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非线性权函数感知器的一种线性快速学习算法
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作者 周永权 赵斌 《计算机应用与软件》 CSCD 北大核心 2004年第1期72-74,共3页
高阶感知器是神经元状态变量的非线性化 ,它是一阶感知器的非线性推广 ,除了神经元状态变量的非线性化推广外 ,还对权向量函数的非线性推广而得到的感知器 ,文中定义为具有非线性权向量函数的感知器 ,由于感知器的权重及作用函数都是非... 高阶感知器是神经元状态变量的非线性化 ,它是一阶感知器的非线性推广 ,除了神经元状态变量的非线性化推广外 ,还对权向量函数的非线性推广而得到的感知器 ,文中定义为具有非线性权向量函数的感知器 ,由于感知器的权重及作用函数都是非线性函数 ,当感知器接近最优点时 ,其连接权调节幅度很小 ,采用对非线性权函数及非线性作用函数分别进行Taylor展开 ,并取其一阶式近似逼近原函数 ,从而使其非线性权函数及非线性作用函数都转化为线性函数 ,简化了感知器学习过程的计算量 ,加快了感知器的学习过程。最后 。 展开更多
关键词 非线性权函数感知器 线性快速学习算法 数学模型 单细胞神经网络
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一类加权型MUSCL格式的构造
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作者 韩爽 唐树江 李明军 《应用力学学报》 CAS CSCD 北大核心 2021年第4期1703-1709,共7页
通过引入两个非线性权函数与Yee型对称限制器相结合,构造了一类加权Yee型限制器。将此类加权型限制器应用到高精度MUSCL格式中,从而得到一类加权型MUSCL格式。数值误差分析发现,相比于Yee型对称限制器,加权Yee型限制器具有更低的数值耗... 通过引入两个非线性权函数与Yee型对称限制器相结合,构造了一类加权Yee型限制器。将此类加权型限制器应用到高精度MUSCL格式中,从而得到一类加权型MUSCL格式。数值误差分析发现,相比于Yee型对称限制器,加权Yee型限制器具有更低的数值耗散,且误差更小,收敛速度更快。通过求解三类Riemann问题的数值解进一步发现,加权Yee型限制器具有更高的分辨率和更好的数值稳定性。 展开更多
关键词 非线性权函数 Yee型对称限制器 加权型限制器 MUSCL格式 低耗散
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Risk assessment model of tunnel water inrush based on improved attribute mathematical theory 被引量:12
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作者 YANG Xiao-li ZHANG Sheng 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第2期379-391,共13页
Tunnel water inrush is one of the common geological disasters in the underground engineering construction.In order to effectively evaluate and control the occurrence of water inrush,the risk assessment model of tunnel... Tunnel water inrush is one of the common geological disasters in the underground engineering construction.In order to effectively evaluate and control the occurrence of water inrush,the risk assessment model of tunnel water inrush was proposed based on improved attribute mathematical theory.The trigonometric functions were adopted to optimize the attribute mathematical theory,avoiding the influence of mutation points and linear variation zones in traditional linear measurement functions on the accuracy of the model.Based on comprehensive analysis of various factors,five parameters were selected as the evaluation indicators for the model,including tunnel head pressure,permeability coefficient of surrounding rock,crushing degree of surrounding rock,relative angle of joint plane and tunnel section size,under the principle of dimension rationality,independence,directness and quantification.The indicator classifications were determined.The links among measured data were analyzed in detail,and the objective weight of each indicator was determined by using similar weight method.Thereby the tunnel water inrush risk assessment model is established and applied in four target segments of two different tunnels in engineering.The evaluation results and the actual excavation data agree well,which indicates that the model is of high credibility and feasibility. 展开更多
关键词 tunnel water inrush risk assessment model attribute mathematical theory nonlinear measurement function similar weight method
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