Electronic Research Archive最新文献_第7页

Existence of a positive radial solution for semilinear elliptic problem involving variable exponent 变指数半线性椭圆型问题径向正解的存在性

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023125

Changmu Chu, Shan Li, H. Suo

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

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$ ^{} $

引用次数: 0

Tutorial on prescriptive analytics for logistics: What to predict and how to predict 物流规范分析教程:预测什么以及如何预测

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023116

Xuecheng Tian, Ran Yan, Shuaian Wang, Yannick Liu, Lu Zhen

{"title":"Tutorial on prescriptive analytics for logistics: What to predict and how to predict","authors":"Xuecheng Tian, Ran Yan, Shuaian Wang, Yannick Liu, Lu Zhen","doi":"10.3934/era.2023116","DOIUrl":"https://doi.org/10.3934/era.2023116","url":null,"abstract":"The development of the Internet of things (IoT) and online platforms enables companies and governments to collect data from a much broader spatial and temporal area in the logistics industry. The huge amount of data provides new opportunities to handle uncertainty in optimization problems within the logistics system. Accordingly, various prescriptive analytics frameworks have been developed to predict different parts of uncertain optimization problems, including the uncertain parameter, the combined coefficient consisting of the uncertain parameter, the objective function, and the optimal solution. This tutorial serves as the pioneer to introduce existing literature on state-of-the-art prescriptive analytics methods, such as the predict-then-optimize framework, the smart predict-then-optimize framework, the weighted sample average approximation framework, the empirical risk minimization framework, and the kernel optimization framework. Based on these frameworks, this tutorial further proposes possible improvements and practical tips to be considered when we use these methods. We hope that this tutorial will serve as a reference for future prescriptive analytics research on the logistics system in the era of big data.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70244932","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: 8

Algorithms for solving a class of real quasi-symmetric Toeplitz linear systems and its applications 一类实拟对称Toeplitz线性系统的求解算法及其应用

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023101

Xinglong Zhang, Xiaoyu Jiang, Zhaolin Jiang, Hee-Young Byun

引用次数: 0

Multi-objective optimization design for steel-aluminum lightweight body of pure electric bus based on RBF model and genetic algorithm 基于RBF模型和遗传算法的纯电动客车钢铝轻量化车身多目标优化设计

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023102

Wuhua Jiang, Yuexin Zhang, Jie Liu, Daisheng Zhang, Y. Yan, Chuanzheng Song

{"title":"Multi-objective optimization design for steel-aluminum lightweight body of pure electric bus based on RBF model and genetic algorithm","authors":"Wuhua Jiang, Yuexin Zhang, Jie Liu, Daisheng Zhang, Y. Yan, Chuanzheng Song","doi":"10.3934/era.2023102","DOIUrl":"https://doi.org/10.3934/era.2023102","url":null,"abstract":"In order to solve the problem of insufficient range caused by the excessive weight of the pure electric bus, a multi-objective genetic algorithm (GA) and radial basis function (RBF) model are combined in this paper to realize the lightweighting of steel and aluminum hybrid body of the pure electric bus. First, the upper and lower frames of the pure electric bus body are initially designed with aluminum alloy and steel materials respectively to meet the lightweight requirements. Second, a finite element (FE) model of the bus body is established, and the validity of the model is validated through physical tests. Then, the sensitivity analysis is performed to identify the relative importance of individual design parameters over the entire domain. The Hamosilei sampling method is selected for the design of the experiment (DOE) because users can specify the number of experiments and ensure that the set of random numbers is a good representative of real variability, and the RBF model is adopted to approximate the responses of objectives and constraints. Finally, the multi-objective optimization (MOO) method based on GA with RBF model is used to solve the optimization problem of the lightweight steel-aluminum hybrid bus body. The results show that compared with the traditional fully steel body, the use of the aluminum alloy lower-frame structure can reduce body mass by 38.4%, and the proposed optimization method can further reduce the mass of the steel-aluminum body to 4.28% without affecting the structural stiffness and strength performance of the body.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70245009","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

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":null,"pages":null},"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

A selective evolutionary heterogeneous ensemble algorithm for classifying imbalanced data 不平衡数据分类的选择进化异构集成算法

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023138

Xiaomeng An, Sen Xu

{"title":"A selective evolutionary heterogeneous ensemble algorithm for classifying imbalanced data","authors":"Xiaomeng An, Sen Xu","doi":"10.3934/era.2023138","DOIUrl":"https://doi.org/10.3934/era.2023138","url":null,"abstract":"Learning from imbalanced data is a challenging task, as with this type of data, most conventional supervised learning algorithms tend to favor the majority class, which has significantly more instances than the other classes. Ensemble learning is a robust solution for addressing the imbalanced classification problem. To construct a successful ensemble classifier, the diversity of base classifiers should receive specific attention. In this paper, we present a novel ensemble learning algorithm called Selective Evolutionary Heterogeneous Ensemble (SEHE), which produces diversity by two ways, as follows: 1) adopting multiple different sampling strategies to generate diverse training subsets and 2) training multiple heterogeneous base classifiers to construct an ensemble. In addition, considering that some low-quality base classifiers may pull down the performance of an ensemble and that it is difficult to estimate the potential of each base classifier directly, we profit from the idea of a selective ensemble to adaptively select base classifiers for constructing an ensemble. In particular, an evolutionary algorithm is adopted to conduct the procedure of adaptive selection in SEHE. The experimental results on 42 imbalanced data sets show that the SEHE is significantly superior to some state-of-the-art ensemble learning algorithms which are specifically designed for addressing the class imbalance problem, indicating its effectiveness and superiority.","PeriodicalId":48554,"journal":{"name":"Electronic Research Archive","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70245123","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 effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model 交叉扩散和logistic源对追逐-逃避模型解的有界性的影响

IF 0.8 4区数学

Electronic Research Archive Pub Date : 2023-01-01 DOI: 10.3934/era.2023170

Chang-Jian Wang, Zi-Han Zheng

引用次数: 0