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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Krone, M. Klawonn, F. Jayaram, B. |
| Copyright Year | 2013 |
| Description | Author affiliation: Indian Inst. of Technol., Hyderabad, Hyderabad, India (Jayaram, B.) || Ostfalia Univ. of Appl. Sci., Wolfenbuettel, Germany (Krone, M.; Klawonn, F.) |
| Abstract | The curse of dimensionality, which refers to both the combinatorial explosion in dimensions and the concentration of distances or norms in high dimensions, affects most of the clustering techniques. Recent studies on the concentration of norms suggest the use of a correlation measure instead of distances to more effectively judge (dis)similarity in high dimensions. In this work, based on these observations, we propose a robust rank correlation based clustering method. Specifically, we employ the recently proposed fuzzy gamma rank correlation measure. We show that this intuitively simple algorithm has the following advantages: (i) It requires very few parameters to be set, (ii) the number of clusters need not be apriori known, (iii) while there is an indirect dependence on the underlying distance measure, its makes use of both global and local information, (iv) it can be robust to noise depending on the correlation measure employed and, (v) as it is shown, performs well with high dimensional data. We illustrate the algorithm on some datasets where the traditional Fuzzy C-Means algorithm is known to fail. |
| Starting Page | 1 |
| Ending Page | 8 |
| File Size | 562213 |
| Page Count | 8 |
| File Format | |
| ISSN | 10987584 |
| e-ISBN | 9781479900220 |
| DOI | 10.1109/FUZZ-IEEE.2013.6622463 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2013-07-07 |
| Publisher Place | India |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Correlation Clustering algorithms Robustness Vectors Noise measurement Partitioning algorithms Fuzzy C-Means Fuzzy Gamma Rank Correlation Coefficient Clustering High-dimensional Data |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Artificial Intelligence Theoretical Computer Science Software |
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