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Fundamentals of Neutrosophical Simulation for Generating Random Numbers Associated with Uniform Probability Distribution

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Neutrosophic Sets and Systems 2022年 49卷 92-102页

作者： Jdid, Maissam Alhabib, Rafif Salama, A.A. Faculty of Informatics Engineering Al-Sham Private University Damascus Syria Department of Mathematical Statistics Faculty of Science Albaath University Homs Syria Department of Mathematics and Computer Science Faculty of Science Port Said University Port Said Egypt

The simulation process depends on generating a series of random numbers subject to the uniform probability distribution in the interval [0, 1]. The generation of these numbers is starting from the cumulative distribution function of the uniform distribution. Through previous studies in classical logic, we found any random number R0, met with a cumulative distribution function value equal to R0, but these specific numbers may not have sufficient accuracy, which leads to obtaining results that are not sufficiently accurate when doing the simulation. To bypass this case, in this paper, we present a study that enables us to generate as accurate as possible random numbers, using neutrosophic logic ‘ this Logic given by American mathematician Florentin Smarandache in 1995‘. The first step in the study is, define the cumulative distribution function of the neutrosophic uniform distribution, depending on definition of the neutrosophic integral and definition of the neutrosophic uniform distribution. We used the new definition to generate random numbers subject to a neutrosophic uniform distribution on the interval [0, 1]. The result was that each random number R0 corresponds to a interval of the distribution function related to R0, So that it preserves enough precision for the random numbers, and thus we get a more accurate simulation of any system we want to simulate. © 2022. All Rights Reserved.

关键词： Distribution functions

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A mathematical framework for analyzing co-infection of COVID-19 with lung cancer

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Partial Differential Equations in Applied mathematics 2025年 14卷

作者： Hye, Md. Abdul Biswas, Md. Haider Ali Uddin, Mohammed Forhad Department of Mathematics and Statistics Bangladesh University of Business and Technology (BUBT) Dhaka Bangladesh Mathematics Discipline Khulna University Khulna Bangladesh Department of Mathematics Bangladesh University of Engineering and Technology (BUET) Dhaka Bangladesh

This study introduces a novel mathematical framework to explore the complex relationship between COVID-19 and lung cancer, addressing a critical gap in the existing literature. While various co-infection models have been discussed, no prior work has focused explicitly on the mathematical modeling of COVID-19 and lung cancer co-infection, positioning this research as pioneering. The dynamical model incorporates sub-models to analyze two distinct scenarios: one focusing exclusively on lung cancer and the other on COVID-19. The basic reproduction number determines stability conditions for the disease-free and endemic equilibriums. The model also integrates intervention strategies, including lung cancer preventive measures and COVID-19-specific treatments, to evaluate their impact on co-infection dynamics. Stability analysis and numerical simulations identify critical factors influencing the severity and progression of the co-infection, highlighting the substantial role of lung cancer prevention in reducing COVID-19 co-infections. The results underscore the importance of targeted interventions in managing co-infections effectively. This framework provides valuable insights for researchers and healthcare professionals as a comprehensive tool for understanding co-infection dynamics. By addressing the complexities of COVID-19 and lung cancer co-infection, this study goes beyond previous efforts, offering actionable strategies and advancing the understanding of this critical public health issue. © 2025 The Author(s)

关键词： Basic reproduction number Compartmental modeling Epidemiological analysis Numerical simulations Sensitivity analysis

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COMPARATIVE PERFORMANCE OF MACHINE LEARNING MODELS FOR TEMPERATURE PREDICTION IN VANADIUM REDOX FLOW BATTERIES

COMPARATIVE PERFORMANCE OF MACHINE LEARNING MODELS FOR TEMPE...

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International Conference on Green Energy, Computing and Intelligent Technology 2024, GEn-CITy 2024

作者： Zhang, Anxiu Juwono, Filbert H. Li, Hongfei Purwanto, Erick Wong, W.K. Liu, Linfeng Telecommunications Engineering Program Xi'an Jiaotong-Liverpool University Suzhou China Department of Electrical and Electronic Engineering Xi'an Jiaotong-Liverpool University Suzhou China Applied Mathematics Program Xi'an Jiaotong-Liverpool University Suzhou China Department of Computing Xi'an Jiaotong-Liverpool University Suzhou China Department of Electrical and Computer Engineering Curtin University Malaysia Miri Malaysia Sustainable Energy Technology Program Xi'an Jiaotong-Liverpool University Suzhou China

ISBN: (纸本)9781837242689

Vanadium Redox Flow Batteries (VRFB) are promising for large-scale energy storage due to their long life and environmental benefits. Accurate temperature prediction is key to optimizing VRFB performance and longevity. This study compares the performance of four machine learning models, i.e., 1D CNN, Particle Swarm Optimization - Support Vector Regressor (PSO-SVR), Decision Tree (DT), and K-Nearest Neighbors (KNN), using a publicly available dataset. Results show that KNN achieves the best results with test Root Mean Square Error (RMSE) of 0.0424 (average) and test R2 of 0.9746 (average), demonstrating strong predictive accuracy. 1D CNN, however, shows poor generalization. These findings suggest that non-parametric models like KNN and DT are highly effective for VRFB temperature prediction. © The Institution of engineering & Technology 2024.

关键词： machine learning prediction Vanadium redox flow battery

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Safe formation control of multiple unmanned aerial vehicles:control design and safety-stability analysis

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Control Theory and Technology 2024年第3期22卷 442-454页

作者： Haoqi Li Jiangping Hu Qingrui Zhou Bijoy K.Ghosh School of Automation Engineering University of Electronic Science and Technology of ChinaChengdu 611731SichuanChina Yangtze Delta Region Institute(Huzhou) University of Electronic Science and Technology of ChinaHuzhou 313000ZhejiangChina Qian Xuesen Laboratory of Space Technology China Academy of Space TechnologyBeijing 100094China Department of Mathematics and Statistics Texas Tech UniversityLubbockTX 79409-1042USA

Both safety and stability are primary performance criteria for multi-unmanned aerial vehicle(multi-UAV)systems in many coordination *** approaches often consider safety and stability *** is necessary and urgent to develop a safety-stability control strategy to merge these two performance *** this paper,a unified approach is developed to consider safety and stability for multi-UAV formation *** stability criterion is represented by a Lyapunov function and safety criterion is represented by a barrier function and then a relaxed converse control Lyapunov-barrier theorem is *** the help of a relaxed converse control Lyapunov-barrier function(RCCLBF),a distributed safety-stability formation control strategy is proposed for the multi-UAV *** transforming the solution of RCCLBF to a Lyapunovlike stabilization problem,we show that the proposed formation control strategy can drive the UAVs staying within a specified safe *** results are provided to validate the proposed safety-stability formation control strategy.

关键词： Multi-UAV system Formation control Lyapunov function Barrier function Stability with safety guarantee

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Analysis of water wave interaction with multiple submerged semi-circular porous structures

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Archive of Applied Mechanics 2023年第7期93卷 2693-2709页

作者： Tsai, Chia-Cheng Behera, Harekrushna Hsu, Tai-Wen Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung202301 Taiwan Department of Mathematics SRM Institute of Science and Technology Kattankulathur Tamil Nadu 603203 India Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung202301 Taiwan Department of Harbor and River Engineering National Taiwan Ocean University Keelung202301 Taiwan

The impact of an array of bottom-mounted semi-circular breakwaters on wave scattering and trapping is investigated. Under the assumption of linear water wave theory, a computational solution is developed using the methods of eigenfunction expansion and multi-domain boundary element. In order to understand how different structural and wave characteristics affect wave flow, the reflection, transmission and dissipation factors are evaluated and investigated. The study reveals that the Bragg reflection happens when a series of porous semi-circular breakwaters scatter waves. In addition, the presence of four structures causes nearly 80 % of the wave energy to dissipate. As the number of semi-circular breakwaters rises, the hydrodynamic forces acting on the impermeable sea wall greatly reduce. The study concludes that the number of structures, radius and porous-effect parameters of the structures plays a vital role in wave reflection, reducing the hydrodynamic load on the impenetrable sea wall. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

关键词： Boundary element method

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A structural equation modeling of customer attitudes towards residential solar initiatives in Jordan

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Social Sciences and Humanities Open 2024年 10卷

作者： Abuzaid, Haneen AbuMoeilak, Lama Alzaatreh, Ayman Department of Industrial Engineering American University of Sharjah Department of Mathematics and Statistics American University of Sharjah

Photovoltaic (PV) systems have gained global significance as a sustainable and renewable energy resource, playing a pivotal role in mitigating climate change and meeting growing energy demands. Like many other nations, Jordan recognizes the potential of PV systems and has been actively pursuing their adoption across various sectors, particularly in the residential sector. This paper aims to investigate the factors influencing residential customers' perceptions of PV systems and their intentions to adopt these systems in Jordan by identifying key determinants of perception and adoption and developing a comprehensive Structural Equation Model (SEM) to quantify the relationships between identified factors and their effect on the intention to adopt residential PV systems. A theoretical model was developed to achieve the study's objectives, employing confirmatory factor analysis and structural equation modeling. Data for this study was collected through a comprehensive survey targeting the residential segment. The findings indicate that social, technological, governmental, and financial factors positively and statistically significantly impact residential customers' perceptions of PV systems, fostering their intention to embrace this technology. Surprisingly, the environmental factor was deemed insignificant in influencing residential customers' decision-making processes. This research offers valuable insights to various stakeholders, including PV contractors, consultants, governmental entities, policy, and decision-makers. By understanding the key drivers and barriers shaping residential PV adoption, stakeholders can devise more effective strategies to promote sustainable energy practices, foster economic growth, and contribute to the global transition towards cleaner energy sources. © 2024 The Authors

关键词： Customers' perception Factor analysis Photovoltaic projects PV Structural equation modeling

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Numerical simulation of particle interception efficiency on different fiber shapes 21

Numerical simulation of particle interception efficiency on ...

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21st International Symposium on Distributed Computing and Applications for Business engineering and Science, DCABES 2022

作者： Lin, Xinyi Wang, Jingyue Wang, Meiqing Guo, Shumin Zheng, Gaofeng Lai, Choi-Hong College of Mathematics and Statistics Fuzhou University Fuzhou China School of Mathematical Science Xiamen University Xiamen China Xiamen University Department of Instrumental and Electrical Engineering Xiamen China University of Greenwich Department of Mathematics London United Kingdom

ISBN: (纸本)9781665454629

We use the Multiple-Relaxation-Time Lattice Boltzmann model to simulate the flow field and particle motion in a 2D porous media configured with various fiber cross-section shapes. Four sets of experiments are conducted to investigate the particle interception efficiency of four fiber structures with the same porosity. We find that: (1) with the same porosity, the filtration efficiency of hexagonal fibers is higher than that of fibers in other tested shapes;(2) sparse structures as shown in the ellipse and rectangular cases yield low filtration efficiencies even with a low porosity number. © 2022 IEEE.

关键词： Porosity

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Temperature Optimization for Bayesian Deep Learning

arXiv

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arXiv 2024年

作者： Ng, Kenyon van der Heide, Chris Hodgkinson, Liam Wei, Susan School of Mathematics and Statistics University of Melbourne Australia Department of Electrical and Electronic Engineering University of Melbourne Australia Department of Econometrics and Business Statistics Monash University Australia

The Cold Posterior Effect (CPE) is a phenomenon in Bayesian Deep Learning (BDL), where tempering the posterior to a cold temperature often improves the predictive performance of the posterior predictive distribution (PPD). Although the term ‘CPE’ suggests colder temperatures are inherently better, the BDL community increasingly recognizes that this is not always the case. Despite this, there remains no systematic method for finding the optimal temperature beyond grid search. In this work, we propose a data-driven approach to select the temperature that maximizes test log-predictive density, treating the temperature as a model parameter and estimating it directly from the data. We empirically demonstrate that our method performs comparably to grid search, at a fraction of the cost, across both regression and classification tasks. Finally, we highlight the differing perspectives on CPE between the BDL and Generalized Bayes communities: while the former primarily focuses on predictive performance of the PPD, the latter emphasizes calibrated uncertainty and robustness to model misspecification;these distinct objectives lead to different temperature preferences. Copyright © 2024, The Authors. All rights reserved.

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Stability and generalization of stochastic compositional gradient descent algorithms 24

Stability and generalization of stochastic compositional gra...

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Proceedings of the 41st International Conference on Machine Learning

作者： Ming Yang Xiyuan Wei Tianbao Yang Yiming Ying Department of Mathematics and Statistics State University of New York at Albany Albany NY Department of Computer Science and Engineering Texas A&M University College Station TX The University of Sydney School of Mathematics and Statistics Sydney NSW Australia

Many machine learning tasks can be formulated as a stochastic compositional optimization (SCO) problem such as reinforcement learning, AUC maximization and meta-learning, where the objective function involves a nested composition associated with an expectation. Although many studies have been devoted to studying the convergence behavior of SCO algorithms, there is little work on understanding their generalization, that is, how these learning algorithms built from training data would behave on future test examples. In this paper, we provide the stability and generalization analysis of stochastic compositional gradient descent algorithms in the framework of statistical learning theory. Firstly, we introduce a stability concept called compositional uniform stability and establish its quantitative relation with generalization for SCO problems. Then, we establish the compositional uniform stability results for two notable stochastic compositional gradient descent algorithms, namely SCGD and SCSC. Finally, we derive dimension-independent excess risk bounds for SCGD and SCSC by balancing stability results and optimization errors. To the best of our knowledge, these are the first-ever known results on stability and generalization analysis of stochastic compositional gradient descent algorithms.

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New insight into pyrrolic-N site effect towards the first NIR window absorption of pyrrolic-N-rich carbon dots

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Nano Research 2023年第4期16卷 6001-6009页

作者： Fitri Aulia Permatasari Reza Umami Citra Deliana Dewi Sundari Tirta Rona Mayangsari Atthar Luqman Ivansyah Fahdzi Muttaqien Takashi Ogi Ferry Iskandar Department of Physics Faculty Mathematics and Natural SciencesInstitut Teknologi BandungJalan Ganesha 10BandungWest Java 40132Indonesia Collaboration Research Center for Advanced Energy Materials National Research and Innovation Agency-Institut Teknologi BandungJalan Ganesha 10BandungWest Java 40132Indonesia Department of Chemistry Faculty of Mathematics and Natural SciencesInstitut Teknologi BandungJl.Ganesha 10BandungWest Java 40132Indonesia Department of Chemistry Education UIN Sunan Gunung Djati BandungJl.CimincrangBandungWest Java 40292Indonesia Department of Chemistry Universitas PertaminaJakarta 12220Indonesia Master Program in Computational Science Faculty of Mathematics and Natural SciencesInstitut Teknologi BandungJl.Ganesha 10BandungWest Java 40132Indonesia Instrumentation and Computational Physics Research Group Faculty of Mathematics and Natural SciencesInstitut Teknologi BandungJl.Ganesha 10Bandung 40132Indonesia Research Center for Nanoscience and Nanotechnology Institut Teknologi BandungJalan Ganesha 10BandungWest Java 40132Indonesia Chemical Engineering Program Department of Advanced Science and EngineeringGraduate School of Advanced Science and EngineeringHiroshima UniversityHigashi-Hiroshima 739-8527Japan

Controlled C-N configurations,i.e.,pyrrolic-N,pyridinic-N,and graphitic-N,are promising strategies to tailor the carbon dots’(CDs)optical properties into the first near infrared(NIR)window(650-900 nm),a responsive range for biomedical ***,a deep understanding of the role of the C-N configuration in the CDs’properties is still challenging and thoughtprovoking owing to their complex ***,an underlying pyrrolic-N concentration and position effect on the pyrrolic-N-rich CDs’absorption was comprehensively elucidated based on the integrated experimental and computational *** assynthesized pyrrolic-N-rich CDs exhibit a first NIR window absorption centered at 650 nm with high photothermal ***-N concentrations from 1.4%to 11.3%and positions(edge and mid-site)were systematically investigated.A mid-site pyrrolic-N was subsequently generated after the pyrrolic-N concentration more than 10%.Edge-site pyrrolic-N induces a frontier orbital hybridization,reducing bandgap energy,while mid-site pyrrolic-N plays a critical role in inducing a first NIR window absorption owing to their high charge ***,pyrrolic-N-rich CDs inherit a bowl-like topological feature,elevating the CDs’layer thickness as much as 0.71 *** study shed light on the design and optimization of pyrrolic-N on CDs for the first NIR window responsive materials in any biomedical application.

关键词： absorption carbon dots charge transfer first near infrared(NIR)window frontier orbital hybridization mid-site pyrrolic-N

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