
Award Number and Duration 
DOE DESC0021015 
PI and Point of Contact 
Bei Wang Phillips (Publish Under Bei Wang) 
Overview 
We are experiencing an information overload from streams of data that arise from scientific instruments and simulations. For example, material scientists use molecular dynamics (MD) simulations to study how fluids (such as gas, oil, and water) interact with heterogeneous porous solids (such as ceramics, cement, and rock) to improve transport phenomena within porous materials, which play critical roles in our energy sector. Such simulations generate large, timevarying, and complex forms of data under different physical and chemical conditions. Keeping track of interesting phenomena and applying appropriate actions (such as storage, analysis, and visualization) while the simulation is running is necessary but challenging. To address this challenge, the goal is no longer to capture and store observations or simulation in detail, but rather to process data efficiently and approximately in order to create a summary  a sketch  which allows queries over large volumes of data to be answered quickly. 
Publications and Manuscripts 
Papers marked with * use alphabetic ordering of authors. 
Manuscripts  
Distributed Augmentation, Hypersweeps, and Branch Decomposition of Contour Trees for Scientific Exploration.
Mingzhe Li, Hamish Carr, Oliver Rubel, Bei Wang, Gunther H. Weber. Manuscript, 2024.  
Fast Comparative Analysis of Merge Trees Using LocalitySensitive Hashing.
Weiran Lyu, Raghavendra Sridharamurthy, Jeff M. Phillips, Bei Wang. Manuscript, 2024.  
Flexible and Probabilistic Topology Tracking with Partial Optimal Transport.
Mingzhe Li, Xinyuan Yan, Lin Yan, Tom Needham, Bei Wang. Manuscript, 2023. arXiv:2302.02895.  
Labeled Interleaving Distance for Reeb Graphs.
Fangfei Lan, Salman Parsa, Bei Wang. Manuscript, 2023. arXiv:2306.01186  
Year 4 (2023  2024)  
Topological Characterization and Uncertainty Visualization of Atmospheric Rivers.
Fangfei Lan, Brandi Gamelin, Lin Yan, Jiali Wang, Bei Wang, Hanqi Guo. Eurographics Conference on Visualization (EuroVis), 2024.  
Generating Euler Diagrams Through Combinatorial Optimization.
Peter Rottmann, Peter Rodgers, Xinyuan Yan, Daniel Archambault, Bei Wang, JanHenrik Haunert. Eurographics Conference on Visualization (EuroVis), 2024.  
Labeled Interleaving Distance for Reeb Graphs (YRF).
Fangfei Lan, Salman Parsa, Bei Wang. International Symposium on Computational Geometry (SOCG) Young Researcher Forum (YRF), 2024.  
MeasureTheoretic Reeb Graphs and Reeb Spaces.
Qingsong Wang, Guanquan Ma, Raghavendra Sridharamurthy, Bei Wang. International Symposium on Computational Geometry (SOCG), 2024. arXiv:2401.06748.  
TopoSZ: Preserving Topology in ErrorBounded Lossy Compression.
Lin Yan, Xin Liang, Hanqi Guo, Bei Wang. IEEE Visualization Conference (IEEE VIS), 2023. IEEE Transactions on Visualization and Computer Graphics (TVCG), 30, pages 13021312, 2024. Supplementary Material. DOI:10.1109/TVCG.2023.3326920 arXiv:2304.11768.  
TROPHY: A Topologically Robust PhysicsInformed Tracking Framework for Tropical Cyclone.
Lin Yan, Hanqi Guo, Tom Peterka, Bei Wang, Jiali Wang. IEEE Visualization Conference (IEEE VIS), 2023. IEEE Transactions on Visualization and Computer Graphics (TVCG), 30, pages 12491259, 2024. Supplementary Material. DOI:10.1109/TVCG.2023.3326905 arXiv:2307.15243.  
Comparing Morse Complexes Using Optimal Transport:
An Experimental Study.
Mingzhe Li, Carson Storm, Austin Yang Li, Tom Needham, Bei Wang. IEEE Visualization and Visual Analytics (VIS) Short Paper, pages 4145, 2023. Supplementary Material. DOI:10.1109/VIS54172.2023.00017  
Sketching Merge Trees for Scientific Visualization.
Mingzhe Li, Sourabh Palande, Lin Yan, Bei Wang. IEEE Workshop on Topological Data Analysis and Visualization (TopoInVis) at IEEE VIS, pages 6171, 2023. Supplementary Material. DOI:10.1109/TopoInVis60193.2023.00013 arXiv:2101.03196.  
HomologyPreserving MultiScale Graph Skeletonization Using Mapper on Graphs. Mustafa Hajij, Bei Wang, Paul Rosen. IEEE Workshop on Topological Data Analysis and Visualization (TopoInVis) at IEEE VIS, pages 1020, 2023. Supplementary Material: User study data. DOI:10.1109/TopoInVis60193.2023.00008 arXiv:1804.11242. 

Combinatorial Exploration of MorseSmale Functions on the Sphere via Interactive Visualization. Youjia Zhou, Janis Lazovskis, Michael J. Catanzaro, Matthew Zabka, Bei Wang. IEEE Workshop on Topological Data Analysis and Visualization (TopoInVis) at IEEE VIS, pages 5160, 2023. DOI:10.1109/TopoInVis60193.2023.00012 arXiv:1912.09580.  
Hypergraph CoOptimal Transport: Metric and Categorical Properties.
Samir Chowdhury, Tom Needham, Ethan Semrad, Bei Wang, Youjia Zhou. Journal of Applied and Computational Topology, 2023. DOI:10.1007/s41468023001429 arXiv:2112.03904  
Year 3 (2022  2023)  
Multilevel Robustness for 2D Vector Field Feature Tracking, Selection, and Comparison. Lin Yan, Paul Aaron Ullrich, Luke P. Van Roekel, Bei Wang, Hanqi Guo. Computer Graphics Forum, 2023. DOI: 10.1111/cgf.14799 arXiv:2209.11708  
Metadiagrams for 2parameter persistence. Nate Clause, Tamal K. Dey, Facundo Mémoli, Bei Wang*. International Symposium on Computational Geometry (SOCG), 2023.  
Uncertainty Visualization for Graph Coarsening. Fangfei Lan, Sourabh Palande, Michael Young, Bei Wang. IEEE International Conference on Big Data (IEEE BigData), 2022. DOI: 10.1109/BigData55660.2022.10021039  
Reduced Connectivity for Local Bilinear Jacobi Sets.
Daniel Klötzl, Tim Krake, Youjia Zhou, Jonathan Stober, Kathrin Schulte, Ingrid Hotz, Bei Wang, Daniel Weiskopf. IEEE Workshop on Topological Data Analysis and Visualization (TopoInVis) at IEEE VIS, 2022. DOI: 10.1109/TopoInVis57755.2022.00011 arXiv:2208.07148 Honorable Mention Paper Award.  
Untangling ForceDirected Layouts Using Persistent Homology.
Bhavana Doppalapudi, Bei Wang, Paul Rosen. IEEE Workshop on Topological Data Analysis and Visualization (TopoInVis) at IEEE VIS, 2022. DOI: 10.1109/TopoInVis57755.2022.00015 arXiv:2208.06927  
Year 2 (2021  2022)  
GeometryAware Merge Tree Comparisons for TimeVarying Data with Interleaving Distances.
Lin Yan, Talha Bin Masood, Farhan Rasheed, Ingrid Hotz, Bei Wang. IEEE Transactions on Visualization and Computer Graphics (TVCG), 29(8), pages 34893506, 2023. DOI: 10.1109/TVCG.2022.3163349 arXiv:2107.14373  
Topological Simplifications of Hypergraphs.
Youjia Zhou, Archit Rathore, Emilie Purvine, Bei Wang. IEEE Transactions on Visualization and Computer Graphics (TVCG), 29(7), pages 32093225, 2023. DOI: 10.1109/TVCG.2022.3153895 arXiv:2104.11214.  
Local Bilinear Computation of Jacobi Sets Daniel Klötzl, Tim Krake, Youjia Zhou, Ingrid Hotz, Bei Wang, Daniel Weiskopf. Computer Graphics International (CGI), 2022. Visual Computer, 38, pages 34353448, 2022. DOI: 10.1007/s00371022025574 Visual Computer Second Best Paper Award.  
Stitch Fix for Mapper and Topological Gains.
Youjia Zhou, Nathaniel Saul, Ilkin Safarli, Bala Krishnamoorthy, Bei Wang. Research in Computational Topology 2, Association for Women in Mathematics Series, vol 30, pages 265294, Springer, Cham. 2022. Editors: Ellen Gasparovic, Vanessa Robins, Katharine Turner. DOI: 10.1007/9783030955199_12  
Graph Pseudometrics from a Topological Point of View.
Ana Lucia GarciaPulido, Kathryn Hess, Jane Tan, Katharine Turner, Bei Wang, Naya Yerolemou. Research in Computational Topology 2, Association for Women in Mathematics Series, vol 30, pages 99128, Springer, Cham. 2022. Editors: Ellen Gasparovic, Vanessa Robins, Katharine Turner. DOI: 10.1007/9783030955199_5  
Year 1 (2020  2021)  
Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization.
Lin Yan, Talha Bin Masood, Raghavendra Sridharamurthy, Farhan Rasheed, Vijay Natarajan, Ingrid Hotz, Bei Wang. Eurographics Conference on Visualization (EuroVis), 2021. Computer Graphics Forum, 40(3), pages 599633, 2021. DOI: 10.1111/cgf.14331 
Software Downloads 
Topological Simplification of Hypergraphs https://github.com/tdavislab/HypergraphVis An interactive toolbox for interactive visualization of hypergraphs and their simplifications. 
Presentations, Educational Development and Broader Impacts 
Year 4 (2023  2024) 

Year 3 (2022  2023) 

Year 2 (2021  2022) 

Year 1 (2020  2021) 

Postdoc and Students 
Mingzhe Li (Ph.D. student) School of Computing and Scientific Computing and Imaging Institute University of Utah Fangfei Lan (Ph.D. student) School of Computing and Scientific Computing and Imaging Institute University of Utah Dr. Raghavendra Sridharamurthy (Postdoc, April 2023  March 2024) School of Computing and Scientific Computing and Imaging Institute University of Utah Dr. Salman Parsa (Postdoc, January 2022  August 2022) Scientific Computing and Imaging Institute University of Utah 
Collaborators 
Dr. Pania Newell, Assistant Professor, Department of Mechanical Engineering; University of Utah. Dr. Anastasia Ilgen, Sandia National Lab. Dr. Roxana Bujack, Los Alamos National Laboratory. Dr. Emilie Purvine, Pacific Northwest National Laboratory. Dr. Gunther Weber, Lawrence Berkeley National Laboratory. 
Acknowledgement 
This material is based upon work supported or partially supported by the United States Department of Energy (DOE) under Grant No. DESC0021015. 