
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. 
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.  
Flexible and Probabilistic Topology Tracking with Partial Optimal Transport.
Mingzhe Li, Xinyuan Yan, Lin Yan, Tom Needham, Bei Wang. Manuscript, 2023. arXiv:2302.02895.  
Hypergraph CoOptimal Transport: Metric and Categorical Properties.
Samir Chowdhury, Tom Needham, Ethan Semrad, Bei Wang, Youjia Zhou. Manuscript, 2023. arXiv:2112.03904.  
Sketching and Vectorizing Merge Trees for Scientific Data Visualization.
Mingzhe Li, Sourabh Palande, Lin Yan, Bei Wang. Manuscript, 2023. arXiv:2101.03196.  
Labeled Interleaving Distance for Reeb Graphs.
Fangfei Lan, Salman Parsa, Bei Wang. Manuscript, 2023. arXiv:2306.01186  
TROPHY: A Topologically Robust PhysicsInformed Tracking Framework for Tropical Cyclone.
Lin Yan, Hanqi Guo, Tom Peterka, Bei Wang, Jiali Wang. Manuscript, 2023.  
HomologyPreserving Multiscale Graph Skeletonization Using Mapper on Graphs.
Paul Rosen, Mustafa Hajij, Bei Wang. Manuscript, 2023.  
Comparing Morse Complexes Using Optimal Transport:
An Experimental Study.
Carson Storm, Mingzhe Li, Austin Yang Li, Tom Needham, Bei Wang. Manuscript, 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), 2022. DOI: 10.1109/TVCG.2022.3163349 (early access) arXiv:2107.14373  
Topological Simplifications of Hypergraphs.
Youjia Zhou, Archit Rathore, Emilie Purvine, Bei Wang. IEEE Transactions on Visualization and Computer Graphics (TVCG), 2022. DOI: 10.1109/TVCG.2022.3153895 (early access) 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 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  present) School of Computing and Scientific Computing and Imaging Institute University of Utah Dr. Salman Parsa (Postdc, 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. 