An inverse problem for identification of the coefficient in heat-conduction equation is considered. After reducing the problem to a nonlinear ill-posed operator equation, Newton type iterative methods are considered. ...An inverse problem for identification of the coefficient in heat-conduction equation is considered. After reducing the problem to a nonlinear ill-posed operator equation, Newton type iterative methods are considered. The implicit iterative method is applied to the linearized Newton equation, and the key step in the process is that a new reasonable a posteriori stopping rule for the inner iteration is presented. Numerical experiments for the new method as well as for Tikhonov method and Bakushikskii method are given, and these results show the obvious advantages of the new method over the other ones.展开更多
目的:利用R语言数据挖掘技术分析脓毒症的中医证型及用药规律,为脓毒症临床中医诊疗方案提供参考。方法:通过检索PubMed、Web of Science、中国知网、万方、维普和中国生物医学文献数据库,收集从建库至2023年12月31日收录的符合纳入标...目的:利用R语言数据挖掘技术分析脓毒症的中医证型及用药规律,为脓毒症临床中医诊疗方案提供参考。方法:通过检索PubMed、Web of Science、中国知网、万方、维普和中国生物医学文献数据库,收集从建库至2023年12月31日收录的符合纳入标准的中医药治疗脓毒症临床研究文献,建立相关处方数据库。运用Excel整理并分析方药信息,包括中医辨证分型、治法治则,中药的使用频次、性味、归经、功效等;并利用R语言进行关联规则分析及聚类分析。结果:共检索出文献10345篇,纳入分析280篇,涉及中药215味,其中排名前10的中药分别是大黄、甘草、赤芍、厚朴、黄芪、芒硝、黄芩、丹参、地黄、枳实;四气以寒、温为主,五味以苦、甘、辛为主,归经以脾、胃、肺为主,功效以清热、补虚、泻下为主,证型以热毒内盛证、瘀毒内阻证为主。关联规则分析得到核心组方为大黄、芒硝、枳实、厚朴、当归、川芎、赤芍、桃仁、地黄、红花。高频药物聚类分析得到4个聚类群,适用于不同证型。结论:治疗脓毒症的用药规律以清热、泻下、化瘀、补虚为主,核心证型-处方有4类,临床上应根据患者的证候特点进行辨证论治,在核心证型-处方的基础上随证加减。展开更多
In this paper, Homotopy Analysis method with Genetic Algorithm is presented and used to obtain an analytical solution for the time-dependent Emden-Fowler type of equations and wave-type equation with singular behavior...In this paper, Homotopy Analysis method with Genetic Algorithm is presented and used to obtain an analytical solution for the time-dependent Emden-Fowler type of equations and wave-type equation with singular behavior at x = 0. The advantage of this single global method employed to present a reliable framework is utilized to overcome the singularity behavior at the point x = 0 for both models. The method is demonstrated for a variety of problems in one and higher dimensional spaces where approximate-exact solutions are obtained. The results obtained in all cases show the reliability and the efficiency of this method.展开更多
为更准确地提取列车运行轨道特征,生成精确的轨道异物入侵判断边界,提出一种基于模型和规则的列车运行轨道特征提取方法。文章结合轨道特点对YOLO(You Only Look Once)v8n算法进行改进,引入可变核卷积模块到骨干网络以增大感受野,建立...为更准确地提取列车运行轨道特征,生成精确的轨道异物入侵判断边界,提出一种基于模型和规则的列车运行轨道特征提取方法。文章结合轨道特点对YOLO(You Only Look Once)v8n算法进行改进,引入可变核卷积模块到骨干网络以增大感受野,建立长距离依赖,更好地获取轨道长条形大目标特征。设计多特征融合注意力模块,融合浅层、深层和可变核卷积模块的特征,进行注意力加权突出有效轨道信息,获得精确的轨道掩码和位置信息。对轨道分割结果进行初步筛选,并通过阈值和感兴趣区域筛选,避免非运行区域轨道干扰。根据初步筛选结果和先验信息提取列车运行轨道特征。实验结果表明,相较于原始YOLOv8n算法,采用rail-YOLOv8n改进算法,Box mAP@0.5值和Mask mAP@0.5值分别提高0.9%和1.5%,该算法在直道、弯道和道岔等场景均取得了理想效果。展开更多
文摘An inverse problem for identification of the coefficient in heat-conduction equation is considered. After reducing the problem to a nonlinear ill-posed operator equation, Newton type iterative methods are considered. The implicit iterative method is applied to the linearized Newton equation, and the key step in the process is that a new reasonable a posteriori stopping rule for the inner iteration is presented. Numerical experiments for the new method as well as for Tikhonov method and Bakushikskii method are given, and these results show the obvious advantages of the new method over the other ones.
文摘目的:利用R语言数据挖掘技术分析脓毒症的中医证型及用药规律,为脓毒症临床中医诊疗方案提供参考。方法:通过检索PubMed、Web of Science、中国知网、万方、维普和中国生物医学文献数据库,收集从建库至2023年12月31日收录的符合纳入标准的中医药治疗脓毒症临床研究文献,建立相关处方数据库。运用Excel整理并分析方药信息,包括中医辨证分型、治法治则,中药的使用频次、性味、归经、功效等;并利用R语言进行关联规则分析及聚类分析。结果:共检索出文献10345篇,纳入分析280篇,涉及中药215味,其中排名前10的中药分别是大黄、甘草、赤芍、厚朴、黄芪、芒硝、黄芩、丹参、地黄、枳实;四气以寒、温为主,五味以苦、甘、辛为主,归经以脾、胃、肺为主,功效以清热、补虚、泻下为主,证型以热毒内盛证、瘀毒内阻证为主。关联规则分析得到核心组方为大黄、芒硝、枳实、厚朴、当归、川芎、赤芍、桃仁、地黄、红花。高频药物聚类分析得到4个聚类群,适用于不同证型。结论:治疗脓毒症的用药规律以清热、泻下、化瘀、补虚为主,核心证型-处方有4类,临床上应根据患者的证候特点进行辨证论治,在核心证型-处方的基础上随证加减。
文摘In this paper, Homotopy Analysis method with Genetic Algorithm is presented and used to obtain an analytical solution for the time-dependent Emden-Fowler type of equations and wave-type equation with singular behavior at x = 0. The advantage of this single global method employed to present a reliable framework is utilized to overcome the singularity behavior at the point x = 0 for both models. The method is demonstrated for a variety of problems in one and higher dimensional spaces where approximate-exact solutions are obtained. The results obtained in all cases show the reliability and the efficiency of this method.
