inter-dependent streams may co-exist. However, existing methods for specifying the characteristics of real-time streams to the Centralized Network Configuration element (CNC) do not allow the specification of stream dependencies. Consequently, the CNC may schedule the real-time streams in a sub-optimal way, leading to low number of real-time applications supported. To address this pressing issue, we present methods that allow to model and express such inter-stream dependencies and propose extensions to the user network interface (UNI) to convey these dependencies to the CNC, transforming it into an intent-based UNI. We define a novel metric to evaluate a specific network configuration regarding the latency budget available for scheduling the transmission of a stream. Using a set of numerical simulations, we show that when exploiting the knowledge of inter-stream dependencies, we can derive better network schedules, which results in significant increase in applications onboarding up to 2.2x and increased network utilization for real-time streams up to 3x. © 2025 IEEE.

关键词： Budget control

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On the Security Related Properties of Randomly Constructed Combinatorial Structures 8th

On the Security Related Properties of Randomly Constructed...

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8th International Symposium on Cyber Security, Cryptology, and Machine Learning, CSCML 2024

作者： Liagkou, V. Nastou, P.E. Spirakis, P. Stamatiou, Y.C. Computer Technology Institute and Press - "Diophantus" University of Patras Campus Patras26504 Greece Department of Computer Science University of Liverpool Liverpool United Kingdom Department of Business Administration University of Patras Patras26504 Greece Department of Informatics and Telecommunications University of Ioannina Koatakioi Arta47100 Greece Department of Mathematics Applied Mathematics and Mathematical Modeling Laboratory University of the Aegean Samos Greece

ISBN: (纸本)9783031769337

This paper explores the interplay between randomly generated structures, namely set families as well as second-order logic 0-1 laws, in security-related settings. The paper investigates how randomly generated structures can serve as powerful models for representing security properties of complex systems. By examining the 0-1 properties of these structures, conditions are stated which determine the presence or absence of specific security issues. The stated results provide a generic framework for studying insights into the probabilistic behavior of security attributes modeled by set families and mathematical logic with application potential in designing more robust systems. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

关键词： computer circuits

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