PH meets ML: Designing visual interfaces for data analysis Christoph Garth – Scientific Visualization Heike Leitte – Visual Information Analysis Dagstuhl Meeting on Topology – Heike Leitte – 20.07.17
Structure and Patterns in Spatial Data http://medicine.yale.edu/cellbio/imagery/historic/light.aspx http://www.mpa-garching.mpg.de/galform/virgo/millennium/ http://www.cee.ucr.edu/research/nanotech.html Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 2
Tabular Data Example: Concrete compressive strength I-Cheng Yeh, "Modeling of strength of high performance concrete using artificial neural networks," Cement and Concrete Research, Vol. 28, No. 12, pp. 1797-1808 (1998). Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 3
Challenge – Find structure in the data Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 4
Machine Learning – Overview http://scikit-learn.org/stable/tutorial/machine_learning_map/index.html Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 5
What is a good DimRed method? Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 6
Evaluating DimRed Methods Rieck, B., & Leitte, H. (2015, June). Persistent homology for the evaluation of dimensionality reduction schemes. In Computer Graphics Forum (Vol. 34, No. 3, pp. 431-440). Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 7
HighD data descriptors Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 8
Distance computation Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 9
Vietoris-Rips complex Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 10
Global quality – Swiss hole Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 11
Global quality – Concrete compressive strength Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 12
Structural Analysis – Concrete compr. strength Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 13
Model Comparison – Concrete RMSE B. Rieck and H. Leitte. Enhancing Comparative Model Analysis using Persistent Homology. IEEE Vis 2014 Workshop on Visualization for Predictive Analytics . good medium poor R² PH+W Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 14
Topology in scientific visualization Usecases § Analytical tool § Data abstraction § Interface Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 15
Volume Rendering + Tracking Graphs Aldrich, G., Lukasczyk, J., Steptoe, M., Maciejewski, R., Leitte, H., & Hamann, B. (2016). Viscous Fingers: A topological Visual Analytic Approach. IEEE Scientific Visualization Contest , 1 (2), 4. Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 16
Volume Rendering + Tracking Graphs Lukasczyk, J., Maciejewski, R., Weber, G. H., Garth, C., & Leitte, H. (2017, January). Nested Tracking Graphs. In Computer Graphics Forum (Special Issue, Proceedings Eurographics/IEEE Symposium on Visualization) (Vol. 36, No. 3). Video: https://youtu.be/sTyO6N2C-x0 Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 17
Summary Topo in Vis § Analytical tool § Data abstraction § Interface Dagstuhl Meeting on Topology – Heike Leitte – 19.07.17 18
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