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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