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6th IARP -TC-15 Workshop on Graphbased Representations in Pattern Recognition
Pascal

Szemerédi's Regularity Lemma and PairwiseClustering

author: Marcello Pelillo, University Ca Foscari
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Slides
0:00 Szemer´edi’s Regularity Lemma and Pairwise Clustering
1:48 Talk’s Outline
2:51 Talk’s Outline (2)
2:52 Edge Density
3:59 Regularity
5:28 Equitable Partitions
7:18 Szemer´edi’s Lemma
9:19 Talk’s Outline
9:53 Algorithmic Issues
10:55 Checking Regularity
11:45 Index of Partition
12:37 Refining a Non-regular Partition
14:24 Alon et al.s Algorithm: Initialization
15:09 Alon et al.’s Algorithm: Main Loop
16:40 Talk’s Outline
16:41 Reduced Graphs
18:57 Expanded Graphs
20:00 The Key Lemma
22:04 Using the Key Lemma
23:06 Using Weighted Graphs
23:09 Application to Pairwise Clustering
24:27 Using Weighted Graphs
25:40 Dealing with Intra-class Similarities
26:44 Talk’s Outline
26:46 Implementation Details
28:48 Experiments on UCI Datasets
29:15 Results on UCI Datasets
31:26 Image Segmentation
31:55 Image Segmentation (2)
32:29 Segmentation Results
33:20 Conclusions
33:52 Future Work

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