基于距离排序的快速支持向量机分类算法

传统支持向量机算法由于时空复杂度较高,因此很难有效地处理大规模数据。为了降低支持向量机算法的时空复杂度,提出一种基于距离排序的快速支持向量机分类算法。该算法首先计算两类样本点的样本中心,然后对每一个样本计算它与另一类样本中心之间的距离,最后根据距离排序选择一定比例的小距离样本作为边界样本。由于边界样本集合很好地包含了支持向量,而且数目较原始样本集合少得多,因此算法可以在保证支持向量机学习精度的前提下,有效地缩短训练时间和节约存储空间。在UCI标准数据集和20-Newsgroups文本分类数据集上的实验说明算法较以往支持向量预选取算法而言可以更为快速准确地进行支持向量预选取。     

基于偏最小二乘的支持向量机多分类方法

该文提出了一种基于偏最小二乘（PLS）的支持向量机（SVM）多分类方法,该算法利用偏最小二乘思想对样本进行预处理,消除了样本属性之间的相关性,而且得到的综合属性与类信息的相关程度达到最大。通过实验可以看出,该方法不仅可以减少用支持向量机进行分类过程中的支持向量数目,而且当样本属性较多时,可以提高一定的识别率。     

一种稀疏最小二乘支持向量机

针对最小二乘支持向量机缺乏稀疏性的问题,提出了一种基于边界样本的最小二乘支持向量机算法。该算法利用中心距离比来选取支持度较大的边界样本作为训练样本,从而减少了支持向量的数目,提高了算法的速度。最后将该算法在4个UCI数据集上进行实验,结果表明：在几乎不损失精度的情况下,可以得到稀疏解,且算法的识别速度有了一定的提高。     

基于改进FCM聚类的BT-SVM多类分类算法

针对二叉树支持向量机在多类分类问题上存在的不足,利用粒子群算法对模糊C均值聚类算法进行了改进,在此基础上,结合二又树支持向量机,构建了偏二叉树多类分类算法.该方法在二叉树各节点处根据聚类中心所对应的样本构造学习样本集和最优分类超平面,保障了聚类精度,有效地提高了测试正确率.实验表明,本文提出BT-SVM多类分类算法的测试正确率要高于同类多类分类算法.     

基于二叉树多类支持向量机的文本分类研究

文本分类是文本数据挖掘的基础和核心,为解决在文本分类中二值支持向量机不能进行多类分类的问题,论文提出采用二叉树对多个二值支持向量机(SVM)子分类器进行组合,并运用聚类分析中类距离方法规范二叉树生成过程的基于二叉树的多类支持向量机(MSVM)分类算法。实验数据表明,相对于KNN 算法和朴素贝叶斯算法,基于二叉树的MSVM 算法在文本分类上更具优越性。该算法已应用于科技奖励信息检索系统中,取得了良好的效果。     

模糊支持向量机建筑物边缘特征提取方法研究

为解决边缘点与非边缘点过渡的模糊边缘,提出了一种模糊支持向量机的边缘检测算法。该算法选用图像3 3窗口4个方向的灰度梯度、梯度幅值和梯度方向组成6维特征向量,同时选用径向机核函数对样本特征向量升维到高维空间,在高维空间中构造最优分类超平面。同时,根据归一化后的梯度幅值来确定每个样本的隶属度,最后利用模糊支持向量机实现边缘检测。实验结果表明了模糊支持向量机边缘检测方法的可行性。     

一种改进的基于密度聚类模糊支持向量机

为了提高模糊支持向量机在数据集上的训练效率,提出一种改进的基于密度聚类（DBSCAN）的模糊支持向最机算法。运用DBSCAN算法对原始数据进行预处理,去除对分类贡献小的中心样本,用剩余的边缘样本集合完成模糊支持向量机的训练工作。实验表明,该方法形成的聚类边缘样本较好地保持了原样本的分布情况,在保证分类精度的同时,大大缩短了训练时间,提高了工作效率。     

一种基于中心型支持向量机的多类别分类算法

文章主要探讨了支持向量机在数据挖掘中的应用问题。在对中心型支持向量机的研究改进过程中,结合增量型支持向量机算法,将问题域扩展到多类别分类问题领域,从而设计了一个基于支持向量机技术处理样本均衡型和增量型的分类算法(theMBI-SVM)。在UCI数据库上进行了实验,结果证实该算法具有较高的稳定性、可行性和实用性。     

一种基于聚类核的半监督支持向量机分类方法

为了在标记样本数目有限时尽可能地提高支持向量机的分类精度,提出了一种基于聚类核的半监督支持向量机分类方法。该算法依据聚类假设,即属于同一类的样本点在聚类中被分为同一类的可能性较大的原则去对核函数进行构造。采用K-均值聚类算法对已有的标记样本和所有的无标记样本进行多次聚类,根据最终的聚类结果去构造聚类核函数,从而更好地反映样本间的相似程度,然后将其用于支持向量机的训练和分类。理论分析和计算机仿真结果表明,该方法充分利用了无标记样本信息,提高了支持向量机的分类精度。     

一种基于混合二叉树结构的多类支持向量机分类算法

为提高多类支持向量机的分类效率,提出了一种基于混合二叉树结构的多类支持向量机分类算法。该混合二叉树中的每个内部结点对应一个分割超平面,该超平面通过计算两个距离最远的类的质心而获得,即该超平面为连接两质心线段的垂直平分线。每个终端结点(即决策结点)对应一个支持向量机,它的训练集不再是质心而是两类(组)样本集。该分类模型通常是超平面和支持向量机的混合结构,其中超平面实现训练早期的近似划分,以提升分类速度;而支持向量机完成最终的精确分类,以保证分类精度。实验结果表明,相比于经典的多类支持向量机方法,该算法在保证分类精度的前提下,能够有效缩短计算时间,提升分类效率。     

A novel pattern recognition algorithm: Combining ART network with SVM to reconstruct a multi-class classifier

Based on the principle of one-against-one support vector machines (SVMs) multi-class classification algorithm, this paper proposes an extended SVMs method which couples adaptive resonance theory (ART) network to reconstruct a multi-class classifier. Different coupling strategies to reconstruct a multi-class classifier from binary SVM classifiers are compared with application to fault diagnosis of transmission line. Majority voting, a mixture matrix and self-organizing map (SOM) network are compared in reconstructing the global classification decision. In order to evaluate the method’s efficiency, one-against-all, decision directed acyclic graph (DDAG) and decision-tree (DT) algorithm based SVM are compared too. The comparison is done with simulations and the best method is validated with experimental data.     

Adaptive binary tree for fast SVM multiclass classification

This paper presents an adaptive binary tree (ABT) to reduce the test computational complexity of multiclass support vector machine (SVM). It achieves a fast classification by: (1) reducing the number of binary SVMs for one classification by using separating planes of some binary SVMs to discriminate other binary problems; (2) selecting the binary SVMs with the fewest average number of support vectors (SVs). The average number of SVs is proposed to denote the computational complexity to exclude one class. Compared with five well-known methods, experiments on many benchmark data sets demonstrate our method can speed up the test phase while remain the high accuracy of SVMs.     

An online incremental learning support vector machine for large-scale data

Support Vector Machines (SVMs) have gained outstanding generalization in many fields. However, standard SVM and most of modified SVMs are in essence batch learning, which make them unable to handle incremental learning or online learning well. Also, such SVMs are not able to handle large-scale data effectively because they are costly in terms of memory and computing consumption. In some situations, plenty of Support Vectors (SVs) are produced, which generally means a long testing time. In this paper, we propose an online incremental learning SVM for large data sets. The proposed method mainly consists of two components: the learning prototypes (LPs) and the learning Support Vectors (LSVs). LPs learn the prototypes and continuously adjust prototypes to the data concept. LSVs are to get a new SVM by combining learned prototypes with trained SVs. The proposed method has been compared with other popular SVM algorithms and experimental results demonstrate that the proposed algorithm is effective for incremental learning problems and large-scale problems.     

一种基于支持向量的二进制粒子群网络故障特征选择算法

网络故障诊断中大量无关或冗余的特征会降低诊断的精度,需要对初始特征进行选择。Wrapper模式特征选择方法分类算法计算量大,为了降低计算量,本文提出了基于支持向量的二进制粒子群（SVB-BPSO）的故障特征选择方法。该算法以SVM为分类器,首先通过对所有样本的SVM训练选出SV集,在封装的分类训练中仅使用SV集,然后采用异类支持向量之间的平均距离作为SVM的参数进行训练,最后根据分类结果,利用BPSO在特征空间中进行全局搜索选出最优特征集。在DARPA数据集上的实验表明本文提出的方法能够降低封装模式特征选择的计算量且获得了较高的分类精度以及较明显的降维效果。     

Sparse kernel SVMs via cutting-plane training

We explore an algorithm for training SVMs with Kernels that can represent the learned rule using arbitrary basis vectors, not just the support vectors (SVs) from the training set. This results in two benefits. First, the added flexibility makes it possible to find sparser solutions of good quality, substantially speeding-up prediction. Second, the improved sparsity can also make training of Kernel SVMs more efficient, especially for high-dimensional and sparse data (e.g. text classification). This has the potential to make training of Kernel SVMs tractable for large training sets, where conventional methods scale quadratically due to the linear growth of the number of SVs. In addition to a theoretical analysis of the algorithm, we also present an empirical evaluation.     

基于支持向量机的多分类增量学习算法

支持向量机被成功地应用在分类和回归问题中，但是由于其需要求解二次规划，使得支持向量机在求解大规模数据上具有一定的缺陷，尤其是对于多分类问题，现有的支持向量机算法具有太高的算法复杂性。该文提出一种基于支持向量机的增量学习算法，适合多分类问题，并将之用于解决实际问题。     

Proximal gradient method for huberized support vector machine

The support vector machine (SVM) has been used in a wide variety of classification problems. The original SVM uses the hinge loss function, which is non-differentiable and makes the problem difficult to solve in particular for regularized SVMs, such as with \(\ell _1\)-regularization. This paper considers the Huberized SVM (HSVM), which uses a differentiable approximation of the hinge loss function. We first explore the use of the proximal gradient (PG) method to solving binary-class HSVM (B-HSVM) and then generalize it to multi-class HSVM (M-HSVM). Under strong convexity assumptions, we show that our algorithm converges linearly. In addition, we give a finite convergence result about the support of the solution, based on which we further accelerate the algorithm by a two-stage method. We present extensive numerical experiments on both synthetic and real datasets which demonstrate the superiority of our methods over some state-of-the-art methods for both binary- and multi-class SVMs.     

A new maximal-margin spherical-structured multi-class support vector machine

Support vector machines (SVMs), initially proposed for two-class classification problems, have been very successful in pattern recognition problems. For multi-class classification problems, the standard hyperplane-based SVMs are made by constructing and combining several maximal-margin hyperplanes, and each class of data is confined into a certain area constructed by those hyperplanes. Instead of using hyperplanes, hyperspheres that tightly enclosed the data of each class can be used. Since the class-specific hyperspheres are constructed for each class separately, the spherical-structured SVMs can be used to deal with the multi-class classification problem easily. In addition, the center and radius of the class-specific hypersphere characterize the distribution of examples from that class, and may be useful for dealing with imbalance problems. In this paper, we incorporate the concept of maximal margin into the spherical-structured SVMs. Besides, the proposed approach has the advantage of using a new parameter on controlling the number of support vectors. Experimental results show that the proposed method performs well on both artificial and benchmark datasets.     

一种支持向量机的快速分类算法

鉴于传统支持向量机分类过程的计算量和支持向量的个数成正比,为了提高分类决策的速度,提出一种约简支持向量的快速分类算法,该算法对原始的支持向量进行特定比例的模糊均值聚类操作,按照分类误差最小的原则构建最小线性二乘回归模型,求解新的支持向量系数和决策函数的偏置.人造数据集和标准数据集上的实验表明,约简50%支持向量后,可以在保持分类精度在无统计意义的明显损失的前提下,使得分类速度提高50%.