visualization of clusters with a density-based similarity measure rebecca nugent department of...
Post on 21-Dec-2015
215 views
TRANSCRIPT
![Page 1: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/1.jpg)
Visualization of Clusters with a Density-Based Similarity Measure
Rebecca NugentDepartment of Statistics,
Carnegie Mellon UniversityJune 9, 2007
Joint with: Werner Stuetzle (U. of Washington Statistics) Xiaoyi Fei (CMU Computer Science)
![Page 2: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/2.jpg)
6/09/07 2
Outline
![Page 3: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/3.jpg)
Introduction & Motivation
![Page 4: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/4.jpg)
6/09/07 4
Introduction & Motivation
![Page 5: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/5.jpg)
6/09/07 5
Introduction & Motivation: Applications
![Page 6: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/6.jpg)
6/09/07 6
![Page 7: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/7.jpg)
6/09/07 7
![Page 8: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/8.jpg)
6/09/07 8
Introduction & Motivation: Applications
![Page 9: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/9.jpg)
![Page 10: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/10.jpg)
Clustering Approaches
![Page 11: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/11.jpg)
6/09/07 11
Clustering Approaches: Algorithmic
![Page 12: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/12.jpg)
6/09/07 12
Clustering Approaches: Statistical/Parametric
![Page 13: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/13.jpg)
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.QuickTime™ and a
TIFF (LZW) decompressorare needed to see this picture.
![Page 14: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/14.jpg)
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
![Page 15: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/15.jpg)
6/09/07 15
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
![Page 16: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/16.jpg)
6/09/07 16
Clustering Approaches: Statistical/Nonparametric
![Page 17: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/17.jpg)
6/09/07 17
Clustering Approaches: Statistical/Nonparametric
![Page 18: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/18.jpg)
![Page 19: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/19.jpg)
Closer Look at Single Linkage
![Page 20: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/20.jpg)
6/09/07 20
Single Linkage Clustering
![Page 21: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/21.jpg)
6/09/07 21
Single Linkage Clustering
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture. QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
![Page 22: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/22.jpg)
6/09/07 22
Single Linkage Clustering
![Page 23: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/23.jpg)
6/09/07 23
Single Linkage Clustering: Minimum Density Distance
![Page 24: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/24.jpg)
6/09/07 24
Single Linkage Clustering: 1-nn Density Estimate
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
![Page 25: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/25.jpg)
6/09/07 25
Single Linkage Clustering: Graph Cluster Tree
![Page 26: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/26.jpg)
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
![Page 27: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/27.jpg)
Generalized Single Linkage
![Page 28: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/28.jpg)
6/09/07 28
Generalized Single Linkage
![Page 29: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/29.jpg)
6/09/07 29
Olive Oil
![Page 30: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/30.jpg)
![Page 31: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/31.jpg)
6/09/07 31
In practice
![Page 32: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/32.jpg)
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
![Page 33: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/33.jpg)
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
![Page 34: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/34.jpg)
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (LZW) decompressor
are needed to see this picture.
![Page 35: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/35.jpg)
![Page 36: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/36.jpg)
![Page 37: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/37.jpg)
6/09/07 37
Comments/Future Work
![Page 38: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/38.jpg)
6/09/07 38
Acknowledgments
![Page 39: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/39.jpg)
Thank you
![Page 40: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/40.jpg)
![Page 41: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/41.jpg)
6/09/07 41
Bounding the Minimum
![Page 42: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/42.jpg)
-1.0
-0.5
0.0
0.5
1.0
Pt.1 Pt.2
Density
g.u.0
g.l.0
g.u.L
g.l.L
p((1-t)xi + txj))
Uncertainty
![Page 43: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/43.jpg)
6/09/07 43
Bounding the Minimum
![Page 44: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/44.jpg)
0.00
0.05
0.10
0.15
0.20
Pt.1 Pt.2
Density
![Page 45: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/45.jpg)
0.00
0.05
0.10
0.15
0.20
Pt.1 Pt.2
Density
![Page 46: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/46.jpg)
0.00
0.05
0.10
0.15
0.20
Pt.1 Pt.2
Density
![Page 47: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/47.jpg)
0.00
0.05
0.10
0.15
0.20
Pt.1 Pt.2
Density
![Page 48: Visualization of Clusters with a Density-Based Similarity Measure Rebecca Nugent Department of Statistics, Carnegie Mellon University June 9, 2007 Joint](https://reader038.vdocument.in/reader038/viewer/2022103123/56649d635503460f94a4693e/html5/thumbnails/48.jpg)
6/09/07 48
Bounding the Minimum