基于混合核函数支持向量机的回归模型

基于支持向量机核函数的条件,将Sobolev Hilbert空间的再生核函数和Sig核函数进行有效的线性混合,给出一种新的支持向量机的混合核函数,并提出一种基于再生核的混合核函数支持向量机回归模型,该回归模型兼具了全局核函数与局部核函数的优点,且算法的复杂度被降低.仿真实验结果表明:最小二乘支持向量机的核函数采用基于再生核的混合核函数是可行的,回归的效果比单核函数可以更为细腻.     

线性规划支持向量机在非线性系统辨识中的应用

使用线性规划优化技术代替二次规划优化技术,通过最小化支持向量数来实现支持向量机算法.由于线性规划支持向量机的核函数不需要满足Mercer定理,因此,采用复高斯小波B样条小波作为支持向量机的核函数,建立了线性规划支持向量机模型,并将其用于非线性系统的辨识.仿真结果表明,线性规划支持向量机模型的辨识精度高于二次规划支持向量机模型.     

一种改进的快速支持向量机分类算法研究

快速的支持向量机分类算法--FCSVM对支持向量集采用变换的方式,用支持向量集的子集代替全部支持向量进行分类计算,在保证不损失分类精度的前提下使得分类速度较传统SVM算法有较大提高. 为了获得最小的支持向量子集,同时避免支持向量的移动,对FCSVM算法进行了改进.采用二分法优化分类函数中的支持向量数,给出了变换矩阵存在的充要条件及构造方法,减少了计算量.实验结果表明,改进的快速分类算法较大幅度地减少了计算复杂度,提高了分类速度,尤其在训练集规模庞大、支持向量数量较多的情况下,效果更加明显.     

不同准则下的线性支持向量机回归模型

由于标准的支持向量机算法需要解一个二次规划问题,当训练样本较多时,其运算速度一般很慢,为了提高运算速度,根据不同的准则,提出了基于核函数的3种支持向量回归模型.基于使残差的平方和为最小准测的模型转化为解线性方程组运算,只需要矩阵乘积与求逆运算;基于使残差的最大绝对值为最小准则和使残差的绝对值之和为最小准则的2个模型转化为线性规划问题,并给出了线性规划的对偶问题.实验结果表明了该方法的有效性,且计算量明显降低.通过实例,对高斯径向基核函数和多项式基核函数进行了比较与分析,高斯径向基核函数的精度比多项式基核函数高.对高斯径向基核函数和多项式基核函数的不同参数也进行了比较和分析.     

基于粗糙集的支持向量回归机混合算法

利用粗糙集(RS)对不精确数据的处理能力,生成分类数据的边界集,替代原始样本作为训练集,减少训练集与获取的支持向量的数量,然后使用支持向量机的最小序列优化(SMO)算法改进回归学习机的性能.将粗糙集与SMO回归算法结合提出一种混合函数回归算法RS-SMO-RA.在常用SMO回归算法SMO-RA基础上,扩增一段简短的生成边界样本的算法程序.仿真结果表明,算法RS-SMO-RA的效率更高,且能够改进学习结果的性能.     

新型非平行平面支持向量回归机及其应用

支持向量回归机(SVR)和孪生支持向量回归机(TSVR)是机器学习中的常用算法.受TSVR启发,针对SVR训练速度和预测精度问题,提出一种新型非平行平面支持向量回归机(NNHSVR).NNHSVR的优势如下:(1)NNHSVR模型构造的是两个较小规模的二次规划问题,最终求解得到2个非平行平面,训练速度较SVR快;(2)NNHS-VR在目标函数中加入调节参数u,对边界函数进行约束,使得模型对离群点更加鲁棒.人工数据集和UCI数据集上的实验表明:NNHSVR算法不仅有较好的泛化性能,而且训练速度快.将NNHSVR算法应用于传染病预测问题,取得了比传统传染病预测模型BP神经网络更好的效果.     

一种SAR图像空间域自适应滤波算法

针对合成孔径雷达(SAR)图像相干斑噪声抑制问题,提出了一种基于支持向量回归(SVR)分析的空间域自适应滤波方法.将SAR图像看作连续二维函数,利用SVR方法对其进行逼近.基于图像的逼近结果描述像素关联性,并基于关联性破坏程度对噪声进行类型分析,对不同类型的噪声采取确定性的抑制算法.为了保证精度,选择小波核函数构建支持向量回归机.实验结果表明该方法是有效的并对经典方法进行了改进.     

波束形成算法指向误差时的稳健性研究

为有效克服期望信号方向存在指向误差而导致的阵列流形向量失配的问题,提出了一种基于支持向量回归机的波束形成方法.该方法在分析线性约束最小方差波束形成器的基础上,将支持向量机的损失函数引入到线性约束最小方差波束形成器的最优化问题中,从而使基于结构风险最小化原理的支持向量回归机算法与波束形成算法相结合.通过MATLAB仿真实验,在没有失配的理想情况和期望信号存在方向向量失配的情况下,选取不同的支持向量机参数以及信噪比,分析对2种损失函数的基于支持向量机的波束形成算法.仿真实验结果表明,该算法在期望信号方向存在指向误差时,依然能够保持较好的系统输出信噪比,具有一定的稳健性.     

基于TSA-PSO-SVR算法在碳期货价格中的预测研究

针对支持向量回归(SVR)模型参数选择困难以及在碳期货价格预测中模型误差高的问题,提出一种基于改进粒子群算法-支持向量回归(TSA-PSO-SVR)的期货价格预测模型.通过改进粒子群算法惯性权重实现局部搜索和全局搜索能力的平衡,引入被囊群算法(TSA)对粒子群位置更新公式进行优化,利用改进的粒子群算法(TSA-PSO)找出最优参数有效解决支持向量回归参数选择盲目性的问题;将得到的最优参数应用于期货价格预测模型.选取福建碳交易市场的碳交易价格进行预测,与支持向量回归(SVR)、差分自回归移动平均模型(ARIMA)、长短期记忆模型(LSTM)模型作对比,实验结果表明TSA-PSO-SVR模型有效克服了高预测误差和参数选择随机性的问题,并具有较高的泛化能力.     

寻求线性规划问题初始基可行解的一种新算法

对线性规划问题基可行解的性质进行了研究，给出了一种求解线性规划问题初始基可行解的算法，该算法的时间复杂度是约束条件个数的线性函数     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with     

Journal of Donghua University ( English Edition) Contents of Volume 31

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