Axioms最新文献_第2页

Packing Spheres into a Minimum-Height Parabolic Container 将球体装入高度最小的抛物面容器中

IF 2 3区数学

Axioms Pub Date : 2024-06-13 DOI: 10.3390/axioms13060396

Yuriy Stoyan, G. Yaskov, Tetyana Romanova, Igor Litvinchev, José Manuel Velarde Cantú, Mauricio López Acosta

引用次数: 0

Recent Advances in Proximity Point Theory Applied to Fractional Differential Equations 应用于分数微分方程的临近点理论的最新进展

IF 2 3区数学

Axioms Pub Date : 2024-06-13 DOI: 10.3390/axioms13060395

N. Mlaiki, Dur-e-Shehwar Sagheer, Sana Noreen, S. Batul, A. Aloqaily

引用次数: 0

Inference of Constant-Stress Model of Fréchet Distribution under a Maximum Ranked Set Sampling with Unequal Samples 不等样最大排序集抽样下的弗雷谢分布恒应力模型推断

IF 2 3区数学

Axioms Pub Date : 2024-06-12 DOI: 10.3390/axioms13060394

Jia Liu, Liang Wang, Y. Tripathi, Y. Lio

引用次数: 0

Weighted-Likelihood-Ratio-Based EWMA Schemes for Monitoring Geometric Distributions 基于加权似然比的 EWMA 方案用于监测几何分布

IF 2 3区数学

Axioms Pub Date : 2024-06-12 DOI: 10.3390/axioms13060392

Yizhen Zhang, Hongxing Cai, Jiujun Zhang

引用次数: 0

The Measurement Errors and Their Effects on the Cumulative Sum Schemes for Monitoring the Ratio of Two Correlated Normal Variables 测量误差及其对监测两个相关正态变量比率的累积和方案的影响

IF 2 3区数学

Axioms Pub Date : 2024-06-12 DOI: 10.3390/axioms13060393

Wei Yang, Xueting Ji, Jiujun Zhang

{"title":"The Measurement Errors and Their Effects on the Cumulative Sum Schemes for Monitoring the Ratio of Two Correlated Normal Variables","authors":"Wei Yang, Xueting Ji, Jiujun Zhang","doi":"10.3390/axioms13060393","DOIUrl":"https://doi.org/10.3390/axioms13060393","url":null,"abstract":"Monitoring the ratio of two correlated normal random variables is often used in many industrial manufacturing processes. At the same time, measurement errors inevitably exist in most processes, which have different effects on the performance of various charting schemes. This paper comprehensively analyses the impacts of measurement errors on the detection ability of the cumulative sum (CUSUM) charting schemes for the ratio of two correlated normal variables. A thorough numerical assessment is performed using the Monte Carlo simulation, and the results indicate that the measurement errors negatively impact the performance of the CUSUM scheme for the ratio of two correlated normal variables. Increasing the number of measurements per set is not a lucrative approach for minimizing the negative impact of measurement errors on the performance of the CUSUM charting scheme when monitoring the ratio of two correlated normal variables. We consider a food formulation as an example that illustrates the quality control problems involving the ratio of two correlated normal variables in an industry with a measurement error. The results are presented, along with some suggestions for further study.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141351322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Fixed Time Synchronization of Stochastic Takagi–Sugeno Fuzzy Recurrent Neural Networks with Distributed Delay under Feedback and Adaptive Controls 反馈和自适应控制下具有分布式延迟的随机高木-菅野模糊循环神经网络的固定时间同步化

IF 2 3区数学

Axioms Pub Date : 2024-06-11 DOI: 10.3390/axioms13060391

Yiran Niu, Xiaofeng Xu, Ming Liu

引用次数: 0

Bicubic Splines for Fast-Contracting Control Nets 用于快速收缩控制网的双三次样条曲线

IF 2 3区数学

Axioms Pub Date : 2024-06-09 DOI: 10.3390/axioms13060390

K. Karčiauskas, Kyle Shih-Huang Lo, Erkan Gunpinar, Jörg Peters

引用次数: 0

Precise Obstacle Avoidance Movement for Three-Wheeled Mobile Robots: A Modified Curvature Tracking Method 三轮移动机器人的精确避障运动：一种改进的曲率跟踪方法

IF 2 3区数学

Axioms Pub Date : 2024-06-08 DOI: 10.3390/axioms13060389

Xiangrong Wen, Yusheng Zhou

{"title":"Precise Obstacle Avoidance Movement for Three-Wheeled Mobile Robots: A Modified Curvature Tracking Method","authors":"Xiangrong Wen, Yusheng Zhou","doi":"10.3390/axioms13060389","DOIUrl":"https://doi.org/10.3390/axioms13060389","url":null,"abstract":"This paper proposes a precise motion control strategy for a three-wheeled mobile robot with two driven rear wheels and one steered front wheel so that an obstacle avoidance motion task is able to be well implemented. Initially, the motion laws under nonholonomic constraints are expounded for the three-wheeled mobile robot in order to facilitate the derivation of its dynamic model. Subsequently, a prescribed target curve is converted into a speed target through the nonholonomic constraint of zero lateral speed. A modified dynamical tracking target that is aligned with the dynamic model is then developed based on the relative curvature of the prescribed curve. By applying this dynamical tracking target, path tracking precision is enhanced through appropriate selection of a yaw motion speed target, thus preventing speed errors from accumulating during relative curvature tracking. On this basis, integral sliding mode control and feedback linearization methods are adopted for designing robust controllers, enabling the accurate movement of the three-wheeled mobile robot along a given path. A theoretical analysis and simulation results corroborate the effectiveness of the proposed trajectory tracking control strategy in preventing off-target deviations, even with significant speed errors.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141370623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

On Modulus Statistical Convergence in Partial Metric Spaces 论部分公设空间的模数统计收敛性

IF 2 3区数学

Axioms Pub Date : 2024-06-08 DOI: 10.3390/axioms13060388

F. J. García-Pacheco, Ramazan Kama

引用次数: 0

AHD-SLE: Anomalous Hyperedge Detection on Hypergraph Symmetric Line Expansion AHD-SLE：超图对称线展开上的异常超edge 检测

IF 2 3区数学

Axioms Pub Date : 2024-06-07 DOI: 10.3390/axioms13060387

Yingle Li, Hongtao Yu, Haitao Li, Fei Pan, Shuxin Liu

{"title":"AHD-SLE: Anomalous Hyperedge Detection on Hypergraph Symmetric Line Expansion","authors":"Yingle Li, Hongtao Yu, Haitao Li, Fei Pan, Shuxin Liu","doi":"10.3390/axioms13060387","DOIUrl":"https://doi.org/10.3390/axioms13060387","url":null,"abstract":"Graph anomaly detection aims to identify unusual patterns or structures in graph-structured data. Most existing research focuses on anomalous nodes in ordinary graphs with pairwise relationships. However, complex real-world systems often involve relationships that go beyond pairwise relationships, and insufficient attention is paid to hypergraph anomaly detection, especially anomalous hyperedge detection. Some existing methods for researching hypergraphs involve transforming hypergraphs into ordinary graphs for learning, which can result in poor detection performance due to the loss of high-order information. We propose a new method for Anomalous Hyperedge Detection on Symmetric Line Expansion (AHD-SLE). The SLE of a hypergraph is an ordinary graph with pairwise relationships and can be backmapped to the hypergraph, so the SLE is able to preserve the higher-order information of the hypergraph. The AHD-SLE first maps the hypergraph to the SLE; then, the information is aggregated by Graph Convolutional Networks (GCNs) in the SLE. After that, the hyperedge embedding representation is obtained through a backmapping operation. Finally, an anomaly function is designed to detect anomalous hyperedges using the hyperedge embedding representation. Experiments on five different types of real hypergraph datasets show that AHD-SLE outperforms the baseline algorithm in terms of Area Under the receiver operating characteristic Curve(AUC) and Recall metrics.","PeriodicalId":53148,"journal":{"name":"Axioms","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141371280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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