多标签代价敏感分类集成学习算法

尽管多标签分类问题可以转换成一般多分类问题解决,但多标签代价敏感分类问题却很难转换成多类代价敏感分类问题.通过对多分类代价敏感学习算法扩展为多标签代价敏感学习算法时遇到的一些问题进行分析,提出了一种多标签代价敏感分类集成学习算法.算法的平均错分代价为误检标签代价和漏检标签代价之和,算法的流程类似于自适应提升（Adaptive boosting,AdaBoost）算法,其可以自动学习多个弱分类器来组合成强分类器,强分类器的平均错分代价将随着弱分类器增加而逐渐降低.详细分析了多标签代价敏感分类集成学习算法和多类代价敏感AdaBoost算法的区别,包括输出标签的依据和错分代价的含义.不同于通常的多类代价敏感分类问题,多标签代价敏感分类问题的错分代价要受到一定的限制,详细分析并给出了具体的限制条件.简化该算法得到了一种多标签AdaBoost算法和一种多类代价敏感AdaBoost算法.理论分析和实验结果均表明提出的多标签代价敏感分类集成学习算法是有效的,该算法能实现平均错分代价的最小化.特别地,对于不同类错分代价相差较大的多分类问题,该算法的效果明显好于已有的多类代价敏感AdaBoost算法.     

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。     

多分类问题代价敏感AdaBoost算法

针对目前多分类代价敏感分类问题在转换成二分类代价敏感分类问题存在的代价合并问题, 研究并构造出了可直接应用于多分类问题的代价敏感AdaBoost算法.算法具有与连续AdaBoost算法 类似的流程和误差估计. 当代价完全相等时, 该算法就变成了一种新的多分类的连续AdaBoost算法, 算法能够确保训练错误率随着训练的分类器的个数增加而降低, 但不直接要求各个分类器相互独立条件, 或者说独立性条件可以通过算法规则来保证, 但现有多分类连续AdaBoost算法的推导必须要求各个分类器相互独立. 实验数据表明, 算法可以真正实现分类结果偏向错分代价较小的类, 特别当每一类被错分成其他类的代价不平衡但平均代价相等时, 目前已有的多分类代价敏感学习算法会失效, 但新方法仍然能 实现最小的错分代价. 研究方法为进一步研究集成学习算法提供了一种新的思路, 得到了一种易操作并近似满足分类错误率最小的多标签分类问题的AdaBoost算法.     

一种新的多类支持向量机算法

提出了一种新的多类支持向量机算法OC-K-SVM.对k类分类问题,该方法构造了k个分类器,每一个分类器只对一类样本进行训练.使用Benchmark的数据集进行了初步的实验,实验结果验证了算法的有效性.     

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.     

以多类支持向量机为基础的小样本信息融合策略*

通过将多类支持向量机作为分类器,运用Dempster-Shafer理论等信息融合方法对分类结果进行融合,实现对小样本的分类。主要采用对多类支持向量机的分类结果进行求和后取最大值、Dempster-Shafer理论以及使用Dempster-Shafer理论后第二次使用支持向量机三种方式进行融合。由于支持向量机本身是适用于小样本的机器学习算法,Dempster-Shafer理论又可以较好地处理不确定性,两者的结合可以较好地处理小样本分类问题,并提高最终的分类精度。实验结果表明,提出的几种融合策略确实可以在小样     

基于多分类AdaBoost改进算法的TEE标准切面分类

针对超声图像样本冗余、不同标准切面因疾病导致的高度相似性、感兴趣区域定位不准确问题,提出一种结合特征袋（BOF）特征、主动学习方法和多分类AdaBoost改进算法的经食管超声心动图（TEE）标准切面分类方法。首先采用BOF方法对超声图像进行描述;然后采用主动学习方法选择对分类器最有价值的样本作为训练集;最后,在AdaBoost算法对弱分类器的迭代训练中,根据临时强分类器的分类情况调整样本更新规则,实现对多分类AdaBoost算法的改进和TEE标准切面的分类。在TEE数据集和三个UCI数据集上的实验表明,相比AdaBoost.SAMME算法、多分类支持向量机（SVM）算法、BP神经网络和AdaBoost.M2算法,所提算法在各个数据集上的G-mean指标、整体分类准确率和大多数类别分类准确率都有不同程度的提升,且比较难分的类别分类准确率提升最为显著。实验结果表明,在包含类间相似样本的数据集上,分类器的性能有显著提升。     

Multi-Class Learning by Smoothed Boosting

AdaBoost.OC has been shown to be an effective method in boosting “weak” binary classifiers for multi-class learning. It employs the Error-Correcting Output Code (ECOC) method to convert a multi-class learning problem into a set of binary classification problems, and applies the AdaBoost algorithm to solve them efficiently. One of the main drawbacks with the AdaBoost.OC algorithm is that it is sensitive to the noisy examples and tends to overfit training examples when they are noisy. In this paper, we propose a new boosting algorithm, named “MSmoothBoost”, which introduces a smoothing mechanism into the boosting procedure to explicitly address the overfitting problem with AdaBoost.OC. We proved the bounds for both the empirical training error and the marginal training error of the proposed boosting algorithm. Empirical studies with seven UCI datasets and one real-world application have indicated that the proposed boosting algorithm is more robust and effective than the AdaBoost.OC algorithm for multi-class learning. Editor: Nicolo Cesa-Bianchi     

支持向量机的缺陷及改进算法

传统支持向量机通常关注于数据分布的边缘样本,支持向量通常在这些边缘样本中产生。本文提出一个新的支持向量算法,该算法的支持向量从全局的数据分布中产生,其稀疏性能在大部分数据集上远远优于经典支持向量机算法。该算法在多类问题上的时间复杂度仅等价于原支持向量机算法的二值问题,解决了设计多类算法时变量数目庞大或者二值子分类器数目过多的问题。     

一种LDA与SVM混合的多类分类方法

针对决策有向无环图支持向量机（ＤＤＡＧＳＶＭ）需训练大量支持向量机（ＳＶＭ）和误差积累的问题,提出一种线性判别分析（ＬＤＡ）与ＳＶＭ 混合的多类分类算法．首先根据高维样本在低维空间中投影的特点,给出一种优化ＬＤＡ 分类阈值;然后以优化ＬＤＡ 对每个二类问题的分类误差作为类间线性可分度,对线性可分度较低的问题采用非线性ＳＶＭ 加以解决,并以分类误差作为对应二类问题的可分度;最后将可分度作为混合ＤＤＡＧ 分类器的决策依据．实验表明,与ＤＤＡＧＳＶＭ 相比,所提出算法在确保泛化精度的条件下具有更高的训练和分类速度．     

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.     

基于多示例学习框架的文本分类算法

针对有特殊结构的文本,传统的文本分类算法已经不能满足需求,为此提出一种基于多示例学习框架的文本分类算法。将每个文本当作一个示例包,文本中的标题和正文视为该包的两个示例;利用基于一类分类的多类分类支持向量机算法,将包映射到高维特征空间中;引入高斯核函数训练分类器,完成对无标记文本的分类预测。实验结果表明,该算法相较于传统的机器学习分类算法具有更高的分类精度,为具有特殊文本结构的文本挖掘领域研究提供了新的角度。     

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。     

改进的超球支持向量机算法

超球支持向量机算法用于解决多类别数据的分类问题。对超球重叠区域的数据正确分类对球结构支持向量机的分类性能至关重要。在分析这些样本点特点的基础上,提出了一种新的分类规则,使超球支持向量机算法的泛化性能高于现有的算法。实验结果表明该算法有效可行,提高了最小包围球分类器的分类精度。     

基于小波特征和多类支持向量机的病态语音识别方法

研究一种应用小波特征向量和多类支持向量机进行病态语音识别的方法,该方法基于连续小波变换提取语音特征向量,利用多类支持向量机进行病态语音分类。为了简化二分类支持向量机进行多类分类时所带来的计算复杂性,根据一类支持向量机分类思想提出一种多类分类算法。该算法能够使每一类样本都独立地获得一个决策函数,通过决策函数的最大值来判断样本所属的类。实验表明,在病态语音识别系统中,多类支持向量机与小波特征向量相结合具有良好的识别效果和应用价值。     

Fuzzy rules extraction from support vector machines for multi-class classification

This paper proposes a new method for fuzzy rule extraction from trained support vector machines (SVMs) for multi-class problems, named FREx_SVM. SVMs have been used in a variety of applications. However, they are considered “black box models,” where no interpretation about the input–output mapping is provided. Some methods to reduce this limitation have already been proposed, but they are restricted to binary classification problems and to the extraction of symbolic rules with intervals or functions in their antecedents. In order to improve the interpretability of the generated rules, this paper presents a new model for extracting fuzzy rules from a trained SVM. The proposed model is suited for classification in multi-class problems and includes a wrapper feature selection algorithm. It is evaluated in four benchmark databases, and results obtained demonstrate its capacity to generate a reduced set of interpretable fuzzy rules that explains both the classification database and the influence of each input variable on the determination of the final class.     

一种基于FCOWA-ER 的SVM多分类方法

支持向量机(SVM) 在处理多分类问题时, 需要综合利用多个二分类SVM, 以获得多分类判决结果. 传统多分类拓展方法使用的是SVM的硬输出, 在一定程度上造成了信息的丢失. 为了更加充分地利用信息, 提出一种基于证据推理-多属性决策方法的SVM多分类算法, 将多分类问题视为一个多属性决策问题, 使用证据推理-模糊谨慎有序加权平均方法(FCOWA-ER) 实现SVM的多分类判决. 实验结果表明, 所提出方法可以获得更高的分类精度.

     

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.     

基于超球支持向量机的多主题文本分类算法

针时标准支持向量机多分类算法不能解决多主题文本分类问题,提出了一种基于超球支持向量机的多主题文本分类算法.该算法用超球支持向量机训练得到每个超球,计算待分类文本到每个超球球心的距离,依据距离得到隶属度向量,最后根据隶属度向量判定该文本所属的主题.实验结果表明,该算法具有更好的召回率,准确率和F1值.