Funded by NSF DMS RTG 2038103: PI Keiko Kawamuro
The workshop format will be in person; however, many talks will be available online. Thus we expect to have both in person and online participants. Not all activities will be available to online participants.
Some datasets are too small for standard statistical/data analysis to accurately characterize the data. Others are extremely large and data size reduction methods may be needed. One solution is to use topological data analysis to simplify and/or visualize data. This workshop will include both tutorials and research talks on topological techniques for visualizing data.
Attendees are encouraged to bring a laptop to analyze their own data or data that will be provided. We will explore datasets via a new lens, and discuss any successes, frustrations, and/or questions with the group. If you have any dataset that was complex enough that you ran PCA to reduce dimensions, but small enough you could process it on your laptop, that dataset is probably a good candidate to bring along and explore with topological tools. We will also provide datasets from neuroscience.
All days start with coffee at 8:30am and talks at 9am. Most days end at 5:30pm. We will end the official part of the workshop at 12:30pm on Friday, but participants are encouraged to stay Friday afternoon to work on software development and/or collaborate on analyzing data sets after lunch on Friday.
Lunch will be on your own. There are many restaurants within walking distance.
8:30am | Coffee | 9:00am | Robert Deyeso, , University of Tennessee at Martin and Ethan Rooke, University of Iowa, Introduction to TDA mapper | 9:30am | James Traer, University of Iowa, Topological structures in the brain and where to look for them | 10:15am | Coffee Break | 10:45am | George Clare Kennedy, Jacob Miller, Paria Karimi Kousalari, Mona Hardani, University of Iowa, TDA shiny mapper + other mappers | 11:30am | Software Demo | 2:00pm | Ishika Ghosh, Michigan State University Approximating Interleaving Distance Between Mapper Graphs via Loss Optimization | 3:00pm | Halley Fritze, University of Oregon, Multiscale 2-Mapper: Exploratory Data Analysis through the first betti number | 4:00 | Coffee Break | 4:30pm | Halley Fritze, University of Oregon, Software Demo | 5:30pm | End of day 1 |
8:30am | Coffee | 9:00am | Fatemeh Shanehsazan, University of Iowa, Filtration of Simplicial Complexes and Their Application to Mapper Graphs | 9:30am | Radmila Sazdanovic, North Carolina State University, (zoom) The Shape of Relations: From Knot Invariants to Cancer Genomics | 10:30am | Coffee Break | 11:00am | Jacob Miller, University of Iowa, | 11:30am | Mingzhe Li, University of Utah, Comparing and Tracking Topological Structures via Optimal Transport | 2:00pm | Jonathan Victor, Geometric analysis of perceptual spaces, (zoom) | 3:00 | Coffee Break | 3:30pm | Gregory Henselman-Petrusek Roek, Pacific Northwest National Laboratory, Open Applied Topology (zoom) | 5:30pm | End of day 2 |
8:30am | Coffee | 9:00am | Lori Ziegelmeier, Macalester College, Minimal Cycle Representatives in Persistent Homology using Linear Programming , | 10:00am | Coffee Break | 10:30am | software to find optimal cycle reps. | 11:30am | Bei Wang Phillips, University of Utah, (zoom) Augmenting Lossy Compressors with Topological Guarantees |
8:30am | Coffee | 9:00am | Brad Theilman, Sandia National Laboratories, Decomposing spiking neural networks with Graphical Neural Activity Threads | 10:00am | Brad Theilman, Sandia National Laboratories, Tutorial Part 1 | 11:00am | Coffee Break | 11:30am | Brad Theilman, Sandia National Laboratories, Tutorial Part 2 | 2:00pm | Enrique G Alvarado, Iowa State University, Wild Mappers | 3:00 | Coffee Break | 3:30pm | Lin Yan, Iowa State University, Topology-Based Visualization Techniques for Scientific Data Exploration | 4:30pm | Discussion | 5:30pm | End of day 4 |
8:30am | Coffee | 9:00am | George Clare Kennedy, University of Iowa, Using Mapper to Visualize Aptamer Binding Affinities | 10:00am | Coffee Break | 10:30am | Mannish Saggar, Stanford University (zoom) | 11:30am | Discussion | 12:30pm | End of official workshop | 2:00pm -- ?? | Software development/Collaboration time |