Semi-supervised graph clustering: a kernel approach

Semi-supervised clustering algorithms aim to improve clustering results using limited supervision. The supervision is generally given as pairwise constraints; such constraints are natural for graphs, yet most semi-supervised clustering algorithms are designed for data represented as vectors. In this paper, we unify vector-based and graph-based approaches. We first show that a recently-proposed objective function for semi-supervised clustering based on Hidden Markov Random Fields, with squared Euclidean distance and a certain class of constraint penalty functions, can be expressed as a special case of the weighted kernel k-means objective (Dhillon et al., in Proceedings of the 10th International Conference on Knowledge Discovery and Data Mining, 2004a). A recent theoretical connection between weighted kernel k-means and several graph clustering objectives enables us to perform semi-supervised clustering of data given either as vectors or as a graph. For graph data, this result leads to algorithms for optimizing several new semi-supervised graph clustering objectives. For vector data, the kernel approach also enables us to find clusters with non-linear boundaries in the input data space. Furthermore, we show that recent work on spectral learning (Kamvar et al., in Proceedings of the 17th International Joint Conference on Artificial Intelligence, 2003) may be viewed as a special case of our formulation. We empirically show that our algorithm is able to outperform current state-of-the-art semi-supervised algorithms on both vector-based and graph-based data sets.     

Learning model order from labeled and unlabeled data for partially supervised classification, with application to word sense disambiguation

Previous partially supervised classification methods can partition unlabeled data into positive examples and negative examples for a given class by learning from positive labeled examples and unlabeled examples, but they cannot further group the negative examples into meaningful clusters even if there are many different classes in the negative examples. Here we proposed an automatic method to obtain a natural partitioning of mixed data (labeled data + unlabeled data) by maximizing a stability criterion defined on classification results from an extended label propagation algorithm over all the possible values of model order (or the number of classes) in mixed data. Our experimental results on benchmark corpora for word sense disambiguation task indicate that this model order identification algorithm with the extended label propagation algorithm as the base classifier outperforms SVM, a one-class partially supervised classification algorithm, and the model order identification algorithm with semi-supervised k-means clustering as the base classifier when labeled data is incomplete.     

改进退化的半监督模糊聚类应用于MR图像分割

半监督聚类利用少量标记样本的辅助信息来引导对大量无标记数据的分割。Pedrycz提出的半监督FCM(sFCM)算法应用标记样本的类别归属信息来辅助聚类,其在标记点过于稀少时会退化为无监督FCM算法且收敛较慢,难以应用于多数实际问题。在半监督FCM的基础上提出一种改进退化的半监督FCM算法(dsFCM),通过在sFCM迭代过程中设置监督成分的比重,来加大标记样本点对聚类中心的影响力,在聚类精度、速度和鲁棒性上均比半监督FCM有所提高,解决了标记点稀疏时的退化问题,在医学图像分割上取得了良好应用。     

一种半监督K均值多关系数据聚类算法

提出了一种半监督K均值多关系数据聚类算法.该算法在K均值聚类算法的基础上扩展了其初始类簇的选择方法和对象相似性度量方法,以用于多关系数据的半监督学习.为了获取高性能,该算法在聚类过程中充分利用了标记数据、对象属性及各种关系信息.多关系数据库Movie上的实验结果验证了该算法的有效性.     

半监督鲁棒联机聚类算法

将监督信息引入到聚类算法中去,在先前提出的鲁棒联机聚类算法(ROC)的基础上,通过引入以样本类标号形式给出的监督信息,提出了一种半监督的鲁棒联机聚类算法(Semi-ROC).在算法的聚类精度和鲁棒性能上,算法Semi-ROC比ROC和AddC有着更好的性能,在人工数据集和UCI标准数据集上的实验结果表明,Semi-ROC能有效地利用少量的监督信息来提高算法的聚类性能,得到较优的结果.另外,在添加噪声的情况下,算法Semi-ROC比原始的联机聚类算法AddC和ROC都更加鲁棒.     

自适应主动半监督学习方法

主动学习从大量无标记样本中挑选样本交给专家标记.现有的批抽样主动学习算法主要受3个限制：（1）一些主动学习方法基于单选择准则或对数据、模型设定假设,这类方法很难找到既有不确定性又有代表性的未标记样本;（2）现有批抽样主动学习方法的性能很大程度上依赖于样本之间相似性度量的准确性,例如预定义函数或差异性衡量;（3）噪声标签问题一直影响批抽样主动学习算法的性能.提出一种基于深度学习批抽样的主动学习方法.通过深度神经网络生成标记和未标记样本的学习表示和采用标签循环模式,使得标记样本与未标记样本建立联系,再回到相同标签的标记样本.这样同时考虑了样本的不确定性和代表性,并且算法对噪声标签具有鲁棒性.在提出的批抽样主动学习方法中,算法使用的子模块函数确保选择的样本集合具有多样性.此外,自适应参数的优化,使得主动学习算法可以自动平衡样本的不确定性和代表性.将提出的主动学习方法应用到半监督分类和半监督聚类中,实验结果表明,所提出的主动学习方法的性能优于现有的一些先进的方法.     

半监督学习研究的述评

监督学习需要利用大量的标记样本训练模型,但实际应用中,标记样本的采集费时费力。无监督学习不使用先验信息,但模型准确性难以保证。半监督学习突破了传统方法只考虑一种样本类型的局限,能够挖掘大量无标签数据隐藏的信息,辅助少量的标记样本进行训练,成为机器学习的研究热点。通过对半监督学习研究的总趋势以及具体研究内容进行详细的梳理与总结,分别从半监督聚类、分类、回归与降维以及非平衡数据分类和减少噪声数据共六个方面进行综述,发现半监督方法众多,但存在以下不足：（1）部分新提出的方法虽然有效,但仅通过特定数据集进行了实证,缺少一定的理论证明;（2）复杂数据下构建的半监督模型参数较多,结果不稳定且缺乏参数选取的指导经验;（3）监督信息多采用样本标签或成对约束形式,对混合约束的半监督学习需要进一步研究;（4）对半监督回归的研究匮乏,对如何利用连续变量的监督信息研究甚少。     

一种改进的半监督聚类入侵检测算法

针对网络环境,提出了一种新的半监督聚类入侵检测算法,将主动学习策略应用于半监督聚类过程中,利用少量的标记数据,生成用于初始化算法的种子聚类,通过辅助聚类过程,根据网络数据的特点,检测已知和未知攻击。主动学习策略查询网络中未标记数据与标记数据的约束关系,对标记数据可以快速获得k个不相交的非空近邻集,经检测结果证明,改进了算法的性能,且表明了算法的可行性及有效性。     

有约束的半监督聚类方法

在数据挖掘领域的很多实际应用中,获取大量的无标签样本非常容易,而获取有标签的样本通常需要付出较大的代价,并且有时不可能得到所有的数据的标签,半监督聚类就是使用一小部分的标签数据对无标签数据的聚类过程进行指导。提出了一种新的半监督聚类算法,它利用标签数据提供的信息来初步确定数据的相似性和不相似性标准,并在聚类过程中对其进行自动调整,利用它们对聚类过程进行约束和指导。通过在标准数据集高斯数据集上的测试,该算法相对于无指导聚类来说有更高的精度和更快的速度。     

An efficient hybrid approach based on PSO, ACO and k-means for cluster analysis

Clustering is a popular data analysis and data mining technique. A popular technique for clustering is based on k-means such that the data is partitioned into K clusters. However, the k-means algorithm highly depends on the initial state and converges to local optimum solution. This paper presents a new hybrid evolutionary algorithm to solve nonlinear partitional clustering problem. The proposed hybrid evolutionary algorithm is the combination of FAPSO (fuzzy adaptive particle swarm optimization), ACO (ant colony optimization) and k-means algorithms, called FAPSO-ACO–K, which can find better cluster partition. The performance of the proposed algorithm is evaluated through several benchmark data sets. The simulation results show that the performance of the proposed algorithm is better than other algorithms such as PSO, ACO, simulated annealing (SA), combination of PSO and SA (PSO–SA), combination of ACO and SA (ACO–SA), combination of PSO and ACO (PSO–ACO), genetic algorithm (GA), Tabu search (TS), honey bee mating optimization (HBMO) and k-means for partitional clustering problem.