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A Gaussian Process Latent Variable Model for Subspace Clustering

机译:子空间聚类的高斯过程潜变量模型

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摘要

Effective feature representation is the key to success of machine learning applications. Recently, many feature learning models have been proposed. Among these models, the Gaussian process latent variable model (GPLVM) for nonlinear feature learning has received much attention because of its superior performance. However, most of the existing GPLVMs are mainly designed for classification and regression tasks, thus cannot be used in data clustering task. To address this issue and extend the application scope, this paper proposes a novel GPLVM for clustering (C-GPLVM). Specifically, by combining GPLVM with the subspace clustering method, our C-GPLVM can obtain more representative latent variable for clustering. Moreover, it can directly predict the new samples by introducing a back constraint in the model, thus being more suitable for big data learning tasks such as analysis of chaotic time series and so on. In the experiment, we compare it with the related GPLVMs and clustering algorithms. The experimental results show that the proposed model not only inherits the feature learning ability of GPLVM but also has superior clustering accuracy.
机译:有效的特征表示是机器学习应用程序成功的关键。最近,已经提出了许多特征学习模型。在这些模型中,由于其性能卓越,高斯过程潜在变量模型(GPLVM)为非线性特征学习而受到了很大的关注。但是,大多数现有的GPLVM主要用于分类和回归任务,因此不能用于数据聚类任务。要解决此问题并扩展应用范围,本文提出了一种用于聚类的新型GPLVM(C-GPLVM)。具体地,通过将​​GPLVM与子空间聚类方法组合,我们的C-GPLVM可以获得更多代表性的潜在变量进行聚类。此外,它可以通过在模型中引入反向约束来直接预测新样本,从而更适合于大数据学习任务,例如混沌时间序列的分析等。在实验中,我们将其与相关的GPLVM和聚类算法进行比较。实验结果表明,该模型不仅继承了GPLVM的特征学习能力,还具有卓越的聚类精度。

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