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Tracing Tuples Across Dimensions A Comparison of Scatterplots and Parallel Coordinate Plots Xiaole Kuang (Master student, NUS) Haimo Zhang (PhD student, NUS) Shengdong (Shen) Zhao (Faculty member, NUS) Michael J. McGuffin 1 (Faculty member, École de technologie supérieure)
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2 The Last Talk of The Last Session of The Last Day! Welcome to
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3 of Vienna Singapore 9697 km
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4 Vignette (CHI ‘12)SandCanvas (CHI ‘11) MOGCLASS (CHI ‘11)Magic Cards (CHI ‘09) earPod (CHI ‘07) Zone & Polygon Menu (CHI ‘06) Elastic Hierarchy (InfoVis ‘05) Simple Marking Menu (UIST ‘04) Systems, Tools, Interaction Techniques
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Visualization Techniques for Multi-Variate Data Scatter Plot (SCP) Parallel Coordinate Plot (PCP) Scatter Plot Matrix (SPLOM) 5
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Why PCP vs. SCP? Both techniques are popular! Yet, we know very little about their comparative advantages. 6 Viau et al., TVGC10 Yuan et al., TVGC09 Claessen & van Wijk, TVGC11 We need more systematic evaluations between PCP & SCP! We need more systematic evaluations between PCP & SCP!
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Basics of Evaluation Research question What’s the comparative advantages between PCP & SCP for certain tasks? Task Independent variables Dependent variables 7
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Basics of Evaluation Research question What’s the comparative advantages between PCP & SCP for certain tasks? Task Independent variables Dependent variables 8
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Basic Analytical Tasks 9 serves as a subtask for many other tasks Amar et al.: Low-level components of analytic activity in information visualization. InfoVis05, 111–117. (Holten & van Wijk, EuroVis10) (Li et al., InfoVis10) PCP is inferior than SCP
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Value Retrieval Task Definition: Given the numerical value of one attribute of a data tuple, find the numerical value of another attribute of the same data tuple. 10 Multi-Variate Data Tuple (X 1, X 2, X 3, …., X n ) a?
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Basics of Evaluation Research question What’s the comparative advantages between PCP & SCP for certain tasks? Task Independent variables Dependent variables 11
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Independent Variables 12 Technique Parallel Coordinate Plot (PCP) Scatter Plot (SCP) X2X2 X1X1 X3X3 X2X2 X4X4 X3X3 X1X1 X2X2 X3X3 X2X2 X4X4 X2X2 X2X2 X1X1 X2X2 X3X3 X4X4 X3X3 SCP-rotated (Qu et al., TVCG07) SCP-common (SPLOM ) SCP-staircase (Viau et al., TVCG10)
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Independent Variable – 4 Technique 13 PCP SCP-common (i.e., SPLOM) SCP-rotated (i.e., Qu et al., TVCG07) SCP-staircase (i.e., Viau et al., TVCG10)
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Additional Independent Variables 14 X2X2 X1X1 X3X3 X2X2 X4X4 X3X3 Number of Dimensions X2X2 X1X1 X3X3 X2X2 X4X4 X3X3 X5X5 X4X4 Data Density X2X2 X1X1 X3X3 X2X2 X4X4 X3X3
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Independent Variables Technique Dimension Density 15
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Dependent Variables Completion time Error distance 16
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Experiment Demo 17
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Experiment 1 Design 12 participants × 4 visualization techniques (PCP, SCP-common, SCP-rotate, SCP-standard) × 3 levels of data dimension (2D, 4D, 6D) × 3 levels of data density (10 tuples, 20 tuples, 30 tuples) × 3 repetitions of trials = 1296 trials in total. 18
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Seconds SCP-rotate SCP-common SCP-staircase PCP Overall Results 19 Best Good Poor Completion Time Error Distance SCP-rotate SCP-common SCP-staircase PCP Poor Good Poorer
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1 st Take-away Lesson 20 PCP SCP-common (i.e., SPLOM) SCP-rotated (i.e., Qu et al., TVCG07) SCP-staircase (i.e., Viau et al., TVCG10)
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PCP vs. SCP-common 21
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PCP vs. SCP-common 22 Density Performance Difference
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PCP vs. SCP-common 23 Density Performance Switch Order
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Important Observation There seems to be a Density & Number of Dimension Trade-off between PCP & SCP-common! 24
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Experiment 2 × 18 participants × 2 techniques (PCP, SCP-common) × 3 dimensions (4D, 6D, 8D) [2D, 4D, 6D in Exp. 1] × 3 densities (20 tuples, 30 tuples, 40 tuples) [10, 20, 30 in Exp. 1] × 5 trials for each combination = 1620 trials in total. 25
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Results – Completion Time 26 Overall result for Exp. 2 SCP-common (15.41s) PCP (18.23s) Result in Exp. 1 SCP-common (12.02s) PCP (8.99s) faster Trade-off between number of dimensions & data density Dimension Density
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Results – Error Distance 27 Trade-off between number of dimensions & data density Dimension Density
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Take-away Lessons The value retrieval performance of PCP increases depending on dimensionality. The performance of SCP-common seems independent of dimensionality. Increasing density affects the performance of PCP more than it affects SCP-common. 28 Dimension Density
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Let’s Recap the Take Away- Messages and Ask Why 1) Both SCP-rotate and SCP-staircase are inferior for value retrieval task 29
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Let’s Recap the Take Away Messages 2) Performance trade-off between PCP & SCP-common for both dimensionalities and data density. PCP increases depending on dimensionality. SCP-common performance seems to be independent. 30
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Let’s Recap the Take Away Messages 31 10 tuples 40 tuples 2) Performance trade-off between PCP & SCP-common for both dimensionalities and data density. PCP increases depending on dimensionality. SCP-common performance seems to be independent. Increasing density affects the performance of PCP more than it affects SCP-common.
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Conclusion and Future Work Our study helps to understand the comparative advantages between PCP & SCP However, this is only a starting point, 32
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The Grand Vision Ideally, this problem can be solved by … 33 InfoVis evaluation package Results/ Recommendations Results/ Recommendations
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Acknowledgment This research is supported by: The National University of Singapore Academic Research Fund R-252-000-375-133 and by: The Singapore National Research Foundation under its International Research Centre @ Singapore Funding Initiative and administered by the IDM Programme Office.
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Q & A 35 Elastic Hierarchy (InfoVis ‘05) Tracing Tuples Across Dimensions (EuroVis ‘12)
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End 36
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