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Optimization and inference in machine learning and physics Workshop

Sequential Superparamagnetic Clustering as Network Self-organisation Process

author: Thomas Ott, UNI - ETH

Description

Clustering methods are useful tools for the unsupervised classification and analysis of the elements of a set or scene, e.g., a visual or auditory scene. Such methods can be seen as an integral part of cognition-like operations performed by artificial systems. The problematic is that usually no a priori information is available about the structure, the size or the number of classes. Therefore, unbiased methods that are able to provide a 'natural' classification are of interest. As it has been shown (Blatt, Wiseman, Domany), superparamagnetic clustering (SC) is a promising algorithm that comes close to an ideal unbiased method. SC gives the option of choosing different classes on different resolution levels. It, however, does not directly provide an intrinsic criterion for the choice of the 'most natural' levels, i.e. for finding the most natural classes.

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Slides
0:02 Sequential Superparamagnetic Clustering
0:55 Point out
2:28 Clustering
2:44 Drawing
5:44 Sheme
6:53 Drawing
7:05 Sheme
7:15 Superparamagnetic Clustering
10:01 Superparamagnetic Clustering (2)
14:18 Superparamagnetic Clustering: Example
14:36 Positive/Negative
15:22 Superparamagnetic Clustering: Example
16:14 Positive/Negative
16:49 Ultimate question
18:43 Failure
19:33 Superparamagnetic Clustering: Example
19:48 Failure
20:09 Ultimate question
21:24 Hebbian-like learning rule
22:43 Connections within clusters
22:53 Connections within clusters
23:21 Hebbian-like learning rule
23:42 Connections within clusters
24:50 Sequential superparamagnetic clustering SSC
25:16 Hebbian-like learning rule
25:49 Connections within clusters
25:58 Dendrogram
27:19 Sequential superparamagnetic clustering SSC (2)
27:40 Successful application of SSC

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