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The variational multiscale element free Galerkin method for three-dimensional steady magnetohydrodynamics duct flows 三维稳定磁流体管道流动的变分多尺度无单元伽辽金方法
IF 3.1 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-28 DOI: 10.1016/j.jocs.2025.102683
Xiaohua Zhang , Yujie Fan
Magnetohydrodynamics (MHD) has extensive applications in diverse fields, making the study of three-dimensional (3D) MHD problems crucial. For MHD flows, when the Hartmann (Ha) number is large, leading to a convection-dominated regime where convection terms overcome diffusion. In such scenarios, standard Galerkin methods fail to suppress non-physical oscillations in solutions, as they lack inherent stabilization mechanisms for strong convection. This paper introduces the variational multiscale element free Galerkin (VMEFG) method to solve 3D steady MHD equations. The VMEFG method inherits the advantage of the element free Galerkin (EFG) method in avoiding the complex meshing process, which is particularly challenging for complex 3D problems. Moreover, compared with the EFG method, it shows enhanced stability in dealing with convection-dominant problems and can automatically generate stabilized parameters, outperforming other stabilization techniques. To verify the numerical stability and accuracy of the VMEFG method, several numerical experiments on various domains including cubic, annular cubic, spherical, and annular spherical domains were conducted and compared with EFG solutions and existing literature results. The results indicate that the VMEFG method can effectively avoid numerical oscillations and maintain stability for 3D MHD problems at high Ha number, providing a reliable and efficient solution for such problems.
磁流体动力学(MHD)在各个领域都有广泛的应用,因此研究三维(3D)磁流体动力学问题至关重要。对于MHD流动,当哈特曼(Ha)数较大时,会导致对流占主导地位,对流项克服扩散。在这种情况下,标准伽辽金方法无法抑制溶液中的非物理振荡,因为它们缺乏强对流的固有稳定机制。介绍了求解三维稳态MHD方程的变分多尺度无单元伽辽金法(VMEFG)。VMEFG方法继承了无单元伽辽金(EFG)方法的优点,避免了复杂的网格划分过程,这对复杂的三维问题尤其具有挑战性。此外,与EFG方法相比,该方法在处理对流占优问题时表现出更强的稳定性,并能自动生成稳定参数,优于其他稳定技术。为了验证VMEFG方法的数值稳定性和准确性,在立方、环立方、球面和环球形等不同区域进行了数值实验,并与EFG解和已有文献结果进行了比较。结果表明,VMEFG方法可以有效地避免数值振荡并保持高Ha数下三维MHD问题的稳定性,为这类问题提供了可靠、高效的解决方案。
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引用次数: 0
A demonstration on the construction of modular neural network using elevator system that operates based on reinforcement learning 基于强化学习的电梯系统模块化神经网络的构建演示
IF 3.7 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-26 DOI: 10.1016/j.jocs.2025.102678
Ning Ning Chung , Hamed Taghavian , Mikael Johansson , Lock Yue Chew
We study how neural networks can perform the task of elevator dispatching of commuters from their origins to their destinations. Instead of applying a neural network in the conventional way, we construct a specific neural network architecture that optimizes the commuters’ traveling time after taking into account the domain knowledge and the efficacy of potential future actions. The constructed architecture is modular with building blocks of neuronal structure that serve specified functional roles. By relaxing the weights and then training this network via reinforcement learning, we show that it outperforms an agent that implements the standard elevator algorithm. More remarkably, we observe the spontaneous emergence of functional modules within the structure of the network in consequence of the action sequences experienced during training. This behavioral feature of the neural network makes it less of a black box, with specific aspects of its functions being explicitly discernible from its network connections.
我们研究了神经网络如何完成通勤者从起点到目的地的电梯调度任务。与传统的神经网络应用方式不同,我们构建了一种特殊的神经网络架构,在考虑了领域知识和潜在未来行为的有效性后,优化了通勤者的出行时间。构建的体系结构是模块化的,具有神经元结构的构建块,服务于特定的功能角色。通过放松权重,然后通过强化学习训练该网络,我们证明它优于实现标准电梯算法的智能体。更值得注意的是,我们观察到在训练过程中经历的动作序列导致网络结构内功能模块的自发出现。神经网络的这种行为特征使其不像一个黑盒子,其功能的特定方面可以从其网络连接中明确地识别出来。
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引用次数: 0
Data-driven enhancement of the Hastings–Powell model using sparse identification algorithm 使用稀疏识别算法的Hastings-Powell模型的数据驱动增强
IF 3.7 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-26 DOI: 10.1016/j.jocs.2025.102682
Nitu Kumari, Anurag Singh
A significant challenge in various fields of science and engineering is extracting governing equations from data. Prey-predator models are particularly complex due to their nonlinear behavior, making traditional analytical methods insufficient for accurately capturing their dynamics. In this study, we introduce a data-driven approach to model the intricate dynamics of Hastings–Powell model solely from time series data. This article explores the application of the sparse identification of nonlinear dynamics (SINDy) and its extension, the SINDy-PI (parallel, implicit) method, in a model representing a chaotic food chain. The main goal is to determine the governing equations that describe the chaotic dynamics of the prey-predator populations. Hence, this study uses the parameters wherein the dynamics exhibit chaotic behavior. The method of SINDy was developed with the aim of identifying governing equations of nonlinear dynamical systems. In both methods, a library of potential terms are created and then a regression problem is solved. We have employed both methods as our model incorporates not only nonlinear terms but also rational terms. Our results shows that SINDy method is unable to find the exact form of governing equations but SINDy-PI method has the capability to accurately capture the authentic structure of the governing equations. In addition, we applied model selection techniques to identify the most parsimonious model possible. Through the application of SINDy and SINDy-PI, this research contributes to the advancement of data-centric approaches in ecological modeling, offering insights into the intricate dynamics of multi-species interactions within ecosystems. Further, for this study to be more realistic, utilizing real-world data from three-species would have been ideal. However, due to non-availability of three species real data, simulated data set has been used for validation purpose.
从数据中提取控制方程是科学和工程各个领域面临的一个重大挑战。由于捕食者-猎物模型的非线性行为,使得传统的分析方法不足以准确捕捉其动态。在本研究中,我们引入了一种数据驱动的方法,仅从时间序列数据来建模Hastings-Powell模型的复杂动态。本文探讨了非线性动力学稀疏辨识(SINDy)及其扩展SINDy- pi(并行,隐式)方法在混沌食物链模型中的应用。主要目标是确定描述猎物-捕食者种群混沌动力学的控制方程。因此,本研究使用了动力学表现出混沌行为的参数。为了辨识非线性动力系统的控制方程,提出了SINDy方法。在这两种方法中,都创建了一个潜在项库,然后解决了回归问题。我们采用了这两种方法,因为我们的模型不仅包含非线性项,而且包含有理项。结果表明,SINDy方法无法找到控制方程的精确形式,而SINDy- pi方法能够准确捕捉控制方程的真实结构。此外,我们应用模型选择技术来识别最简约的模型。通过SINDy和SINDy- pi的应用,本研究促进了以数据为中心的生态建模方法的发展,为生态系统中多物种相互作用的复杂动态提供了见解。此外,为了使这项研究更加现实,利用来自三个物种的真实数据将是理想的。然而,由于无法获得三种真实数据,因此采用模拟数据集进行验证。
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引用次数: 0
An h-adaptive collocation method for Physics-Informed Neural Networks 物理信息神经网络的h-自适应配置方法
IF 3.7 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-25 DOI: 10.1016/j.jocs.2025.102684
Jan Trynda , Paweł Maczuga , Albert Oliver-Serra , Luis Emilio García-Castillo , Robert Schaefer , Maciej Woźniak
Despite their flexibility and success in solving partial differential equations, Physics-Informed Neural Networks (PINNs) often suffer from convergence issues, even failing to converge, particularly in problems with steep gradients or localized features. Several remedies have been suggested to solve this problem, but one of the most promising is the dynamical adaptation of the collocation points. This paper explores a novel adaptive sampling method, of a stochastic nature, based on the Adaptive Mesh Refinement used in the Finite Element Method. The error estimates in our refinement algorithm are based on the value of the residual loss function. We tested our method against a variety of 1D and 2D benchmark problems that exhibit steep gradients near certain boundaries, with promising results.
尽管物理信息神经网络(pinn)在解决偏微分方程方面具有灵活性和成功性,但它经常受到收敛问题的困扰,甚至无法收敛,特别是在具有陡峭梯度或局部特征的问题中。已经提出了几种补救措施来解决这个问题,但最有希望的一种是搭配点的动态适应。本文在有限元法自适应网格细化的基础上,提出了一种新的随机自适应采样方法。我们的改进算法中的误差估计是基于残差损失函数的值。我们针对各种1D和2D基准问题测试了我们的方法,这些问题在某些边界附近表现出陡峭的梯度,结果很有希望。
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引用次数: 0
Sensitivity analysis of high-dimensional models with correlated inputs 具有相关输入的高维模型敏感性分析
IF 3.7 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-25 DOI: 10.1016/j.jocs.2025.102681
Juraj Kardoš , Wouter Edeling , Diana Suleimenova , Derek Groen , Olaf Schenk
Sensitivity analysis is an important tool used in many domains of computational science to either gain insight into the mathematical model and interaction of its parameters or study the uncertainty propagation through the input–output interactions. In many applications, the inputs are stochastically dependent, which violates one of the essential assumptions in the state-of-the-art sensitivity analysis methods. Consequently, the results obtained ignoring the correlations provide values which do not reflect the true contributions of the input parameters. This study proposes an approach to address the parameter correlations using a polynomial chaos expansion method and Rosenblatt and Cholesky transformations to reflect the parameter dependencies. Treatment of the correlated variables is discussed in context of variance and derivative-based sensitivity analysis. We demonstrate that the sensitivity of the correlated parameters can not only differ in magnitude, but even the sign of the derivative-based index can be inverted, thus significantly altering the model behavior compared to the prediction of the analysis disregarding the correlations. Numerous experiments are conducted using workflow automation tools within the VECMA toolkit.
灵敏度分析在计算科学的许多领域中是一种重要的工具,用于深入了解数学模型及其参数的相互作用,或研究通过输入-输出相互作用的不确定性传播。在许多应用中,输入是随机依赖的,这违反了最先进的灵敏度分析方法中的一个基本假设。因此,忽略相关性获得的结果提供的值不能反映输入参数的真实贡献。本文提出了一种利用多项式混沌展开方法和Rosenblatt和Cholesky变换来反映参数依赖性的方法来处理参数相关性。在方差和基于导数的敏感性分析的背景下讨论了相关变量的处理。我们证明了相关参数的敏感性不仅可以在量级上不同,甚至基于导数的指数的符号也可以反转,从而与忽略相关性的分析预测相比,显著改变了模型行为。使用VECMA工具包中的工作流自动化工具进行了大量实验。
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引用次数: 0
A computational analysis of traffic cluster dynamics using a percolation-based approach in urban road networks 城市道路网络中基于渗流的交通集群动态计算分析
IF 3.1 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-24 DOI: 10.1016/j.jocs.2025.102675
Yongsung Kwon , Minjin Lee , Mi Jin Lee , Seung-Woo Son
Understanding the dynamics of traffic clusters is crucial for enhancing urban transportation systems, particularly in managing congestion and free-flow states. This study applies computational percolation theory to analyze the formation and growth of traffic clusters within urban road networks, using high-resolution taxi data from Chengdu, China. Presenting the road network as a time-dependent, weighted, directed graph, we identify distinct behaviors in traffic jam and free-flow clusters through the growth patterns of giant connected components (GCCs). A persistent gap between GCC size curves, especially during rush hours, highlights disparities driven by spatial traffic correlations. These are quantified through long-range weight-weight correlations, offering a novel computational metric for traffic dynamics. Our approach demonstrates the influence of network topology and temporal variations on cluster formation, providing a robust framework for modeling complex traffic systems. The findings have practical implications for traffic management, including dynamic signal optimization, infrastructure prioritization, and strategies to mitigate congestion. By integrating graph theory, percolation analysis, and traffic modeling, this study advances computational methods in urban traffic analysis and offers a foundation for optimizing large-scale transportation systems.
了解交通集群的动态对加强城市交通系统至关重要,特别是在管理拥堵和自由流动状态方面。本研究运用计算渗透理论分析城市道路网络中交通集群的形成和增长,使用来自中国成都的高分辨率出租车数据。将道路网络呈现为一个时间依赖的、加权的、有向图,我们通过巨型连接组件(gcc)的增长模式识别交通拥堵和自由流集群中的不同行为。海湾合作委员会规模曲线之间的持续差距,特别是在高峰时段,突出了空间交通相关性驱动的差异。这些都是通过长期的权重相关性量化的,为交通动态提供了一种新的计算度量。我们的方法展示了网络拓扑和时间变化对集群形成的影响,为复杂交通系统的建模提供了一个强大的框架。研究结果对交通管理具有实际意义,包括动态信号优化、基础设施优先级和缓解拥堵的策略。本研究将图论、渗流分析和交通建模相结合,推进了城市交通分析的计算方法,为大规模交通系统的优化提供了基础。
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引用次数: 0
A structural feature-based approach for comprehensive graph classification 基于结构特征的综合图分类方法
IF 3.7 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-24 DOI: 10.1016/j.jocs.2025.102679
Saiful Islam , Md. Nahid Hasan , Pitambar Khanra
The increasing prevalence of graph-structured data across various domains has intensified greater interest in graph classification tasks. While numerous sophisticated graph learning methods have emerged, their complexity often hinders practical implementation. In this article, we address this challenge by proposing a method that constructs feature vectors based on fundamental graph structural properties. We demonstrate that these features, despite their simplicity, are powerful enough to capture the intrinsic characteristics of graphs within the same class. We explore the efficacy of our approach using three distinct machine learning methods, highlighting how our feature-based classification leverages the inherent structural similarities of graphs within the same class to achieve accurate classification. A key advantage of our approach is its simplicity, which makes it accessible and adaptable to a broad range of applications, including social network analysis, bioinformatics, and cybersecurity. Furthermore, we conduct extensive experiments to validate the performance of our method, showing that it not only reveals a competitive performance but in some cases surpasses the accuracy of more complex, state-of-the-art techniques. Our findings suggest that a focus on fundamental graph features can provide a robust and efficient alternative for graph classification, offering significant potential for both research and practical applications.
图结构数据在各个领域的日益流行增强了人们对图分类任务的兴趣。虽然出现了许多复杂的图学习方法,但它们的复杂性往往阻碍了实际实施。在本文中,我们通过提出一种基于基本图结构属性构建特征向量的方法来解决这一挑战。我们证明,尽管这些特性很简单,但它们足够强大,可以捕获同一类中的图的内在特征。我们使用三种不同的机器学习方法来探索我们方法的有效性,强调我们基于特征的分类如何利用同一类中图的固有结构相似性来实现准确的分类。我们的方法的一个关键优势是它的简单性,这使得它易于访问和适应广泛的应用,包括社会网络分析,生物信息学和网络安全。此外,我们进行了大量的实验来验证我们的方法的性能,表明它不仅显示了具有竞争力的性能,而且在某些情况下超过了更复杂的最先进技术的准确性。我们的研究结果表明,关注图的基本特征可以为图分类提供一个强大而有效的替代方案,为研究和实际应用提供了巨大的潜力。
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引用次数: 0
Mathematical modeling of smoking addiction control: Impact of treatment, news, and media campaigns 吸烟成瘾控制的数学模型:治疗、新闻和媒体活动的影响
IF 3.7 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-23 DOI: 10.1016/j.jocs.2025.102677
Abu Safyan Ali , Muhammad Awais , Shumaila Javeed
Smoking dynamics created a global health crisis with major socioeconomic repercussions. It presents one of the most pressing issues the world has encountered for decades, affecting the social fabric, economy, and health globally. Sufficient treatment plans paired with significant coverage on radio, in print media, and social media as information sources may cause people to become more aware of the risks caused by smoking due to which individuals change their behavior and attitude toward smoking dynamics. In this study, we propose novel deterministic models for analyzing and controlling smoking dynamics. The model classifies the total population into five distinct sub-populations. Initially, we implement treatment for smokers, then the impact of media coverage of smokers on a daily basis along with proper treatment of smokers applies, and last one is about the combined effectiveness of TV, Radio, and all social media platforms (SMP) advertisement and treatment to addicted smokers. The disease-free equilibrium (DFE) and endemic equilibrium (EEP) states of proposed model one are qualitatively formulated, with stability analyses indicating local stability of DFE when R 0 <1 and of EEP when R 0 >1. Global stability of the steady states is further examined using the Lyapunov function and Castillo-Chavez theorems. Sensitivity analysis of models is evaluated through the Normalized Sensitivity Index and Partial Rank Correlation Coefficient (PRCC) techniques. Furthermore, numerical simulations are used to verify the theoretical predictions of the proposed deterministic models. The simulation results suggest that targeted media coverage across different sources, including conventional and social media, together with competent medical care by treatment, may successfully lower the incidence of smoking. Through the use of awareness campaigns and advertising slogans, we can greatly increase public knowledge and eventually encourage quitting smoking.
吸烟动态造成了一场具有重大社会经济影响的全球健康危机。它是世界几十年来遇到的最紧迫的问题之一,影响着全球的社会结构、经济和健康。充分的治疗方案,加上广播、印刷媒体和社交媒体作为信息来源的大量报道,可能会使人们更加意识到吸烟带来的风险,从而改变个人对吸烟动态的行为和态度。在这项研究中,我们提出了新的确定性模型来分析和控制吸烟动力学。该模型将总人口分为五个不同的亚种群。首先,我们对吸烟者进行治疗,然后是媒体对吸烟者的日常报道以及对吸烟者的适当治疗的影响,最后是电视,广播和所有社交媒体平台(SMP)广告和治疗对成瘾吸烟者的综合效果。对模型1的无病平衡(DFE)和地方性平衡(EEP)状态进行了定性表述,稳定性分析表明,当R 0 >;1时,无病平衡(DFE)和地方性平衡(EEP)的局部稳定性为0 >;1。利用Lyapunov函数和Castillo-Chavez定理进一步检验了稳态的全局稳定性。通过归一化敏感性指数和偏秩相关系数(PRCC)技术对模型进行敏感性分析。此外,数值模拟验证了确定性模型的理论预测。模拟结果表明,包括传统媒体和社交媒体在内的不同来源的有针对性的媒体报道,加上通过治疗提供的合格医疗保健,可能成功地降低吸烟发生率。通过宣传活动和广告口号,我们可以大大提高公众的认识,并最终鼓励戒烟。
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引用次数: 0
Artificial neural network discrete-time biomass controller for a continuous stirred tank reactor 连续搅拌槽式反应器的人工神经网络离散时间生物质控制器
IF 3.1 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-23 DOI: 10.1016/j.jocs.2025.102688
Hale Hapoglu , Egemen Ander Balas , Semin Altuntaş
The employment of stirred tank reactors in the field of treatment technology is well-established. In this regard, a bioreactor model is commonly utilized for conducting simulations, identifying parameters, and developing control applications. Control of biomass concentration is independent of scale through manipulation of the dilution rate. To enable discrete-time control, an equivalent model incorporating a zero-order hold element and a 0.1-h sampling time has been formulated for controlling biomass concentration. In this study, the various well-known controllers performed effectively to track set points. Further, to mitigate the effects of load disturbances, the generalized predictive controller, the proportional integral derivative controller, and the controllers designed based on pole placement have been employed to obtain process control responses. The performance of these controllers has been evaluated through a weighted aggregate sum product assessment technique that employs an analytical hierarchy process. Due to the significant nonlinearity present in the closed loop bioprocess with substrate inhibition, the feedforward artificial neural network controller is trained using a closed-loop dataset, and its performances are compared with the conventional controllers. The controller has demonstrated its ability to manage realistic feed fluctuations without risking upset to the culture. The biomass concentration showed only minor deviations, settling swiftly back to the desired value by smoothly adjusting the dilution rate. This controller with tansig and purelin functions overcomes nonlinearities and time delays better than conventional controllers. The results suggest that the artificial neural network controller offers the desired simplicity and effectiveness for industrial applications.
搅拌槽式反应器在处理技术领域的应用是成熟的。在这方面,生物反应器模型通常用于进行模拟,识别参数和开发控制应用。通过操纵稀释率,生物量浓度的控制与尺度无关。为了实现离散时间控制,我们制定了一个等效模型,该模型包含一个零阶保持单元和0.1 h的采样时间,用于控制生物质浓度。在本研究中,各种知名控制器都能有效地跟踪设定点。此外,为了减轻负载扰动的影响,采用广义预测控制器、比例积分导数控制器和基于极点布置设计的控制器来获得过程控制响应。通过采用层次分析法的加权总和积评估技术对这些控制器的性能进行了评估。由于具有底物抑制的闭环生物过程存在显著的非线性,采用闭环数据集训练前馈人工神经网络控制器,并将其性能与传统控制器进行比较。该控制器已经证明了其管理实际饲料波动的能力,而不会有破坏培养物的风险。生物量浓度只显示出很小的偏差,通过平滑地调整稀释率,迅速恢复到所需值。该控制器具有tansig和purelin函数,比传统控制器更好地克服了非线性和时滞。结果表明,人工神经网络控制器为工业应用提供了所需的简单性和有效性。
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引用次数: 0
Integrating fuzzy rough set-based entropies for identifying drug-resistant miRNAs in cancer 基于模糊粗糙集熵的肿瘤耐药mirna识别集成
IF 3.7 3区 计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2025-07-21 DOI: 10.1016/j.jocs.2025.102673
Joginder Singh , Shubhra Sankar Ray
MicroRNAs (miRNAs) are key biomarkers in cancer diagnosis and treatment. Identification of drug-resistant miRNAs may help in effective treatment of cancer. Two new z score based fuzzy rough relevance and redundancy entropies are developed and then a weighted framework is introduced to integrate the entropies for ranking and selecting miRNAs in classifying control and drug resistant patients. Here, two key components of soft computing, fuzzy set and rough set are utilized. The methodology is called a weighted framework for integrating fuzzy rough set-based relevance and redundancy entropies (WFIFRRRE). The z score is used to compute the fuzzy membership of expression values required for both entropies. Fuzziness deals with the overlapping nature of miRNA expression profiles and rough set helps in determining the exact class size. The weights in WFIFRRRE, assigned to relevance and redundancy entropies, are determined in a supervised manner to maximize the F score used for validating the classification performance in discriminating the control and drug-resistant patients. The weights are varied from 0 to 1 in steps of 0.01 which enables an integration between relevance and redundancy entropies. A subset of miRNAs is selected from the ranked list and the performance is evaluated using three benchmark classifiers on eight drug-resistant cancer datasets. Experimental results show that WFIFRRRE provides better prediction accuracy than the popular methods used for comparison. The classification accuracy in terms of F score, achieved by WFIFRRRE, ranges from 0.74 to 1.0, 0.75 to 1.0, and 0.73 to 1.0 using random forest, Naive Bayes, and linear SVM classifiers, respectively. The resultant set of miRNAs obtained using WFIFRRRE is also verified with the help of existing biological studies. The source code of WFIFRRRE is available at https://www.isical.ac.in/ shubhra/WFIFRRRE.html.
MicroRNAs (miRNAs)是癌症诊断和治疗的关键生物标志物。鉴定耐药mirna可能有助于有效治疗癌症。提出了两种新的基于z分数的模糊粗糙关联熵和冗余熵,并引入加权熵整合框架,对对照和耐药患者进行排序和选择。在这里,使用了软计算的两个关键组成部分:模糊集和粗糙集。该方法被称为基于模糊粗糙集的关联冗余熵加权积分框架(wfifrre)。z分数用于计算两个熵所需的表达式值的模糊隶属度。模糊性处理了miRNA表达谱的重叠性质,粗糙集有助于确定确切的类大小。WFIFRRRE中的权重,分配给相关熵和冗余熵,以监督的方式确定,以最大化F分,用于验证区分对照和耐药患者的分类性能。权重以0.01的步长从0到1变化,从而实现相关性和冗余熵之间的集成。从排名列表中选择一个mirna子集,并在八个耐药癌症数据集上使用三个基准分类器评估其性能。实验结果表明,WFIFRRRE比常用的比较方法具有更好的预测精度。WFIFRRRE在随机森林、朴素贝叶斯和线性支持向量机分类器上的分类精度F值分别为0.74 ~ 1.0、0.75 ~ 1.0和0.73 ~ 1.0。利用WFIFRRRE获得的mirna集合也在现有生物学研究的帮助下得到了验证。WFIFRRRE的源代码可从https://www.isical.ac.in/ shubhra/WFIFRRRE.html获得。
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