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Broadband multi-layered stepped cone shaped metamaterial absorber for energy harvesting and stealth applications 用于能量收集和隐形应用的宽带多层阶梯锥形超材料吸收器
IF 1.8 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-23 DOI: 10.1002/eng2.12903
Mehmet Bağmancı, Lulu Wang, Cumali Sabah, Muharrem Karaaslan, Liton Chandra Paul, Tithi Rani, Emin Unal

In this study, a broadband polarization and angle-independent metamaterial absorber (MA) is investigated in the microwave range. It is made up of a periodic array of multi-layered metal-dielectric stepped cones. Since the dimensions of the layers forming the unit cell are different, each layer resonates at different frequencies with overlapping bands. The overall response of the structure, with its extremely wide bandwidth, can be obtained by summing all the overlapping frequency responses corresponding to each layer. In numerical simulation, it is observed that the absorption at normal incidence is above 90% in the frequency range between 9.68 and 17.45 GHz and 95% in the frequency range between 9.91 and 14.86 GHz. The energy harvesting ratios of the structure are also evaluated in a wide spectral band. A power ratio of around 90% is obtained in the same frequency range in accordance with absorption response. A noticeable harvesting efficiency of up to 82% is observed, which represents the energy level converted into electrical energy on resistors.

本研究对微波范围内的宽带偏振和角度无关超材料吸收器(MA)进行了研究。它由多层金属电介质阶梯锥周期性阵列组成。由于构成单元单元的各层尺寸不同,因此每一层都会在不同频率上产生重叠频带的共振。将每层对应的所有重叠频率响应相加,就能得到带宽极宽的结构整体响应。数值模拟显示,在 9.68 至 17.45 千兆赫的频率范围内,正常入射时的吸收率超过 90%,在 9.91 至 14.86 千兆赫的频率范围内,吸收率达到 95%。该结构的能量收集率也在较宽的频谱带进行了评估。根据吸收响应,在相同频率范围内获得了约 90% 的功率比。观察到明显的能量收集效率高达 82%,这代表了在电阻器上转化为电能的能量水平。
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引用次数: 0
Axial compressive and cyclic lateral behavior of a structural masonry prism constructed from crushed COVID-19 face masks concrete bricks 用破碎的 COVID-19 面模混凝土砖砌筑的结构性砌体棱柱体的轴向抗压和循环侧向行为
IF 1.8 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-18 DOI: 10.1002/eng2.12895
Amr Gamal Ghoniem, Louay Aboul Nour, Martina Zeleňáková, Erika Dolníková, Dušan Katunský, Mohamed Hamdy El-Feky

Discarded medical face masks endanger the environment worldwide. In this study, experiments were conducted to investigate the effect of a shredded face mask (SFM) at 0% (control mix), 0.5%, 1.0%, and 2.0% by volume of concrete in the form of pieces that were 1 cm wide and 2 cm long on the properties of fresh and hardened concrete. After performing experimental testing on the materials, finite element masonry prisms with dimensions of 400 × 200 × 560 mm3 were modeled on the ANSYS platform. Four prisms with different fabric contents were numerically examined to study the compressive behavior, and 12 prisms with three different mortar joints were analyzed under an incremental horizontal load in the presence of four vertical displacements of 0.5, 1.0, 3.0, and 4.5 mm. The results revealed that increasing the SFM content in concrete led to a decrease in fresh and hardened concrete properties, including density, slump, split-tensile strength, and compressive strength, by 9.5%, 20%, 24%, and 34%, respectively, compared with the control concrete at 0.5%. Moreover, the addition of 0.5% SFMs to the prism bricks reduced the maximum compressive load, deflection, and strain energy by 24%, 10%, and 39%, respectively. Altering the mortar type and vertical load affected the lateral cyclic behavior of the prisms. Compared with the M3 prism subjected to the same axial displacement, the M2 prism had 21.36%, 11%, 27.2%, and 10.48% higher lateral peak load, lateral peak displacement, equivalent stress, and strain energy, respectively. Furthermore, the lateral stiffness of the prism increases as the axial pressure increases. The lateral peak load of the M3 prism measured at 1.0, 3.0, and 4.5 mm axial displacement was raised by 60%, 142%, and 182%, respectively, as compared with the same prism at 0.5 mm axial displacement. The outcome provides a feasible concept for reusing masks in concrete construction with controllable strength deterioration on the masonry prism at 0.5% recycled SFM, resulting in attractive responses of these composites at the nonstructural scale

被丢弃的医用口罩会对全球环境造成危害。在本研究中,实验人员以 1 厘米宽、2 厘米长的碎块形式,分别按混凝土体积的 0%(对照混合料)、0.5%、1.0% 和 2.0%,研究了碎口罩(SFM)对新拌混凝土和硬化混凝土性能的影响。在对材料进行实验测试后,在 ANSYS 平台上对尺寸为 400 × 200 × 560 mm3 的有限元砌体棱柱体进行了建模。在 0.5、1.0、3.0 和 4.5 毫米四种垂直位移作用下,对具有三种不同砂浆接缝的 12 个棱柱体进行了水平荷载增量分析。结果显示,与 0.5% 的对照组混凝土相比,增加混凝土中 SFM 的含量会导致混凝土的新拌和硬化性能(包括密度、坍落度、劈裂拉伸强度和抗压强度)分别降低 9.5%、20%、24% 和 34%。此外,在棱柱砖中添加 0.5% 的 SFMs 后,最大压缩荷载、挠度和应变能分别降低了 24%、10% 和 39%。改变砂浆类型和垂直荷载会影响棱柱体的横向循环行为。与承受相同轴向位移的 M3 棱柱体相比,M2 棱柱体的侧向峰值荷载、侧向峰值位移、等效应力和应变能分别增加了 21.36%、11%、27.2% 和 10.48%。此外,棱柱的横向刚度随着轴向压力的增加而增加。在轴向位移为 1.0、3.0 和 4.5 毫米时测量的 M3 棱镜横向峰值载荷分别比轴向位移为 0.5 毫米时的同一棱镜提高了 60%、142% 和 182%。研究结果为在混凝土建筑中重复使用掩模提供了一个可行的概念,在 0.5% 再生 SFM 的条件下,砌体棱柱的强度劣化是可控的,从而使这些复合材料在非结构尺度上产生了有吸引力的响应。
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引用次数: 0
Enhanced fingerprint pattern classification: Integrating attention modules with lightweight deep learning models 增强型指纹模式分类:将注意力模块与轻量级深度学习模型相结合
IF 1.8 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-15 DOI: 10.1002/eng2.12897
Esther Mukoya, Richard Rimiru, Michael Kimwele

Large fingerprint databases can make the automated search process tedious and time-consuming. Fingerprint pattern classification is a significant step in the identification system's complexity in terms of time and speed. Although several fingerprint algorithms have been developed for classification tasks, further improvements in performance and efficiency are still required. Most of the fingerprint algorithms use deep learning techniques. However, some deep learning techniques can be resource-intensive and computationally expensive, while others can disregard the spatial relationships between the features used in classifying fingerprint patterns. This study proposes using lightweight deep learning models (i.e., MobileNet and EfficientNet-B0) integrated with attention modules to classify fingerprint patterns. The two lightweight models are modified, yielding MobileNet+ and EfficientNet-B0+ models. The lightweight deep learning models can help achieve optimal performance and reduce computational complexity. The attention modules focus on distinctive features for classification. Our proposed approach integrates four attention modules for fingerprint pattern classification into two lightweight deep learning models, that is, MobileNet+ and EfficientNet-B0+. To evaluate our approach, we use two publicly available fingerprint datasets, that is, the NIST special database 301 dataset and the LivDet dataset. The evaluation results show that the EfficientNet-B0+ model achieves the highest classification accuracy of 97% with only 854,086 training parameters. As a conclusion, we consider the training parameters small enough for the EfficientNet-B0+ model to be deployed on low-resource devices.

庞大的指纹数据库会使自动搜索过程变得繁琐耗时。就时间和速度而言,指纹图案分类是身份识别系统复杂性的重要一步。虽然针对分类任务开发出了多种指纹算法,但仍需进一步提高性能和效率。大多数指纹算法都使用了深度学习技术。然而,一些深度学习技术可能会耗费大量资源和计算成本,而另一些则可能会忽略用于指纹模式分类的特征之间的空间关系。本研究建议使用集成了注意力模块的轻量级深度学习模型(即 MobileNet 和 EfficientNet-B0)来对指纹模式进行分类。这两个轻量级模型经过修改后,形成了 MobileNet+ 和 EfficientNet-B0+ 模型。轻量级深度学习模型有助于实现最佳性能并降低计算复杂度。注意力模块专注于分类的独特特征。我们提出的方法将用于指纹模式分类的四个注意力模块整合到两个轻量级深度学习模型中,即 MobileNet+ 和 EfficientNet-B0+。为了评估我们的方法,我们使用了两个公开的指纹数据集,即 NIST 特殊数据库 301 数据集和 LivDet 数据集。评估结果表明,EfficientNet-B0+ 模型仅用 854 086 个训练参数就达到了 97% 的最高分类准确率。作为结论,我们认为训练参数足够小,因此 EfficientNet-B0+ 模型可以部署在低资源设备上。
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引用次数: 0
An IoT-based multiple teaching quality evaluation method for English translation with improved deep learning 基于物联网的英语翻译多元教学质量评估方法与改进型深度学习
IF 1.8 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-12 DOI: 10.1002/eng2.12896
Ningyi Lai

To enhance the teaching quality (TQ) of English translation (ET) courses, multivariate evaluation methods have garnered significant attention for their ability to identify deficiencies in the teaching process and subsequently improve instructional standards. Traditional evaluation techniques have shown limited effectiveness. Therefore, this paper proposes an ET in multiple teaching quality (MTQ) evaluation method with improved deep learning in internet of things (IoT). First, the paper establishes evaluation indicators for ET in MTQ, which mainly encompass ET teaching effectiveness, pedagogic competency in ET, teaching methods, content, as well as attitudes towards ET teaching. It then utilizes IoT technology to preliminarily collect data on these indicators, and using clustering algorithm based on weighted attributes and density (CABWAD) algorithm to mine data on English teaching MTQ evaluation indicators for ET. The extracted evaluation indicator data is then denoised using a probabilistic undirected graph model. Ultimately, the multilayer perceptron in deep learning is improved through Wolfe line search optimization, and this enhanced multilayer perceptron is employed to construct an ET in MTQ evaluation model. The denoised indicator data is inputted into the model, which then outputs precise MTQ evaluation results. The results show that the absolute value of the average Pearson correlation coefficient of this method is the highest, the Spearman correlation coefficient is the lowest, the mean average precision value is 0.965, and the positive category imbalance degree and the negative category imbalance degree are the lowest, indicating that the proposed method has outstanding performance in all aspects, and has certain application value in the field of TQ evaluation.

为了提高英语翻译(ET)课程的教学质量(TQ),多元评价方法因其能够发现教学过程中的不足之处,进而提高教学水平而备受关注。传统的评价技术效果有限。因此,本文提出了一种在物联网(IoT)中改进深度学习的 ET 多元教学质量(MTQ)评价方法。首先,本文建立了多元教学质量(MTQ)中的电子技术评价指标,主要包括电子技术教学效果、电子技术教学能力、教学方法、教学内容以及对电子技术教学的态度。然后利用物联网技术初步收集这些指标的数据,并利用基于加权属性和密度的聚类算法(CABWAD)挖掘英语教学MTQ中ET评价指标的数据。然后利用概率无向图模型对提取的评价指标数据进行去噪处理。最后,通过沃尔夫线搜索优化改进深度学习中的多层感知器,并利用改进后的多层感知器构建MTQ评价模型中的ET。将去噪后的指标数据输入模型,然后输出精确的 MTQ 评估结果。结果表明,该方法的平均 Pearson 相关系数绝对值最高,Spearman 相关系数最低,平均精度值为 0.965,正分类失衡度和负分类失衡度最低,表明所提出的方法在各方面都有突出的表现,在旅游质量评价领域具有一定的应用价值。
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引用次数: 0
Who earns engineering degrees? Detecting longitudinal data trends with infographics 谁获得了工程学学位?用信息图表检测纵向数据趋势
IF 1.8 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-09 DOI: 10.1002/eng2.12886
Kristin L. Schaefer, Jerrod A. Henderson

Typical data available to engineering educators about the state of degrees awarded is disseminated via various groups. The most salient limitations to each of these sources are a lack of disaggregating data by multiple personal identities and an annualized reporting schedule hindering interpretations over time. This analysis ascertains how female degrees earned in engineering changed for bachelor's, master's, and doctoral degree levels from 2005 to 2021. We sought to understand trends by disaggregating ASEE records by gender, race, and engineering discipline. Data gathered from EDMS were cleaned, analyzed, and visualized, following principles for data sense making and human factors. Results highlight women gravitating towards Biological, Environmental, and Computational engineering disciplines. The total number of all degrees awarded is increasing for all genders in all disciplines, but these trends are not evenly distributed across disciplines. While it is true that the overall proportion of women in engineering wavered near 20%, this statistic does not tell the whole story of what has been occurring in engineering. By disaggregating infographics, we tracked percentage growth in certain fields as well as overall increases in number of degrees awarded at all levels of higher education. Future research is needed to determine causes for women's choices in engineering.

工程学教育者所能获得的有关学位授予情况的典型数据是通过各种团体传播的。这些数据来源最突出的局限性是缺乏按多种个人身份分类的数据,以及按年度报告的时间安排妨碍了随时间推移的解释。本分析报告确定了从 2005 年到 2021 年,女性获得的工程学学士、硕士和博士学位的变化情况。我们试图通过按性别、种族和工程学科对 ASEE 记录进行分类来了解趋势。我们遵循数据感知和人为因素原则,对从 EDMS 收集到的数据进行了清理、分析和可视化处理。结果显示,女性更倾向于生物、环境和计算工程学科。所有学科的所有性别所授予的学位总数都在增加,但这些趋势在各学科之间的分布并不均匀。虽然女性在工程学领域的总体比例确实在 20% 附近徘徊,但这一统计数字并不能说明工程学领域发生的一切。通过分解信息图表,我们跟踪了某些领域的百分比增长情况,以及各级高等教育所授予学位数量的总体增长情况。未来的研究需要确定女性选择工程学的原因。
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引用次数: 0
Active quasi circulator: Comprehensive review and performance comparison 有源准循环器:全面审查和性能比较
Q2 Engineering Pub Date : 2024-04-09 DOI: 10.1002/eng2.12898
Mehedi Hasan, Sujan Chowdhury, Hasan U. Zaman

Designing circulator as an antenna interface device becomes a daunting task, particularly active-quasi circulator. This article focuses on demonstrating the basic operation principle, design methods, technical parameters, and performance metrics of active quasi-circulator. In addition, the study provides an analogy of the circuits and structures proposed by the researchers to enhance certain performance metrics. Active signal cancellation and passive signal cancellation are identified as the major design approaches. Tunable, wideband, and wideband-tunable are the major types of circulators found in existing literature. Moreover, this article provides a performance comparison of the active-quasi circulators available in existing literature. Several active quasi-circulators were able to operate in high frequencies such as 60 GHz with acceptable isolation levels. On the other hand, several designs have over 30 dB isolation, which is a highly desired parameter. At last, the future design challenges associated with active-quasi circulators have been discussed to provide insight into future research.

设计作为天线接口设备的环行器是一项艰巨的任务,尤其是有源准环行器。本文重点论证了有源准环行器的基本工作原理、设计方法、技术参数和性能指标。此外,研究还对研究人员为提高某些性能指标而提出的电路和结构进行了类比。有源信号消除和无源信号消除被确定为主要的设计方法。可调谐、宽带和宽带可调谐是现有文献中发现的主要环形器类型。此外,本文还对现有文献中的有源准环行器进行了性能比较。有几种有源准环行器能够在 60 GHz 等高频率下工作,并具有可接受的隔离水平。另一方面,有几种设计的隔离度超过了 30 dB,这是一个非常理想的参数。最后,还讨论了与有源准环形器相关的未来设计挑战,以便为未来研究提供启示。
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引用次数: 0
Elevating metaverse virtual reality experiences through network-integrated neuro-fuzzy emotion recognition and adaptive content generation algorithms 通过网络集成神经模糊情感识别和自适应内容生成算法提升元虚拟现实体验
IF 1.8 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-04-09 DOI: 10.1002/eng2.12894
Oshamah Ibrahim Khalaf, Dhamodharan Srinivasan, Sameer Algburi, Jeevanantham Vellaichamy, Dhanasekaran Selvaraj, Mhd Saeed Sharif, Wael Elmedany

Interactions between individuals and digital material have completely changed with the advent of the Metaverse. Due to this, there is an immediate need to construct cutting-edge technology that can recognize the emotions of users and continuously provide material that is relevant to their psychological states, improving their overall experience. An inventive method that combines natural language processing adaptive content generation algorithms and neuro-fuzzy-based support vector machines natural language processing (SVM-NLP) is proposed by researchers to meet this demand. With this merging, the Metaverse will be able to offer highly tailored and engaging experiences. Initially, a neuro-fuzzy algorithm was developed to identify people's emotional moods from their physiological reactions and other biometric information. Fuzzy Logic and Support Vector Machine work together to manage the inherent ambiguity and unpredictability, which results in a more exact and accurate categorization of emotions. A key component of the ACGA is NLP technology, which uses real-time emotional data to dynamically modify and personalize characters, stories, and interactive features in the Metaverse. The novelty of the proposed approach lies in the innovative integration of neuro-fuzzy-based SVM-NLP algorithms to accurately recognize and adapt to users' emotional states, enhancing the Metaverse experience across various applications. The proposed method is implemented using Python software. This adaptive approach significantly enhances users' immersion, emotional involvement, and overall satisfaction within the augmented reality environment by tailoring information to their responses. The findings show that the SVM-NLP emotion identification algorithm based on neuro-fuzzy, has a high degree of accuracy in recognizing emotional states, which holds promise for creating a Metaverse that is more emotionally compelling and immersive. Stronger human–computer interactions and a wider range of applications, including virtual therapy, educational resources, entertainment, and social media networking, might be made possible by integrating SVM-NLP. These sophisticated systems are around 92% accurate in interpreting the emotions.

随着 "元宇宙 "的出现,个人与数字资料之间的互动发生了彻底改变。因此,亟需构建能够识别用户情绪的尖端技术,不断提供与用户心理状态相关的资料,改善用户的整体体验。为了满足这一需求,研究人员创造性地提出了一种将自然语言处理自适应内容生成算法与基于神经模糊的支持向量机自然语言处理(SVM-NLP)相结合的方法。通过这种融合,Metaverse 将能够提供高度定制化和引人入胜的体验。最初,人们开发了一种神经模糊算法,用于从人们的生理反应和其他生物识别信息中识别他们的情绪。模糊逻辑和支持向量机共同管理固有的模糊性和不可预测性,从而对情绪进行更准确、更精确的分类。ACGA 的一个关键组成部分是 NLP 技术,它利用实时情感数据动态修改和个性化 Metaverse 中的角色、故事和互动功能。所提方法的新颖之处在于创新性地整合了基于神经模糊的 SVM-NLP 算法,以准确识别和适应用户的情绪状态,从而增强 Metaverse 在各种应用中的体验。所提出的方法是通过 Python 软件实现的。这种自适应方法通过根据用户的反应定制信息,大大增强了用户在增强现实环境中的沉浸感、情感投入和整体满意度。研究结果表明,基于神经模糊的 SVM-NLP 情绪识别算法在识别情绪状态方面具有很高的准确性,这为创建更具情感吸引力和沉浸感的 Metaverse 带来了希望。通过集成 SVM-NLP,可以实现更强的人机交互和更广泛的应用,包括虚拟治疗、教育资源、娱乐和社交媒体网络。这些复杂的系统在解读情绪方面的准确率约为 92%。
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引用次数: 0
A review of research on MnS inclusions in high-quality steel 优质钢中 MnS夹杂物研究综述
Q2 Engineering Pub Date : 2024-03-31 DOI: 10.1002/eng2.12892
Yan Song, Hainan Zhang, Lei Ren

MnS which has good plasticity is a non-metallic inclusion commonly found in steel. For most steel types, the size, shape, and distribution of MnS have a significant influence on the properties of steel. The large-sized MnS inclusions disrupt the continuity of the steel and cause the anisotropy in steel. The result is a decline of steel's overall performance. In contrast, the small-sized MnS inclusions which in the shape of spherical or spindle in steel can diminish the incidence of thermal embrittlement and improve the machinability of steel. The morphology of MnS in steel is mainly affected by the ingredients of steel and heat treatment manner. MnS inclusions in steel are present in spherical, polyhedral, dendritic, and irregular shapes. The precipitation behavior is mainly affected by the steel ingredients, heat treatment system, and other factors. This paper summarizes the latest research results about the factors affecting MnS inclusions and controlling measures in high-quality steel in recent years.

具有良好塑性的 MnS 是钢中常见的一种非金属夹杂物。对于大多数钢种来说,MnS 的大小、形状和分布对钢的性能有很大影响。大尺寸的 MnS 杂质会破坏钢的连续性,导致钢的各向异性。其结果是钢的整体性能下降。相反,钢中呈球状或纺锤状的小尺寸 MnS 杂质可以减少热脆的发生,提高钢的可加工性。钢中 MnS 的形态主要受钢的成分和热处理方式的影响。钢中的 MnS 夹杂物有球状、多面体状、树枝状和不规则状。析出行为主要受钢材成分、热处理制度等因素的影响。本文总结了近年来有关影响优质钢中 MnS 包裹体的因素及控制措施的最新研究成果。
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引用次数: 0
ChatGPT versus Bard: A comparative study ChatGPT 与 Bard:对比研究
IF 1.8 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-03-28 DOI: 10.1002/eng2.12890
Imtiaz Ahmed, Mashrafi Kajol, Uzma Hasan, Partha Protim Datta, Ayon Roy, Md. Rokonuzzaman Reza

The rapid progress in conversational AI has given rise to advanced language models capable of generating human-like texts. Among these models, ChatGPT and Bard, developed by OpenAI and Google AI respectively, have gained significant attention. With their wide range of functionalities, such as human-like response generation, proficiency in professional exams, complex problem solving, and more, these models have captured interest. This study presents a comprehensive survey exploring and comparing the capabilities and features of ChatGPT and Bard. We delve into their architectures, training methodologies, performance evaluations, and limitations across various domains. Ethical considerations such as biases and potential misconduct are also examined. Our findings highlight ChatGPT's exceptional performance, positioning it as a leading model. This survey is a vital resource for scholars, innovators, and interested parties operating within the domain of conversational artificial intelligence, offering valuable insights for the advancement of cutting-edge language models.

对话式人工智能的快速发展催生了能够生成类人文本的高级语言模型。在这些模型中,分别由 OpenAI 和谷歌人工智能开发的 ChatGPT 和 Bard 引起了广泛关注。这些模型具有广泛的功能,如生成类人回复、精通专业考试、解决复杂问题等,因此备受关注。本研究对 ChatGPT 和 Bard 的功能和特点进行了全面的探讨和比较。我们深入探讨了它们在不同领域的架构、训练方法、性能评估和局限性。此外,我们还研究了道德方面的考虑因素,如偏见和潜在的不当行为。我们的研究结果凸显了 ChatGPT 的卓越性能,并将其定位为领先模型。这份调查报告对于在会话人工智能领域工作的学者、创新者和相关人士来说是一份重要的资源,为前沿语言模型的发展提供了宝贵的见解。
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引用次数: 0
LocalPoly interpolation: Generalizing tricubic for Cn continuity in M-dimensional spaces 局部多项式插值:在 M 维空间中实现 Cn 连续性的三立方泛化
IF 1.8 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-03-28 DOI: 10.1002/eng2.12888
Edvin Åblad

Tricubic interpolation, originally introduced by Lekien and Marsden (Int J Numer Methods Eng. 2005; 63(3): 455–471), has been a cornerstone in the field of interpolation, providing C1$$ {C}^1 $$ continuous interpolations within three-dimensional spaces. However, real-world applications often demand higher levels of smoothness within M$$ M $$-dimensional spaces. This paper introduces LocalPoly interpolation, a novel generalization of tricubic interpolation that extends to Cn$$ {C}^n $$ continuity and M$$ M $$ dimensions. A key property is the use of solely local data for interpolation, allowing for on-demand computation of interpolation polynomials, which is particularly advantageous in scenarios where a minor subset of the space is of interest. We rigorously prove the Cn$$ {C}^n $$ continuity achieved by the LocalPoly interpolation method; the proof features a numerically exact method for computing polynomial coefficients. The enhanced continuity is of great relevance in optimization algorithms, where efficient convergence often relies on the availability of C

三三次插值最初由 Lekien 和 Marsden 提出(Int J Numer Methods Eng:455-471),它一直是插值领域的基石,提供三维空间内的连续插值。然而,现实世界的应用往往要求在二维空间内实现更高水平的平滑性。本文介绍了 LocalPoly 插值法,这是一种新颖的三维插值法概括,可扩展到连续性和维度。它的一个关键特性是仅使用本地数据进行插值,允许按需计算插值多项式,这在需要关注空间的次要子集的情况下尤为有利。我们严格证明了 LocalPoly 插值方法所实现的连续性;该证明采用了数值精确的多项式系数计算方法。增强的连续性在优化算法中具有重要意义,因为优化算法的高效收敛往往依赖于信息的可用性。本文探讨了 LocalPoly 插值在平方距离场中的应用,提供了对计算效率和实际影响的见解。论文还讨论了未来的研究方向,以解决该方法在维度方面的局限性,使其成为各种科学和工程应用中插值方法工具箱的重要补充。
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Engineering reports : open access
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