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On the accuracy of interpolation based on single-layer artificial neural networks with a focus on defeating the Runge phenomenon 基于单层人工神经网络的插值精度,重点是克服伦格现象
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-29 DOI: 10.1007/s00500-024-09918-2
Ferdinando Auricchio, Maria Roberta Belardo, Francesco Calabrò, Gianluca Fabiani, Ariel F. Pascaner

Artificial Neural Networks (ANNs) are a tool in approximation theory widely used to solve interpolation problems. In fact, ANNs can be assimilated to functions since they take an input and return an output. The structure of the specifically adopted network determines the underlying approximation space, while the form of the function is selected by fixing the parameters of the network. In the present paper, we consider one-hidden layer ANNs with a feedforward architecture, also referred to as shallow or two-layer networks, so that the structure is determined by the number and types of neurons. The determination of the parameters that define the function, called training, is done via the resolution of the approximation problem, so by imposing the interpolation through a set of specific nodes. We present the case where the parameters are trained using a procedure that is referred to as Extreme Learning Machine (ELM) that leads to a linear interpolation problem. In such hypotheses, the existence of an ANN interpolating function is guaranteed. Given that the ANN is interpolating, the error incurred occurs outside the sampling interpolation nodes provided by the user. In this study, various choices of nodes are analyzed: equispaced, Chebychev, and randomly selected ones. Then, the focus is on regular target functions, for which it is known that interpolation can lead to spurious oscillations, a phenomenon that in the ANN literature is referred to as overfitting. We obtain good accuracy of the ANN interpolating function in all tested cases using these different types of interpolating nodes and different types of neurons. The following study is conducted starting from the well-known bell-shaped Runge example, which makes it clear that the construction of a global interpolating polynomial is accurate only if trained on suitably chosen nodes, ad example the Chebychev ones. In order to evaluate the behavior when the number of interpolation nodes increases, we increase the number of neurons in our network and compare it with the interpolating polynomial. We test using Runge’s function and other well-known examples with different regularities. As expected, the accuracy of the approximation with a global polynomial increases only if the Chebychev nodes are considered. Instead, the error for the ANN interpolating function always decays, and in most cases we observe that the convergence follows what is observed in the polynomial case on Chebychev nodes, despite the set of nodes used for training. Then we can conclude that the use of such an ANN defeats the Runge phenomenon. Our results show the power of ANNs to achieve excellent approximations when interpolating regular functions also starting from uniform and random nodes, particularly for Runge’s function.

人工神经网络(ANN)是近似理论中的一种工具,广泛用于解决插值问题。事实上,人工神经网络可以与函数等价,因为它们接受输入并返回输出。具体采用的网络结构决定了基本的近似空间,而函数的形式则通过固定网络参数来选择。在本文中,我们考虑的是具有前馈结构的单隐层 ANN,也称为浅层或双层网络,因此其结构由神经元的数量和类型决定。定义函数的参数的确定(称为训练)是通过近似问题的解决来完成的,即通过一组特定节点进行插值。我们介绍的情况是,使用一种被称为极限学习机(ELM)的程序来训练参数,从而解决线性插值问题。在这种假设中,ANN 插值函数的存在是有保证的。鉴于 ANN 正在进行插值,所产生的误差发生在用户提供的采样插值节点之外。本研究分析了各种节点选择:等距节点、切比切夫节点和随机选择的节点。然后,重点放在规则目标函数上,众所周知,插值会导致虚假振荡,这种现象在 ANN 文献中被称为过拟合。我们使用这些不同类型的插值节点和不同类型的神经元,在所有测试案例中都获得了良好的 ANN 插值函数精度。下面的研究将从著名的钟形 Runge 例子开始,该例子清楚地表明,只有在适当选择节点(例如切比切夫节点)的情况下,全局内插多项式的构建才会准确。为了评估插值节点数量增加时的行为,我们增加了网络中神经元的数量,并与插值多项式进行比较。我们使用 Runge 函数和其他具有不同规则性的著名例子进行了测试。不出所料,只有在考虑到切比切夫节点的情况下,全局多项式的近似精度才会提高。相反,ANN 插值函数的误差总是在减小,而且在大多数情况下,尽管使用了一组节点进行训练,但我们观察到其收敛性与在切比切夫节点上的多项式情况下观察到的收敛性相同。因此,我们可以得出这样的结论:使用这种 ANN 可以消除 Runge 现象。我们的研究结果表明,在对规则函数进行插值时,ANN 也能从均匀节点和随机节点出发,实现出色的近似,尤其是对 Runge 函数。
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引用次数: 0
A higher-order job crafting mediation model with PLS-SEM: relationship between organizational identification and communication satisfaction 利用 PLS-SEM 建立的高阶工作制作中介模型:组织认同与沟通满意度之间的关系
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-29 DOI: 10.1007/s00500-024-09667-2
Enrico Ciavolino, Mario Angelelli, Giovanna Alessia Sternativo, Elisa De carlo, Alessia Anna Catalano, Emanuela Ingusci

In recent years, global events have redefined working life, stimulating new organizational models. This work focuses on job crafting, which is considered the way to improve the relationship between some organizational variables and other individual variables such as organizational identification and satisfaction with communication, both of which are crucial to achieving sustainable levels of well-being. The study examines the role of latent constructs that can promote adaptive responses as well as their relations. In particular, we focus on organizational identification in promoting adaptive responses, including the increase in structural resources, the increase in challenging demands, and the increase in social resources as adaptive strategies to improve satisfaction with communication. The analysis is carried out using robust statistical techniques that are suited to the study of causal relations between abstract constructs. Specifically, after Confirmatory Composite Analysis (CCA-PLS) to evaluate the quality of the data collected, a higher order mediation model, based on partial least squares structural equation modeling (PLS-SEM), was performed to test the mediation role of the job crafting. In addition, we prioritize such latent constructs using importance–performance map analysis (IPMA) to evaluate the relevance and performance of each construct of this model. The results show a relationship between organizational identification, corresponding to a high sense of belonging, and communication satisfaction at all levels through the mediation of job crafting.

近年来,全球事件重新定义了工作生活,激发了新的组织模式。这项工作的重点是工作精心设计,它被认为是改善某些组织变量与其他个人变量(如组织认同和沟通满意度)之间关系的途径,而这两个变量对于实现可持续的幸福水平至关重要。本研究探讨了能够促进适应性反应的潜在构造的作用及其关系。我们尤其关注组织认同在促进适应性反应方面的作用,包括增加结构性资源、增加挑战性要求和增加社会资源,以此作为提高沟通满意度的适应性策略。分析采用了适合研究抽象建构之间因果关系的稳健统计技术。具体来说,在对所收集数据的质量进行确认性综合分析(CCA-PLS)评估后,我们基于偏最小二乘法结构方程模型(PLS-SEM)建立了一个高阶中介模型,以检验工作工艺的中介作用。此外,我们还利用重要性-绩效图分析法(IPMA)对这些潜在构念进行了优先排序,以评估该模型中每个构念的相关性和绩效。结果表明,通过工作设计的中介作用,与高归属感相对应的组织认同与各层次的沟通满意度之间存在关系。
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引用次数: 0
A topology based on nuclei and upsets in residuated lattices 基于残差网格中的核与颠倒的拓扑学
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-29 DOI: 10.1007/s00500-024-09927-1
Supeng Wu, Hui Liu, Jiang Yang

Firstly, a topology is constructed by nuclei and upsets in residuated lattices and it is shown that a residuated lattice endowed with this topology becomes a topological space. Furthermore, some properties of the topological space are investigated such as compactness and connectedness. Moreover, we study continuities of all the operations with respect to the topology in a residuated lattice. Finally, the relationships are revealed between the two topologies on quotient residuated lattices.

首先,通过残差网格中的核和颠倒构建了一种拓扑结构,并证明了具有这种拓扑结构的残差网格成为一个拓扑空间。此外,我们还研究了拓扑空间的一些性质,如紧凑性和连通性。此外,我们还研究了残差网格中与拓扑相关的所有运算的连续性。最后,我们揭示了商残差网格上两种拓扑之间的关系。
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引用次数: 0
Skin lesion classification using transfer learning 利用迁移学习进行皮肤病变分类
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-29 DOI: 10.1007/s00500-024-09949-9
G. Nivedhitha, P. Kalpana, A. Sheik Sidthik, V. Anusha Rani, Ajith B. Singh, R. Rajagopal

This work presents an essential module for the Transfer Learning approach's classification of melanoma skin lesions. Melanoma, a highly lethal form of skin cancer, poses a significant health threat globally. Image analysis plays a crucial role in enhancing the accuracy of malignant skin lesion classification. Although neural networks trained on extensive datasets have emerged as the latest solution, their scalability remains a challenge. This study proposes an efficient method for classifying skin lesions utilizing labelled data from open sources, leveraging EfficientNet as the foundational model to robustly capture discriminative features from diverse visual perspectives. Validation of the proposed algorithms relies on the classifier's capacity to distinguish between classes is measured by the Area Under the Receiver Operating Characteristic (AUC-ROC) curve. AUC-ROC score greater than zero denotes better classification performance. Our proposed model achieves an impressive score of 98.65%. In contrast to existing approaches, our method demonstrates swift and accurate identification and segmentation of melanoma skin lesions, showcasing its efficacy in advancing the field of skin lesion classification.

这项工作为转移学习方法的黑色素瘤皮肤病变分类提供了一个重要模块。黑色素瘤是一种高度致命的皮肤癌,对全球健康构成严重威胁。图像分析在提高恶性皮肤病变分类的准确性方面起着至关重要的作用。尽管在大量数据集上训练的神经网络已成为最新的解决方案,但其可扩展性仍是一个挑战。本研究提出了一种有效的方法,利用来自开放源的标记数据对皮肤病变进行分类,并利用 EfficientNet 作为基础模型,从不同的视觉角度稳健地捕捉判别特征。对所提算法的验证依赖于分类器区分类别的能力,该能力由接收者操作特征曲线下面积(AUC-ROC)来衡量。AUC-ROC 分数大于零,表示分类性能更佳。我们提出的模型达到了令人印象深刻的 98.65%。与现有方法相比,我们的方法能迅速、准确地识别和分割黑色素瘤皮损,展示了其在推进皮损分类领域的功效。
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引用次数: 0
Explaining deep learning-based leaf disease identification 解释基于深度学习的叶病识别
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-29 DOI: 10.1007/s00500-024-09939-x
Ankit Rajpal, Rashmi Mishra, Sheetal Rajpal, Kavita, Varnika Bhatia, Naveen Kumar

Crop diseases adversely affect agricultural productivity and quality. The primary cause of these diseases is the presence of biotic stresses such as fungi, viruses, and bacteria. Detecting these causes at early stages requires constant monitoring by domain experts. Technological advancements in machine learning and deep learning methods have enabled the automated identification of leaf disease-specific symptoms through image analysis. This paper proposes image-based detection of leaf diseases using various deep learning-based models. The experiment was conducted on the PlantVillage dataset, which consists of 54,305 colour leaf images (healthy and diseased) belonging to 11 crop species categorized into 38 classes. The Inception-ResNet-V2-based model achieved a 10-fold cross-validation accuracy of (0.9991 pm 0.002) outperforming the other deep neural architectures and surpassing the performance of existing models in recent state-of-the-art works. Each underlined model is validated on an independent cohort. The Inception-ResNet-V2-based model achieved the best 10-fold cross-validation accuracy of (0.9535 pm 0.041) and was found statistically significant among other deep learning-based models. However, these deep learning models are considered a black box as their leaf disease predictions are opaque to end users. To address this issue, a local interpretable framework is proposed to mark the superpixels that contribute to identifying leaf disease. These superpixels closely confirmed the annotations of the human expert.

农作物病害对农业生产率和质量造成不利影响。这些病害的主要原因是真菌、病毒和细菌等生物压力的存在。要在早期阶段检测出这些病因,需要领域专家的持续监测。机器学习和深度学习方法的技术进步使得通过图像分析自动识别叶片病害的具体症状成为可能。本文提出使用各种基于深度学习的模型对叶片病害进行基于图像的检测。实验是在 PlantVillage 数据集上进行的,该数据集由 54305 张彩色叶片图像(健康和病害)组成,属于 11 种作物,分为 38 类。基于Inception-ResNet-V2的模型的10倍交叉验证准确率达到了(0.9991 pm 0.002),超过了其他深度神经架构,并超越了近期最先进作品中现有模型的性能。每个带下划线的模型都在一个独立的队列中进行了验证。基于Inception-ResNet-V2的模型取得了最佳的10倍交叉验证准确率(0.9535 pm 0.041),在其他基于深度学习的模型中具有显著的统计学意义。然而,这些深度学习模型被认为是一个黑盒子,因为它们的叶病预测对终端用户来说是不透明的。为了解决这个问题,我们提出了一个局部可解释框架,以标记有助于识别叶病的超像素。这些超像素密切证实了人类专家的注释。
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引用次数: 0
Application of operation approach in fuzzy bitopological spaces 模糊位ological空间中运算方法的应用
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-27 DOI: 10.1007/s00500-024-09817-6
Satabdi Ray, Birojit Das, Baby Bhattacharya, Ómer Kişi, Carlos Granados

The central objective of this treatise is to introduce the concept ((j,k)^*_gamma )–operation in fuzzy bitopological spaces. The same operation is applied to study the concept of ((j,k)^*)-fuzzy open sets in a given fuzzy bitopological space. Existence of all the conceptions are shown by considering different operations. Various properties of the newly introduced notion are presented and justifications are provided by placing suitable examples. Furthermore, minimality of fuzzy open sets are also being studied up to some extent. Finally, results on locally finiteness of a given fuzzy bitopological space are established via operation approach.

本论文的中心目标是介绍模糊位ological空间中的((j,k)^*_gamma )操作概念。同样的运算被应用于研究给定模糊位ological空间中的((j,k)^*)-模糊开集的概念。通过考虑不同的操作,证明了所有概念的存在。提出了新引入概念的各种属性,并通过适当的例子给出了理由。此外,对模糊开集的最小性也进行了一定程度的研究。最后,通过运算方法建立了给定模糊位形空间的局部有限性结果。
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引用次数: 0
Constructing uniform design tables based on restart discrete dynamical evolutionary algorithm 基于重启离散动态进化算法构建统一设计表
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-26 DOI: 10.1007/s00500-024-09890-x
Yuelin Zhao, Feng Wu, Yuxiang Yang, Xindi Wei, Zhaohui Hu, Jun Yan, Wanxie Zhong

Generating uniform design tables (UDTs) is the first step to experimenting efficiently and effectively, and is also one of the most critical steps. Thus, the construction of uniform design tables has received much attention over the past decades. This paper presents a new algorithm for constructing uniform design tables: restart discrete dynamical evolutionary algorithm (RDDE). This algorithm is based on a well-designed dynamical evolutionary algorithm and utilizes discrete rounding technology to convert continuous variables into discrete variables. Considering the optimization of UDT is a multi-objective optimization problem, RDDE uses Friedman rank to select the optimal solution with better comprehensive comparison ranking. RDDE also utilizes a simulated annealing-based restart technology to select control parameters, thereby increasing the algorithm's ability to jump out of local optima. Comparisons with state-of-the-art UDTs and two practical engineering examples are presented to verify the uniformity of the design table constructed by RDDE. Numerical results indicate that RDDE can indeed construct UDTs with excellent uniformity at different levels, factors, and runs. Especially, RDDE can flexibly construct UDTs with unequal intervals of factors that cannot be directly processed by other designs of experiment.

生成统一设计表(UDT)是高效进行实验的第一步,也是最关键的步骤之一。因此,过去几十年来,统一设计表的构建受到了广泛关注。本文提出了一种构建统一设计表的新算法:重启离散动态进化算法(RDDE)。该算法基于精心设计的动态进化算法,利用离散舍入技术将连续变量转换为离散变量。考虑到 UDT 的优化是一个多目标优化问题,RDDE 采用弗里德曼排序法来选择综合比较排序较好的最优解。RDDE 还利用基于模拟退火的重启技术来选择控制参数,从而提高了算法跳出局部最优的能力。通过与最先进的 UDT 和两个实际工程实例的比较,验证了 RDDE 所构建的设计表的统一性。数值结果表明,RDDE 确实能在不同层次、不同系数和不同运行情况下构建出均匀性极佳的 UDT。特别是,RDDE 可以灵活地构建因子间隔不相等的 UDT,这是其他实验设计无法直接处理的。
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引用次数: 0
An accurate numerical method and its analysis for time-fractional Fisher’s equation 时间分数费雪方程的精确数值方法及其分析
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-26 DOI: 10.1007/s00500-024-09885-8
Pradip Roul, Vikas Rohil

This article aims to develop an optimal superconvergent numerical method for approximating the solution of the nonlinear time-fractional generalized Fisher’s (TFGF) equation. The time-fractional derivative in the model problem is considered in the sense of Caputo and is approximated using the (L2-1_{sigma }) scheme. Spatial discretization is performed using an optimal superconvergent quintic B-spline (OSQB) technique. To derive the method, a high-order perturbation of the semi-discretized equation of the original problem is generated using spline alternate relations. Convergence and stability of the method are analyzed, demonstrating that the method converges with (O(Delta t^{2}+Delta x^6)), where (Delta x) and (Delta t) are step sizes in space and time, respectively. Three numerical examples are provided to demonstrate the robustness of the proposed method. Our method is compared with an existing method in the literature and the elapsed computational time for the present scheme is provided.

本文旨在开发一种近似非线性时间分数广义费雪方程(TFGF)解的最优超融合数值方法。模型问题中的时间分数导数是在 Caputo 的意义上考虑的,并使用 (L2-1_{sigma }) 方案进行近似。空间离散化采用最优超收敛五次 B 样条(OSQB)技术。为了推导该方法,利用样条交替关系生成了原始问题半离散方程的高阶扰动。分析了该方法的收敛性和稳定性,证明该方法的收敛速度为 (O(Delta t^{2}+Delta x^6)),其中 (Delta x) 和 (Delta t) 分别是空间和时间上的步长。我们提供了三个数值示例来证明所提方法的鲁棒性。我们的方法与文献中的现有方法进行了比较,并提供了本方案的计算时间。
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引用次数: 0
Multiple arbitrarily inflated negative binomial regression model and its application 多重任意膨胀负二项回归模型及其应用
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-26 DOI: 10.1007/s00500-024-09889-4
Ihab Abusaif, Coşkun Kuş

This paper introduces a novel modification of the negative binomial distribution, which serves as a generalization encompassing both negative binomial and zero-inflated negative binomial distributions. This innovative distribution offers flexibility by accommodating an arbitrary number of inflation points at various locations. The paper explores key distributional properties associated with this modified distribution. Additionally, this study proposes several estimators designed to obtain estimates for the unknown parameters. Furthermore, the paper introduces a new count regression model that utilizes the modified distribution. To assess the performance of the proposed distribution and the count regression model, a comprehensive Monte Carlo simulation study is conducted. In the final stage of the paper, a real-world dataset is scrutinized to ascertain the superiority of the proposed model. This empirical analysis contributes to validating the practical applicability and effectiveness of the newly introduced distribution in comparison to existing models.

本文介绍了对负二项分布的一种新的修正,它是对负二项分布和零膨胀负二项分布的概括。这种创新的分布具有灵活性,可以在不同位置设置任意数量的膨胀点。本文探讨了与这种修正分布相关的主要分布特性。此外,本研究还提出了几种估计方法,旨在获得未知参数的估计值。此外,本文还介绍了一种利用修正分布的新计数回归模型。为了评估所提出的分布和计数回归模型的性能,本文进行了全面的蒙特卡罗模拟研究。在论文的最后阶段,对一个真实世界的数据集进行了仔细研究,以确定所提模型的优越性。与现有模型相比,这种实证分析有助于验证新引入的分布的实际适用性和有效性。
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引用次数: 0
Component adaptive sparse representation for hyperspectral image classification 用于高光谱图像分类的分量自适应稀疏表示法
IF 4.1 3区 计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE Pub Date : 2024-07-26 DOI: 10.1007/s00500-024-09951-1
Amos Bortiew, Swarnajyoti Patra, Lorenzo Bruzzone

Techniques that exploit spectral-spatial information have proven to be very effective in hyperspectral image classification. Joint sparse representation classification (JSRC) is one such technique which has been extensively used for this purpose. However, the use of a single fixed-sized window has limited its ability to incorporate spatial information. Several techniques such as multiscale superpixels based sparse representation classification (MSSRC), multiscale adaptive sparse representation classification (MASRC) and Discriminant Subdictionary Learning (DSDL) have tried to overcome this drawback by fusing information from different scales. However, their inability to simultaneously consider the correlated information at different scales and appropriate spatial neighbourhoods limits their performance. In order to better model contextual information, in this paper, we propose a modified max-tree and modified min-tree to represent the connected components of the image. Then, by exploiting these connected components, adaptive multiscale windows are defined. The potentiality of the proposed technique is validated by performing a comparative analysis with four state-of-the-art sparse representation methods using three real hyperspectral datasets. For a fixed training and test sets of University of Pavia and Indian Pines dataset, our proposed technique provides at least 3% and 2%, respectively higher classification results than the best state-of-the-art method.

事实证明,利用光谱空间信息的技术在高光谱图像分类中非常有效。联合稀疏表示分类(JSRC)就是这样一种技术,已被广泛用于此目的。然而,使用单一固定大小的窗口限制了其纳入空间信息的能力。基于多尺度超像素的稀疏表示分类(MSSRC)、多尺度自适应稀疏表示分类(MASRC)和判别子字典学习(DSDL)等几种技术试图通过融合不同尺度的信息来克服这一缺点。然而,它们无法同时考虑不同尺度的相关信息和适当的空间邻域,这限制了它们的性能。为了更好地模拟上下文信息,我们在本文中提出了修正的最大树和修正的最小树来表示图像的连接成分。然后,通过利用这些连接成分,定义了自适应多尺度窗口。通过使用三个真实的高光谱数据集与四种最先进的稀疏表示方法进行比较分析,验证了所提技术的潜力。对于帕维亚大学数据集和印度松树数据集的固定训练集和测试集,我们提出的技术比最先进的最佳方法的分类结果分别高出至少 3% 和 2%。
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引用次数: 0
期刊
Soft Computing
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