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敦煌《算经》编撰年代及源流探析 被引量:1
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作者 任占鹏 《敦煌研究》 CSSCI 北大核心 2021年第6期107-115,共9页
关于敦煌写本《算经》的编撰年代,有唐代说、五代说以及唐五代说,笔者结合韩延《夏侯阳算经》,将其编撰年代推定在唐代宗建中元年之后的中晚唐或后唐。《算经》类算书的源流,前人多追溯至晋代的《孙子算经》。笔者通过对比,认为北大秦... 关于敦煌写本《算经》的编撰年代,有唐代说、五代说以及唐五代说,笔者结合韩延《夏侯阳算经》,将其编撰年代推定在唐代宗建中元年之后的中晚唐或后唐。《算经》类算书的源流,前人多追溯至晋代的《孙子算经》。笔者通过对比,认为北大秦简《算书》甲篇是《孙子算经》《算经》的源头,其内容和结构对后世算书的编撰有很大影响;《算经》分门别类的编撰体式,是受北朝《算书》的影响,而北朝《算书》上承《孙子算经》。由此,《算经》类算书的源流和发展脉络愈加明晰。 展开更多
关键词 敦煌写本 《算经》 《孙子算经》 北大秦简《算书》甲篇 北朝《算书》
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关于北京大学藏秦简《算书乙种》的综合研究
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作者 邹大海 夏庆卓 《自然科学史研究》 CSSCI CSCD 北大核心 2024年第2期129-145,共17页
新近公布的北京大学藏秦简牍中有三种前所未知的数学著作,《算书乙种》是其中之一。本文首次对它进行系统的研究,分析其体例与编纂特点、知识类型与数学方法,以及相关的社会背景,并修正了以前学术界的若干不当认识。此书为撮编之作,结... 新近公布的北京大学藏秦简牍中有三种前所未知的数学著作,《算书乙种》是其中之一。本文首次对它进行系统的研究,分析其体例与编纂特点、知识类型与数学方法,以及相关的社会背景,并修正了以前学术界的若干不当认识。此书为撮编之作,结构上有一定层次,体现出编排的意图但考虑不周。作为实用算法式数学文献,此书不属于从“九数”发展至《九章算术》的经典系统,但它的内容仍为刘徽关于《九章算术》源于其先秦祖本的记载提供了新的直接证据。同时,此书也为研究秦国和秦代社会经济提供了难得的原始文献。 展开更多
关键词 北京大学藏秦简牍 《算书乙种》 《九章术》 中国数学史 计量制度 秦汉史
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《算海说详》初探 被引量:1
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作者 高峰 冯立昇 《自然科学史研究》 CSCD 北大核心 2013年第2期176-191,共16页
《算海说详》是清初李长茂以《算法统宗》为蓝本编纂的珠算著作,它继承并发展了《几何原本》《同文算指》传入之前中国传统算学的内容。一直以来,学者多认为该书仅仅是《算法统宗》的注解之作,因而关注不够,在数学史上较少论及。本文首... 《算海说详》是清初李长茂以《算法统宗》为蓝本编纂的珠算著作,它继承并发展了《几何原本》《同文算指》传入之前中国传统算学的内容。一直以来,学者多认为该书仅仅是《算法统宗》的注解之作,因而关注不够,在数学史上较少论及。本文首先考证了李长茂的生平及《算海说详》的著刻缘起,对该书的两个刊本作了详细的比对。并通过对该书结构和内容的讨论,试图对《算海说详》在若干算学问题上的创获和局限作出客观的评价。 展开更多
关键词 传统 《算海说详》 《算法统宗》 李长茂
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关于程大位及其《算法统宗》评价问题的探讨 被引量:1
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作者 金萍 丁祖荣 《华中师范大学学报(自然科学版)》 CAS CSCD 1994年第3期424-428,共5页
关于程大位及其所著的《算法统宗》,历史上一直评价不一.本文通过大量文献分析与研究,着重从《算法统宗》问世的重大意义、其内容特点和影响,以及它的应用价值和在理论上的创新几方面探讨了这一问题,旨在给程大位及其《算法统宗》... 关于程大位及其所著的《算法统宗》,历史上一直评价不一.本文通过大量文献分析与研究,着重从《算法统宗》问世的重大意义、其内容特点和影响,以及它的应用价值和在理论上的创新几方面探讨了这一问题,旨在给程大位及其《算法统宗》一个客观、公正与科学地评价. 展开更多
关键词 数学史 程大位 《算法统宗》
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Research on Short-Term Electric Load Forecasting Using IWOA CNN-BiLSTM-TPA Model
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作者 MEI Tong-da SI Zhan-jun ZHANG Ying-xue 《印刷与数字媒体技术研究》 北大核心 2025年第1期179-187,共9页
Load forecasting is of great significance to the development of new power systems.With the advancement of smart grids,the integration and distribution of distributed renewable energy sources and power electronics devi... Load forecasting is of great significance to the development of new power systems.With the advancement of smart grids,the integration and distribution of distributed renewable energy sources and power electronics devices have made power load data increasingly complex and volatile.This places higher demands on the prediction and analysis of power loads.In order to improve the prediction accuracy of short-term power load,a CNN-BiLSTMTPA short-term power prediction model based on the Improved Whale Optimization Algorithm(IWOA)with mixed strategies was proposed.Firstly,the model combined the Convolutional Neural Network(CNN)with the Bidirectional Long Short-Term Memory Network(BiLSTM)to fully extract the spatio-temporal characteristics of the load data itself.Then,the Temporal Pattern Attention(TPA)mechanism was introduced into the CNN-BiLSTM model to automatically assign corresponding weights to the hidden states of the BiLSTM.This allowed the model to differentiate the importance of load sequences at different time intervals.At the same time,in order to solve the problem of the difficulties of selecting the parameters of the temporal model,and the poor global search ability of the whale algorithm,which is easy to fall into the local optimization,the whale algorithm(IWOA)was optimized by using the hybrid strategy of Tent chaos mapping and Levy flight strategy,so as to better search the parameters of the model.In this experiment,the real load data of a region in Zhejiang was taken as an example to analyze,and the prediction accuracy(R2)of the proposed method reached 98.83%.Compared with the prediction models such as BP,WOA-CNN-BiLSTM,SSA-CNN-BiLSTM,CNN-BiGRU-Attention,etc.,the experimental results showed that the model proposed in this study has a higher prediction accuracy. 展开更多
关键词 Whale Optimization Algorithm Convolutional Neural Network Long Short-Term Memory Temporal Pattern Attention Power load forecasting
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《盘珠算法》考 被引量:3
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作者 郭金彬 《福建师范大学学报(哲学社会科学版)》 1994年第3期35-40,共6页
我国是发明珠算的故乡。珠算为东方的中国和日本等国民众广为使用。珠算是用珠盘(算盘)计数运算的方法,其工具就是珠盘(算盘)。日本的珠算,是由中国传入的。现存世上最早的珠算之书是《盘珠算法》,此书仅日本内阁文库藏有原本。这本《... 我国是发明珠算的故乡。珠算为东方的中国和日本等国民众广为使用。珠算是用珠盘(算盘)计数运算的方法,其工具就是珠盘(算盘)。日本的珠算,是由中国传入的。现存世上最早的珠算之书是《盘珠算法》,此书仅日本内阁文库藏有原本。这本《盘珠算法》,是在中国福建刊印的。 展开更多
关键词 《算法统宗》 数术记遗 日本内阁文库 盘珠 《九章法比类大全》 铺地锦 程大位 商业数学 《中国科学技术史》 宋元时期
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中国传统文化的一朵奇葩——《世界珠算通典》评介
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作者 朱玉 米祥 《中国出版》 CSSCI 北大核心 1997年第10期49-49,共1页
中国传统文化的一朵奇葩———《世界珠算通典》评介□朱玉米祥997年1月,东瀛传喜讯,由珠算史专家李培业、铃木久男主编,中日两国专家学者共同编写,陕西人民出版社1996年8月出版的《世界珠算通典》(以下简称《通典》)一... 中国传统文化的一朵奇葩———《世界珠算通典》评介□朱玉米祥997年1月,东瀛传喜讯,由珠算史专家李培业、铃木久男主编,中日两国专家学者共同编写,陕西人民出版社1996年8月出版的《世界珠算通典》(以下简称《通典》)一书,在日本东京举行的亚太地区出版家... 展开更多
关键词 中国传统文化 《通典》 法体系 学术价值 《算法统宗》 古代文化遗产 发展状况 教育 现代数学 演绎体系
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Matching consumers and stage-stations on community group buying platforms:An approach with hierarchy algorithms
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作者 Liyuan Lin 《中国科学技术大学学报》 CSCD 北大核心 2024年第11期55-65,54,67,共13页
Motivated by the business model called“community group buying”(CGB),which has emerged in China and some countries in Southeast Asia,such as Singapore and Indonesia,we develop algorithms that could help CGB platforms... Motivated by the business model called“community group buying”(CGB),which has emerged in China and some countries in Southeast Asia,such as Singapore and Indonesia,we develop algorithms that could help CGB platforms match consumers with stage-stations(the picking up center under the CGB mode).By altering the fundamental design of the existing hierarchy algorithms,improvements are achieved.It is proven that our method has a faster running speed and greater space efficiency.Our algorithms avoid traversal and compress the time complexities of matching a consumer with a stage-station and updating the storage information to O(logM)and O(MlogG),where M is the number of stage-stations and G is that of the platform’s stock-keeping units.Simulation comparisons of our algorithms with the current methods of CGB platforms show that our approaches can effectively reduce delivery costs.An interesting observation of the simula-tions is worthy of note:Increasing G may incur higher costs since it makes inventories more dispersed and delivery prob-lems more complicated. 展开更多
关键词 spatial matching dynamic arrival platform business community group buying hierarchy algorithm
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戴震著述书目补正 被引量:5
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作者 杨应芹 《江淮论坛》 CSSCI 1994年第2期72-80,共9页
关键词 《水经注》 戴震 戴氏 段玉裁 书目 《算经十书》 孔继涵 遗书 《汉学师承记》 目录
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徽商的物质文化生活及其对徽商商业发展的影响 被引量:1
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作者 孙晶 《安徽史学》 1999年第1期37-39,共3页
本文从徽商在生产、生活中对科技的利用、他们的衣食住行以及精神文化用品的生产与经营入手,论述徽商的物质文化生活,以证明它们既为徽商的商业发展提供了基本广泛的前提,同时它们也在消极和限制的意义上阻碍了徽商商业的发展。一、... 本文从徽商在生产、生活中对科技的利用、他们的衣食住行以及精神文化用品的生产与经营入手,论述徽商的物质文化生活,以证明它们既为徽商的商业发展提供了基本广泛的前提,同时它们也在消极和限制的意义上阻碍了徽商商业的发展。一、徽商与徽州科技据洪璞对《四库总目提... 展开更多
关键词 徽商 商业发展 物质文化 徽州盐商 奢侈性消费 《算法统宗》 振兴文教 家庭手工业 棉纺织业 明清时期
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段著《东原年谱》疑误考 被引量:5
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作者 杨应芹 《安徽史学》 北大核心 1994年第3期37-41,共5页
段著《东原年谱》疑误考杨应芹段玉裁《戴东原先生年谱》(下简称《年谱》),作于嘉庆甲子(1814年)或前一年。该谱以治学为中心,记述戴震一生著述与交游,内容丰赡,材料翔实,是后世了解研究戴震生平的必不可少的文献。而该谱... 段著《东原年谱》疑误考杨应芹段玉裁《戴东原先生年谱》(下简称《年谱》),作于嘉庆甲子(1814年)或前一年。该谱以治学为中心,记述戴震一生著述与交游,内容丰赡,材料翔实,是后世了解研究戴震生平的必不可少的文献。而该谱亦有疑误,其中有的已被人们发现并加... 展开更多
关键词 戴震 年谱 《行状》 段玉裁 紫阳书院 《五礼通考》 疑误 墓志铭 《算经十书》 孔继涵
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An ICPSO-RBFNN nonlinear inversion for electrical resistivity imaging 被引量:3
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作者 江沸菠 戴前伟 董莉 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第8期2129-2138,共10页
To improve the global search ability and imaging quality of electrical resistivity imaging(ERI) inversion, a two-stage learning ICPSO algorithm of radial basis function neural network(RBFNN) based on information crite... To improve the global search ability and imaging quality of electrical resistivity imaging(ERI) inversion, a two-stage learning ICPSO algorithm of radial basis function neural network(RBFNN) based on information criterion(IC) and particle swarm optimization(PSO) is presented. In the proposed method, IC is applied to obtain the hidden layer structure by calculating the optimal IC value automatically and PSO algorithm is used to optimize the centers and widths of the radial basis functions in the hidden layer. Meanwhile, impacts of different information criteria to the inversion results are compared, and an implementation of the proposed ICPSO algorithm is given. The optimized neural network has one hidden layer with 261 nodes selected by AKAIKE's information criterion(AIC) and it is trained on 32 data sets and tested on another 8 synthetic data sets. Two complex synthetic examples are used to verify the feasibility and effectiveness of the proposed method with two learning stages. The results show that the proposed method has better performance and higher imaging quality than three-layer and four-layer back propagation neural networks(BPNNs) and traditional least square(LS) inversion. 展开更多
关键词 electrical resistivity imaging nonlinear inversion information criterion(IC) radial basis function neural network(RBFNN) particle swarm optimization(PSO)
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丛书名用什么标点符号好?
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作者 李平明 《语文建设》 CSSCI 北大核心 1997年第11期31-32,共2页
丛书名用什么标点符号好?□李平明●●《新闻出版报》1997年4月9日刊出了《报纸编校质量评比差错认定细则》,其中关于“丛书的标点”是这样规定的:早年习惯上用书名号(如《万有文库》《四部丛刊》等)。现在的丛书最好使用引... 丛书名用什么标点符号好?□李平明●●《新闻出版报》1997年4月9日刊出了《报纸编校质量评比差错认定细则》,其中关于“丛书的标点”是这样规定的:早年习惯上用书名号(如《万有文库》《四部丛刊》等)。现在的丛书最好使用引号而不使用书名号。丛书名为一个词的... 展开更多
关键词 书名号 标点符号用法 《现代汉语词典》 《算经十书》 《四部丛刊》 《微波榭丛书》 标点法 加引号 《中国丛书综录》 《中国大百科全书》
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天南地北
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《财会月刊》 1996年第1期61-62,共2页
鼠年话“鼠” 动物学书上说,最早的老鼠是副鼠,它生活在5500万年前的北美洲。在本世纪70年代,我国在安徽潜山县6000多万年的地层中,发现了东方晓鼠的化石。近年来又在湖南衡东县发现了5000万年前钟健鼠的完整头骨。由此可以说,老鼠至少... 鼠年话“鼠” 动物学书上说,最早的老鼠是副鼠,它生活在5500万年前的北美洲。在本世纪70年代,我国在安徽潜山县6000多万年的地层中,发现了东方晓鼠的化石。近年来又在湖南衡东县发现了5000万年前钟健鼠的完整头骨。由此可以说,老鼠至少有4000——5000万年的历史。而人类只有200—300万年的历史。相比之下,老鼠确实名副其实的“老”了。 老鼠的种类很多,有犬鼠、旅鼠、负鼠、花鼠、鼯鼠、鼹鼠、麝鼠、竹鼠、跳鼠等;带“鼠”字的动物有黄鼠狼、松鼠,袋鼠等。 展开更多
关键词 电话簿 “字” 生长着 海南岛 命数法 《算经十书》 闰年 动物学 《数理精蕴》 属相
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An analysis method for correlation between catenary irregularities and pantograph-catenary contact force 被引量:1
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作者 秦勇 张媛 +2 位作者 程晓卿 贾利民 邢宗义 《Journal of Central South University》 SCIE EI CAS 2014年第8期3353-3360,共8页
Pantograph-catenary contact force provides the main basis for evaluation of current quality collection; however,the pantograph-catenary contact force is largely affected by the catenary irregularities.To analyze the c... Pantograph-catenary contact force provides the main basis for evaluation of current quality collection; however,the pantograph-catenary contact force is largely affected by the catenary irregularities.To analyze the correlated relationship between catenary irregularities and pantograph-catenary contact force,a method based on nonlinear auto-regressive with exogenous input(NARX) neural networks was developed.First,to collect the test data of catenary irregularities and contact force,the pantograph/catenary dynamics model was established and dynamic simulation was conducted using MATLAB/Simulink.Second,catenary irregularities were used as the input to NARX neural network and the contact force was determined as output of the NARX neural network,in which the neural network was trained by an improved training mechanism based on the regularization algorithm.The simulation results show that the testing error and correlation coefficient are 0.1100 and 0.8029,respectively,and the prediction accuracy is satisfactory.And the comparisons with other algorithms indicate the validity and superiority of the proposed approach. 展开更多
关键词 catenary irregularities pantograph-catenary contact force NARX neural networks correlation analysis
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Reliability-based design optimization for flexible mechanism with particle swarm optimization and advanced extremum response surface method 被引量:1
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作者 张春宜 宋鲁凯 +2 位作者 费成巍 郝广平 刘令君 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第8期2001-2007,共7页
To improve the computational efficiency of the reliability-based design optimization(RBDO) of flexible mechanism, particle swarm optimization-advanced extremum response surface method(PSO-AERSM) was proposed by integr... To improve the computational efficiency of the reliability-based design optimization(RBDO) of flexible mechanism, particle swarm optimization-advanced extremum response surface method(PSO-AERSM) was proposed by integrating particle swarm optimization(PSO) algorithm and advanced extremum response surface method(AERSM). Firstly, the AERSM was developed and its mathematical model was established based on artificial neural network, and the PSO algorithm was investigated. And then the RBDO model of flexible mechanism was presented based on AERSM and PSO. Finally, regarding cross-sectional area as design variable, the reliability optimization of flexible mechanism was implemented subject to reliability degree and uncertainties based on the proposed approach. The optimization results show that the cross-section sizes obviously reduce by 22.96 mm^2 while keeping reliability degree. Through the comparison of methods, it is demonstrated that the AERSM holds high computational efficiency while keeping computational precision for the RBDO of flexible mechanism, and PSO algorithm minimizes the response of the objective function. The efforts of this work provide a useful sight for the reliability optimization of flexible mechanism, and enrich and develop the reliability theory as well. 展开更多
关键词 reliability-based design optimization flexible robot manipulator artificial neural network particle swarm optimization advanced extremum response surface method
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Establishment of constitutive relationship model for 2519 aluminum alloy based on BP artificial neural network 被引量:8
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作者 林启权 彭大暑 朱远志 《Journal of Central South University of Technology》 EI 2005年第4期380-384,共5页
An isothermal compressive experiment using Gleeble 1500 thermal simulator was studied to acquire flow stress at different deformation temperatures, strains and strain rates. The artificial neural networks with the err... An isothermal compressive experiment using Gleeble 1500 thermal simulator was studied to acquire flow stress at different deformation temperatures, strains and strain rates. The artificial neural networks with the error back propagation(BP) algorithm was used to establish constitutive model of 2519 aluminum alloy based on the experiment data. The model results show that the systematical error is small(δ=3.3%) when the value of objective function is 0.2, the number of nodes in the hidden layer is 5 and the learning rate is 0.1. Flow stresses of the material under various thermodynamic conditions are predicted by the neural network model, and the predicted results correspond with the experimental results. A knowledge-based constitutive relation model is developed. 展开更多
关键词 2519 aluminum alloy BP algorithm neural network constitutive model
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A simple analytical method for deflation prediction of inflatable structures
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作者 李庆松 卿强 龚景海 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第6期2277-2286,共10页
The static performance of inflatable structures has been well studied and the dynamic deployment simulation has received much attention. However, very few studies focus on its deflation behavior. Although there are se... The static performance of inflatable structures has been well studied and the dynamic deployment simulation has received much attention. However, very few studies focus on its deflation behavior. Although there are several dynamic finite element algorithms that can be applied to the deflation simulation, their computation costs are expensive, especially for large scale structures. In this work, a simple method based on classic thermodynamics and the analytical relationship between air and membrane was proposed to efficiently analyze the air state variables under the condition of ventilation. Combined with failure analysis of static bearing capacity, a fast incremental analytical method was presented to predict both elastic and post wrinkling deflation process of inflatable structures. Comparisons between simplified analysis, dynamic finite element simulation, and a full-scale experimental test are presented and the suitability of this simple method for solving the air state and predicting the deflation behavior of inflatable structures is proved. 展开更多
关键词 inflatable structure DEFLATION WRINKLING SIMULATION control volume method
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Optimizing neural network forecast by immune algorithm 被引量:2
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作者 杨淑霞 李翔 +1 位作者 李宁 杨尚东 《Journal of Central South University of Technology》 EI 2006年第5期573-576,共4页
Considering multi-factor influence, a forecasting model was built. The structure of BP neural network was designed, and immune algorithm was applied to optimize its network structure and weight. After training the dat... Considering multi-factor influence, a forecasting model was built. The structure of BP neural network was designed, and immune algorithm was applied to optimize its network structure and weight. After training the data of power demand from the year 1980 to 2005 in China, a nonlinear network model was obtained on the relationship between power demand and the factors which had impacts on it, and thus the above proposed method was verified. Meanwhile, the results were compared to those of neural network optimized by genetic algorithm. The results show that this method is superior to neural network optimized by genetic algorithm and is one of the effective ways of time series forecast. 展开更多
关键词 neural network FORECAST immune algorithm OPTIMIZATION
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Clustering in mobile ad hoc network based on neural network 被引量:2
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作者 陈爱斌 蔡自兴 胡德文 《Journal of Central South University of Technology》 EI 2006年第6期699-702,共4页
An on-demand distributed clustering algorithm based on neural network was proposed. The system parameters and the combined weight for each node were computed, and cluster-heads were chosen using the weighted clusterin... An on-demand distributed clustering algorithm based on neural network was proposed. The system parameters and the combined weight for each node were computed, and cluster-heads were chosen using the weighted clustering algorithm, then a training set was created and a neural network was trained. In this algorithm, several system parameters were taken into account, such as the ideal node-degree, the transmission power, the mobility and the battery power of the nodes. The algorithm can be used directly to test whether a node is a cluster-head or not. Moreover, the clusters recreation can be speeded up. 展开更多
关键词 ad hoc network CLUSTERING neural network
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