Bilal AlsallakhWolfgang Aigner

Silvia MikschHelwig Hauser

Radial Sets:

Interactive Visual Analysis

of Large Overlapping Sets

Euler Diagrams

• Limited scalability• Potentially overlaps• Drawability not guaranteed• Difficult to identify certain overlaps

• Overlaps are salient features• Analysis tasks often related to

finding and comparing them

2

Radial Sets

3

set-membershipdegree

[adapted from Wyatt‘s Set Visualizer]

The Overlaps

• Absolute size• Relative size• Deviation from marginal

independence• 3rd-degree overlaps

4

5

Overview First!

Details on Demand

Interactive Selection

• New selection (B) click

• Combine new and existing selection (A)• click +

• click +

• click +

6

Video

• Showing interactions with the user interface• http://www.youtube.com/watch?v=UcYRrPqC5A8

7

Reducing Overlaps Clutter

8

Scalability

9

35 sets 26 sets

6 Sets 7 Sets 11 Sets

Limitations

10

• Containment relations unsupported• Visual complexity• Histogram bars• Centered => no baseline• Radial Arrangement

Applications

• Survey data• Multi-label classifications• Comparing different classifiers

11

Conclusion

• New metaphor• Aggregation-based• Highly-interactive• Handles about 30 sets• Visual complexity• Future work:• Analytics• Handling large sets

12

www.radialsets.org

Backup Slides

• Evaluation• Aggregations• Other Approachs• Ordering the Set Regions• Set-typed Data• Tasks related to Set typed Data• Set Regions - 3D Cues• Comparison with Parallel Sets

13

Evaluation

• Ongoing user study• 20 subjects by now• Answer questions related to the tasks T1 .. T7 (refer to the

paper)• Some features excluded (e.g. high-dgree overlaps, as they need

more time than available to explain).• Frist results highly positive!

• After 10 min. explanation, the metaphor was easy to understand

14

Aggregations

15

• Set elements into bars• Overlaps into links• Attribute values into color• Multiple bars into one bar

Other Approachs

16

Element-set Matrix / Overlap Matrixvs. Radial Sets

17

Set‘o‘grams vs. Radial Sets

18

Venn vs. Euler Diagarm

• A Venn diagram depicts all possible overlaps (incl. empty ones)• An Euler diagram depict actual (non-empty) overlaps only

19

Ordering the Set Regions

20

Set-typed Data

• Appear in different forms• Multiple rows• Boolean attributes• Multi-valued attributes

• Number of sets• Number of elements• Other data attributes

21

Tasks related to Set typed Data

• How do elements belong to the sets?• Which ones are exclusive to a set, or belong to k sets.

• How do set overlaps• Which sets exhibit more overlaps• Which elements belong to certain overlaps

• How is an attribute distributed?• in the sets or in selected subsets therefore• in the overlaps

22

Set Regions: 3D Cues

23

Comparison with Contingency Wheel++

• Contingency tables vs.set memberships• Different aggregation• Different semantics• New visual representations• Interactions for set operations• Overlap analysis view

• But share the basic idea

24

Comparison with Parallel Sets

• Parallel Sets• Designed for Categorical Data• Can be subdivided further• Handles a small number of categories

25

Eye/Hair Black Brown Red Blond

Brown 68 119 29 7

Blue 20 84 17 94

Hazel 15 54 14 10

Green 5 29 14 14