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Automated Conceptual Abstraction of Large Diagrams By Daniel Levy and Christina Christodoulakis December 2012 (2 days before the end of the world)
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Introduction Big picture Clustering Algorithm Experiment & Results Conclusion Outline
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Introduction Big picture Clustering Algorithm Experiments & Results Conclusion Outline
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So what is this “clustering” you speak of? Why do we need to cluster? Reduce cognitive load Introduction
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Introduction Big picture Clustering Algorithm Experiment + Results Conclusion Outline
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Big Picture
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Vision
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Diagram Abstraction
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Its been done before.. Related Works
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Consider a diagram stripped of semantics, or pre processed using methodologies in previous work Cluster graph Evaluate clusters proposed based on closeness of meaning in the node names Our Approach
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Introduction Big picture Clustering Algorithm Experiment + Results Conclusion Outline
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Min-Cut
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Naïve Min-Cut Algorithm
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C A N B 1 2 3 C A N B 2 3 E 4 E 4 *Must result in exactly 2 partitions Combinations / Creating partitions *Assume there exist additional nodes
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C A N B 1 2 3 C A N B 1 E E 4 4
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C D A B 2 1 3 C D A B 2 Minimum sets C D A B 2 1 3 C D A B 2 3
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D A B 1 3 2 D A B 3 2 D A B 1 3 2 D A B 2 Cycles
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E D C A B 1 2 3 4 5 Listing the min-cuts
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E D C A B 1 2 3 4 5
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E D C A B 1 2 3 4 5
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E D C A B 1 2 3 4 5
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E D C A B 1 2 3 4 5
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E D C A B 1 2 3 4 5 E D C A B 1 2 3 Outside-in approach
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E D C A B 1 2 3 4 5 E D C A B 1 2 3 5
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E D C A B 1 2 3 4 5 E D C A B 1 2 3 4
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E D C A B 1 2 3 4 5
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We use RiTa WordNet getDistance() function We calculate pairwise distances between nodes. Select for each node the smallest distance between it and another node Sum all minimum distances Average over all nodes in candidate cluster Cluster Distance Measure
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Introduction Big picture Clustering Algorithm Experiments + Results Conclusion Outline
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Experiment 1
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Experiment #1
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User 1 abstraction
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Experimentation User 2 abstraction
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Experiment # 1 automated abstraction
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Experiment 2
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Experiment #2
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Simplified version
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Introduction Big picture Clustering Algorithm Experiments + Results Conclusion Outline
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Surprised at how similar manual clustering and automated clustering were. Suggested improvements: Automatic distance threshold Creating subgraphs Strictness of clustering (min # of clusters Advanced min-cut discovery Conclusions
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Questions? Merry Christmas!
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