Visualizing Sets of Partial Rankings
author:
Antti Ukkonen,
Helsinki University of Technology
Description
Partial rankings are totally ordered subsets of a set of items. They arise in different applications, such as clickstream analysis and collaborative filtering, but can be difficult to analyze with traditional data analysis techniques as they are combinatorial structures. We propose a method for creating scatterplots of sets of partial rankings by first representing them in a high-dimensional space and then applying known dimensionality reduction methods. We compare different approaches by using quantitative measures and demonstrate the methods on real data sets from different application domains. Despite their simplicity the proposed methods can produce useful visualizations that are easy to interpret.
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| Slides | |
| 0:00 | Visualizing sets of partial rankings |
| 0:14 | Motivating example pt 1 |
| 0:43 | Motivating example pt 2 |
| 1:38 | Problem overview pt 1 |
| 2:58 | Problem overview pt 2 |
| 4:21 | Basic approach |
| 5:02 | Rest of the talk |
| 5:16 | Example: microarray data |
| 6:09 | Example: clickstreams pt 1 |
| 6:41 | Some problems |
| 7:22 | Proposal for a mapping f |
| 8:18 | Hypersphere representation pt 1 |
| 8:36 | Hypersphere representation pt 2 |
| 9:16 | Example visualizations |
| 10:52 | Quality of a visualization pt 1 |
| 12:23 | Quality of a visualization pt 2 |
| 13:14 | Example: clickstreams pt 2 |
| 13:48 | Example: clickstreams pt 3 |
| 14:23 | Conclusion |
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