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Automatically Determining the Number of Clusters in Unlabeled Data Sets

Automatically Determining the Number of Clusters in Unlabeled Data Sets. Presenter : Lin, Shu -Han Authors : Liang Wang, Christopher Leckie , Kotagiri Ramamohanarao , and James Bezdek. IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING (TKD), 2009. Outline. Motivation Objective

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Automatically Determining the Number of Clusters in Unlabeled Data Sets

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  1. Automatically Determining the Number ofClusters in Unlabeled Data Sets Presenter : Lin, Shu-Han Authors : Liang Wang, Christopher Leckie, KotagiriRamamohanarao, and James Bezdek IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING(TKD), 2009

  2. Outline • Motivation • Objective • Methodology • Experiments • Conclusion • Comments

  3. Motivation “reordered dissimilarity image” (RDI) Howtoautomaticallyestimatethenumberofclustersinunlabeleddataset?

  4. Objectives ExtractDarkBlock 4

  5. Methodology– VAT VAT 5

  6. Methodology– VAT VAT 6

  7. Methodology– DBE 1 2 3 4 7

  8. Methodology– DBE1.Dissimilaritytransformationandimagesegmentation f(t) Graythreshfunction(Matlab):σ 8 after before

  9. Methodology– DBE2. Directionalmorphologicalfilteringofthebinaryimage a=2% a=1% Symmetric: along horizontal and vertical directions Linear: along the same direction 9

  10. Methodology– DBE3. Distancetransformanddiagonalprojectionoffilteredimage Nearest non-zero pixel 10

  11. Methodology– DBE4. Detection of major peaks and valleys in the projectionsignal Smooth(parameter:a) Major“peaks/valleys”(parameter:a) 11

  12. Experiments – Syntheticdatasets 12

  13. Experiments– ComparewithCCE 13

  14. Experiments – ComparewithCCE Syntheticdatasets Realdatasets 14

  15. Conclusions • The most method prefer “larger” rather than “smaller” clusters • The DBE • (Nearly) Automatically estimating the number of clusters • Just one easy-to-set parameter: a

  16. Comments • Advantage • An visual assessment of cluster tendency (VAT) • Combine the cluster analysis problem with the image processing tech. • Drawback • … • Application • …

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