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Induced 3-Hom-Lie superalgebras 诱导3- homlie超代数
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023237
Baoling Guan, Xinxin Tian, Lijun Tian
{"title":"Induced 3-Hom-Lie superalgebras","authors":"Baoling Guan, Xinxin Tian, Lijun Tian","doi":"10.3934/era.2023237","DOIUrl":"https://doi.org/10.3934/era.2023237","url":null,"abstract":"<abstract><p>We construct 3-Hom-Lie superalgebras on a commutative Hom-superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Hom-Lie superalgebras by means of supertrace.</p></abstract>","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70246949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A fair evaluation of the potential of machine learning in maritime transportation 对机器学习在海上运输中的潜力进行公平评估
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023243
Xi Luo, Ran Yan, Shuaian Wang, Lu Zhen
{"title":"A fair evaluation of the potential of machine learning in maritime transportation","authors":"Xi Luo, Ran Yan, Shuaian Wang, Lu Zhen","doi":"10.3934/era.2023243","DOIUrl":"https://doi.org/10.3934/era.2023243","url":null,"abstract":"Machine learning (ML) techniques are extensively applied to practical maritime transportation issues. Due to the difficulty and high cost of collecting large volumes of data in the maritime industry, in many maritime studies, ML models are trained with small training datasets. The relative predictive performances of these trained ML models are then compared with each other and with the conventional model using the same test set. The ML model that performs the best out of the ML models and better than the conventional model on the test set is regarded as the most effective in terms of this prediction task. However, in scenarios with small datasets, this common process may lead to an unfair comparison between the ML and the conventional model. Therefore, we propose a novel process to fairly compare multiple ML models and the conventional model. We first select the best ML model in terms of predictive performance for the validation set. Then, we combine the training and the validation sets to retrain the best ML model and compare it with the conventional model on the same test set. Based on historical port state control (PSC) inspection data, we examine both the common process and the novel process in terms of their ability to fairly compare ML models and the conventional model. The results show that the novel process is more effective at fairly comparing the ML models with the conventional model on different test sets. Therefore, the novel process enables a fair assessment of ML models' ability to predict key performance indicators in the context of limited data availability in the maritime industry, such as predicting the ship fuel consumption and port traffic volume, thereby enhancing their reliability for real-world applications.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70247104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Energy-to-peak control for switched systems with PDT switching PDT开关系统的能量-峰值控制
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023268
Jingjing Dong, Xiaofeng Ma, Lan He, Xin Huang, Jianping Zhou
{"title":"Energy-to-peak control for switched systems with PDT switching","authors":"Jingjing Dong, Xiaofeng Ma, Lan He, Xin Huang, Jianping Zhou","doi":"10.3934/era.2023268","DOIUrl":"https://doi.org/10.3934/era.2023268","url":null,"abstract":"This paper investigates the issue of energy-to-peak control for continuous-time switched systems. A generalized switching signal, known as persistent dwell-time switching, is considered. Two different strategies for state-feedback controller design are proposed, using distinct Lyapunov functions and a few decoupling techniques. The critical distinction between these two strategies lies in their temporal characteristics: one is time-independent, while the other is quasi-time-dependent. Compared to the former, the latter has the potential to be less conservative. The validity of the proposed design strategies is demonstrated through an example.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70247398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Interactive complex ontology matching with local and global similarity deviations 基于局部和全局相似度偏差的交互式复杂本体匹配
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023291
Xingsi Xue, Miao Ye
{"title":"Interactive complex ontology matching with local and global similarity deviations","authors":"Xingsi Xue, Miao Ye","doi":"10.3934/era.2023291","DOIUrl":"https://doi.org/10.3934/era.2023291","url":null,"abstract":"Ontology serves as a central technique in the semantic web to elucidate domain knowledge. The challenge of dealing with the heterogeneity introduced by diverse domain ontologies necessitates ontology matching, a process designed to identify semantically interconnected entities within these ontologies. This task is inherently complex due to the broad, diverse entities and the rich semantics inherent in vocabularies. To tackle this challenge, we bring forth a new interactive ontology matching method with local and global similarity deviations (IOM-LGSD) for ontology matching, which consists of three novel components. First, a local and global similarity deviation (LGSD) metrics are presented to measure the consistency of similarity measures (SMs) and single out the less consistent SMs for user validation. Second, we present a genetic algorithm (GA) based SM selector to evolve the SM subsets. Lastly, a problem-specific induced ordered weighting aggregating (IOWA) operator based SM aggregator is proposed to assess the quality of selected SMs. The experiment evaluates IOM-LGSD with the ontology alignment evaluation initiative (OAEI) Benchmark and three real-world sensor ontologies. The evaluation underscores the effectiveness of IOM-LGSD in efficiently identifying high-quality ontology alignments, which consistently outperforms comparative methods in terms of effectiveness and efficiency.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70247657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of long-term maintenance decision for asphalt pavement based on analytic hierarchy process and network level optimization decision 基于层次分析法和网络级优化决策的沥青路面长期养护决策分析
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023299
Jiuda Huang, Chao Han, Wuju Wei, Chengjun Zhao
{"title":"Analysis of long-term maintenance decision for asphalt pavement based on analytic hierarchy process and network level optimization decision","authors":"Jiuda Huang, Chao Han, Wuju Wei, Chengjun Zhao","doi":"10.3934/era.2023299","DOIUrl":"https://doi.org/10.3934/era.2023299","url":null,"abstract":"In order to effectively mitigate the deterioration of pavement and roadbed, the need for extensive repairs and costly reconstruction ought to be minimized. Hence, this study introduces a novel approach towards long-term preservation of asphalt pavement, which conducts in-depth research on pavement maintenance decision-making using the decision tree method. The selection of appropriate decision-making indicators is based on their respective significance and the actual maintenance requirements, from which a comprehensive decision model for asphalt pavement maintenance is developed. By employing the Analytic Hierarchy Process (AHP) and a network-level optimization decision-making approach, this study investigates the allocation of maintenance decisions, structural preservation, optimal combinations of maintenance strategies, and fund allocation schemes. The result is the development of a project-level and network-level structural preservation decision optimization method. Furthermore, a decision-making module is designed to accompany this method, facilitating the visualization of comprehensive data and decision-making plans. This module enhances the effectiveness and efficiency of the decision-making process by providing a user-friendly interface and a clear presentation of data-driven insights and decision outcomes. The case study clearly proved the applicability and rationality of the long-term preservation strategy of structures based on intelligent decision-making, which laid the foundation for the sustainable development of pavement maintenance and development.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70247894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Edge detection of remote sensing image based on Grünwald-Letnikov fractional difference and Otsu threshold 基于gr<s:1> nwald- letnikov分数差和Otsu阈值的遥感图像边缘检测
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023066
Chao Chen, Hua Kong, Bin Wu
{"title":"Edge detection of remote sensing image based on Grünwald-Letnikov fractional difference and Otsu threshold","authors":"Chao Chen, Hua Kong, Bin Wu","doi":"10.3934/era.2023066","DOIUrl":"https://doi.org/10.3934/era.2023066","url":null,"abstract":"With the development of remote sensing technology, the resolution of remote sensing images is improving, and the presentation of geomorphic information is becoming more and more abundant, the difficulty of identifying and extracting edge information is also increasing. This paper demonstrates an algorithm to detect the edges of remote sensing images based on Grünwald–Letnikov fractional difference and Otsu threshold. First, a convolution difference mask with two parameters in four directions is constructed by using the definition of the Grünwald–Letnikov fractional derivative. Then, the mask is convolved with the gray image of the remote sensing image, and the edge detection image is obtained by binarization with Otsu threshold. Finally, the influence of two parameters and threshold values on detection results is discussed. Compared with the results of other detectors on the NWPU VHR-10 dataset, it is found that the algorithm not only has good visual effect but also shows good performance in quantitative evaluation indicators (binary graph similarity and edge pixel ratio).","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70244415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The critical exponents for a semilinear fractional pseudo-parabolic equation with nonlinear memory in a bounded domain 一类具有非线性记忆的半线性分数型伪抛物型方程在有界区域内的临界指数
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023129
Yaning Li, Yuting Yang
{"title":"The critical exponents for a semilinear fractional pseudo-parabolic equation with nonlinear memory in a bounded domain","authors":"Yaning Li, Yuting Yang","doi":"10.3934/era.2023129","DOIUrl":"https://doi.org/10.3934/era.2023129","url":null,"abstract":"This paper considers blow-up and global existence for a semilinear space-time fractional pseudo-parabolic equation with nonlinear memory in a bounded domain. We determine the critical exponents of the Cauchy problem when $ alpha < gamma $ and $ alphage gamma, $ respectively. The results obtained in this study are noteworthy extension to the results of time-fractional differential equation. The critical exponent is consistent with the corresponding Cauchy problem for the time-fractional differential equation with nonlinear memory, which illustrates that the diffusion effect of the third order term is not strong enough to change the critical exponents.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"6 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70244749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On constrained minimizers for Kirchhoff type equations with Berestycki-Lions type mass subcritical conditions Berestycki-Lions型质量亚临界条件下Kirchhoff型方程的约束极小化
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023131
Jing Hu, Jijiang Sun$ ^{} $
{"title":"On constrained minimizers for Kirchhoff type equations with Berestycki-Lions type mass subcritical conditions","authors":"Jing Hu, Jijiang Sun$ ^{} $","doi":"10.3934/era.2023131","DOIUrl":"https://doi.org/10.3934/era.2023131","url":null,"abstract":"In this paper, for given mass $ m > 0 $, we focus on the existence and nonexistence of constrained minimizers of the energy functional begin{document}$ begin{equation*} I(u): = frac{a}{2}int_{mathbb{R}^3}left|nabla uright|^2dx+frac{b}{4}left(int_{mathbb{R}^3}left|nabla uright|^2dxright)^2-int_{mathbb{R}^3}F(u)dx end{equation*} $end{document} on $ S_m: = left{uin H^1(mathbb{R}^3):, |u|^2_2 = mright}, $where $ a, b > 0 $ and $ F $ satisfies the almost optimal mass subcritical growth assumptions. We also establish the relationship between the normalized ground state solutions and the ground state to the action functional $ I(u)-frac{lambda}{2}|u|_2^2 $. Our results extend, nontrivially, the ones in Shibata (Manuscripta Math. 143 (2014) 221–237) and Jeanjean and Lu (Calc. Var. 61 (2022) 214) to the Kirchhoff type equations, and generalize and sharply improve the ones in Ye (Math. Methods. Appl. Sci. 38 (2015) 2603–2679) and Chen et al. (Appl. Math. Optim. 84 (2021) 773–806).","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70244821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A classification method for breast images based on an improved VGG16 network model 基于改进VGG16网络模型的乳腺图像分类方法
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023120
Yi Dong, Jinjiang Liu, Yihua Lan
{"title":"A classification method for breast images based on an improved VGG16 network model","authors":"Yi Dong, Jinjiang Liu, Yihua Lan","doi":"10.3934/era.2023120","DOIUrl":"https://doi.org/10.3934/era.2023120","url":null,"abstract":"Breast cancer is the cancer with the highest incidence in women worldwide, and seriously threatens the lives and health of women. Mammography, which is commonly used for screening, is considered to be the most effective means of diagnosing breast cancer. Currently, computer-assisted breast mass systems based on mammography can help doctors improve film reading efficiency, but improving the accuracy of assisted diagnostic systems and reducing the false positive rate are still challenging tasks. In the image classification field, convolutional neural networks have obvious advantages over other classification algorithms. Aiming at the very small percentage of breast lesion area in breast X-ray images, in this paper, the classical VGG16 network model is improved by simplifying the network structure, optimizing the convolution form and introducing an attention mechanism. The improved model achieves 99.8 and 98.05% accuracy on the Mammographic Image Analysis Society (MIAS) and The Digital Database for Screening Mammography (DDSM), respectively, which is obviously superior to some methods of recent studies.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70245051","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Virtual reality in human-robot interaction: Challenges and benefits 人机交互中的虚拟现实:挑战与益处
IF 0.8 4区 数学
Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023121
Yuanzhong Lei, Zhi Su, Chao Cheng
{"title":"Virtual reality in human-robot interaction: Challenges and benefits","authors":"Yuanzhong Lei, Zhi Su, Chao Cheng","doi":"10.3934/era.2023121","DOIUrl":"https://doi.org/10.3934/era.2023121","url":null,"abstract":"Virtual reality (VR) technology has been increasingly employed in human-robot interaction (HRI) research to enhance the immersion and realism of the interaction. However, the integration of VR into HRI also introduces new challenges, such as latency, mismatch between virtual and real environments and potential adverse effects on human users. Despite these challenges, the use of VR in HRI has the potential to provide numerous benefits, including improved communication, increased safety and enhanced training and education. Yet, little research has been done by scholars to review the state of the art of VR applications in human-robot interaction. To bridge the gap, this paper provides an overview of the challenges and benefits of using VR in HRI, as well as current research in the field and future directions for development. It has been found that robots are getting more personalized, interactive and engaging than ever; and with the popularization of virtual reality innovations, we might be able to foresee the wide adoption of VR in controlling robots to fulfill various tasks of hospitals, schools and factories. Still, there are several challenges, such as the need for more advanced VR technologies to provide more realistic and immersive experiences, the development of more human-like robot models to improve social interactions and the need for better methods of evaluating the effectiveness of VR in human-robot interaction.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70245058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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