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α-Clusterable Sets

Published on Oct 03, 20113419 Views

Gerasimos S. Antzoulatos

In spite of the increasing interest into clustering research within the last decades, a unified clustering theory that is independent of a particular algorithm, or underlying the data structure and

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Clustering

Chapter list

α-Clusterable Sets00:00
Outline00:13
What is Clustering?01:01
Motivation01:42
Contribution02:15
Window Density Function (WDF)02:41
Example plots of WDF (1)03:34
Example plots of WDF (2)04:22
Basic Notions05:04
Example of α Clusterable Set05:57
Basic Notions06:46
α-Clustering Function Properties (1)07:23
α-Clustering Function Properties (2)07:36
α-Clustering Function Properties (3)07:54
α-Clustering Function Properties (4)08:12
Proposed Algorithm08:33
Steps of the algorithm "PSO α-Cl" (1)09:26
Steps of the algorithm "PSO α-Cl" (2)09:28
Steps of the algorithm "PSO α-Cl" (3)09:34
Steps of the algorithm "PSO α-Cl" (4)09:42
Steps of the algorithm "PSO α-Cl" (5)09:48
Steps of the algorithm "PSO α-Cl" (6)09:52
Steps of the algorithm "PSO α-Cl" (7)09:59
Steps of the algorithm "PSO α-Cl" (8)10:05
Step 1 of the algorithm10:17
Step 2: Perform the PSO algorithm to return the centre z of an α-Clusterable Set (1)10:22
Step 2: Perform the PSO algorithm to return the centre z of an α-Clusterable Set (2)11:34
Step 2: Perform the PSO algorithm to return the centre z of an α-Clusterable Set (3)11:45
Step 2: Perform the PSO algorithm to return the centre z of an α-Clusterable Set (4)11:54
Steps 3 and 4 (1)12:03
Steps 3 and 4 (2)12:08
Repeat the previous Steps 1-4 for the remaining dataset (1)12:25
Repeat the previous Steps 1-4 for the remaining dataset (2)12:35
Steps 2, 3 and 4 (1)12:37
Steps 2, 3 and 4 (2)12:39
After 16th iterations, the algorithm attains to detect the α-Clusterable Sets (1)12:40
After 16th iterations, the algorithm attains to detect the α-Clusterable Sets (2)12:53
Goals of the Experiments13:09
Entropy and Purity vs Window Size α (1)13:34
Entropy and Purity vs Window Size α (2)14:31
Entropy and Purity vs Window Size α (3)14:45
Performance of PSO α-Cl algorithm VS other clustering algorithms14:52
Scalability of the "PSO α -Cl" algorithm (1)15:56
Scalability of the "PSO α -Cl" algorithm (2)16:39
Concluding Remarks - Future Work17:01
Thank you for your attention...17:33