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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Yingzhen Yang Xinqi Chu Huang, T.S. |
| Copyright Year | 2013 |
| Description | Author affiliation: Dept. of Electr. & Comput. Eng., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA (Yingzhen Yang; Xinqi Chu; Huang, T.S.) |
| Abstract | Pair wise clustering methods, including the popular graph cut based approaches such as normalized cut, partition the data space into clusters by the pair wise affinity between data points. The success of pair wise clustering largely depends on the pair wise affinity function defined over data points coming from different clusters. Interpreting the pair wise affinity in a probabilistic framework, we build the relationship between pair wise clustering and unsupervised classification by learning the soft Nearest Neighbor (NN) classifier from unlabeled data, and search for the optimal partition of the data points by minimizing the generalization error of the learned classifier associated with the data partitions. Modeling the underlying distribution of the data by non-parametric kernel density estimation, the asymptotic generalization error of the unsupervised soft NN classification involves only the pair wise affinity between data points. Moreover, such error rate reduces to the well-known kernel form of graph cut in case of uniform data distribution, which provides another understanding of the kernel similarity used in Laplacian Eigenmaps [1] which also assumes uniform distribution. By minimizing the generalization error bound, we propose a new clustering algorithm. Our algorithm efficiently partition the data by inference in a pair wise MRF model. Experimental results demonstrate the effectiveness of our method. |
| Sponsorship | IEEE Syst., Man, Cybern. Soc. |
| Starting Page | 182 |
| Ending Page | 187 |
| File Size | 446053 |
| Page Count | 6 |
| File Format | |
| ISBN | 9780769551449 |
| DOI | 10.1109/ICMLA.2013.188 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2013-12-04 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Training Pairwise Clustering Clustering methods Nearest Neighbor Classifier Clustering algorithms Kernel Density Estimation Bandwidth Data models Labeling Kernel |
| Content Type | Text |
| Resource Type | Article |
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