IEEE Workshop on Topological Data Analysis and Visualization
in conjunction with IEEE VIS 2023, Melbourne, Australia

Program

Sunday, October 22, 2023 (Australian Eastern Daylight Time, UTC+11)

Venue: Room 106 @ VIS

2:00pm – 2:10pm Opening Remarks
2:10pm – 3:00pm

Keynote Presentation

Title: Visualising Symmetry with Topology

Professor Vanessa Robins, Australian National University

Abstract: One of my ongoing research projects involves studying periodic spatial structures such as crystalline frameworks, triply periodic minimal surfaces (TPMS) and tiling patterns [1]. Some time ago, colleagues working in soft condensed matter conjectured that a certain family of TPMS were ‘the most symmetric’ and that this is one reason for their predominance in nature [2]. I posed this question to a 3-manifold topologist and within a few months he had devised a proof and found other examples with the same symmetry but knotted [3]. Eventually, I learned the secret to their insight was a visualisation of quotient spaces associated to the crystallographic space groups [4]. This talk will explain what these quotient spaces are, what they lack and how they might help us to understand and design periodic spatial structures.

[1] EPINET: Euclidean Patterns In Non-Euclidean Tilings, https://epinet.anu.edu.au, (2006--2023)
[2] Stephen Hyde, Gerd Schroeder-Turk (et al) EPJB (2003)
[3] Shicheng Wang (et al) Geometriae Dedicata (2017)
[4] William Dunbar. Revista Matematica (1988)

Speaker

Vanessa Robins (Ph.D., University of Colorado, Boulder, Applied Mathematics, 2000) is an Australian applied mathematician whose research interests include computational topology, image processing, and the structure of granular materials. She is an Associate Professor in the Research School of Physics at the Australian National University, where she held an ARC Future Fellowship from 2014 to 2019. In November 2020, she was interviewed by Prof Liz Bradley as part of the inaugural interview series for the AATRN (Applied Algebraic Topology Research Network).

3:00pm – 3:10pm

Best Paper Presentation

  • Multi-field Visualisation via Trait-induced Merge Trees
    Jochen Jankowai, Talha Bin Masood, Ingrid Hotz
3:15pm – 3:45pm Break
3:45pm – 4:06pm

Paper Session: Uncertainty and Ensembles

(Session Chair: Brian Summa)
  • A Mathematical Foundation for the Spatial Uncertainty of Critical Points in Probabilistic Scalar Fields
    Dominik Vietinghoff, Michael Böttinger, Gerik Scheuermann, Christian Heine
  • Probabilistic Gradient-Based Extrema Tracking
    Emma Nilsson, Jonas Lukasczyk, Talha Bin Masood, Christoph Garth, Ingrid Hotz
  • Sketching Merge Trees for Scientific Visualization
    Mingzhe Li, Sourabh Palande, Lin Yan, Bei Wang
4:06pm – 4:27pm

Paper Session: Topological Descriptors and Comparison Measures

(Session Chair: Filip Sadlo)
  • Combinatorial Exploration of Morse–Smale Functions on the Sphere via Interactive Visualization
    Youjia Zhou, Janis Lazovskis, Michael J. Catanzaro, Matthew Zabka, Bei Wang
  • Taming Horizontal Instability in Merge Trees: On the Computation of a Comprehensive Deformation-based Edit Distance
    Florian Wetzels, Markus Anders, Christoph Garth
  • Planar Symmetry Detection and Quantification using the Extended Persistent Homology Transform
    Nicholas A. Bermingham, Vanessa Robins, Katharine Turner
4:27pm – 4:48pm

Paper Session: TDA, ML, and Graphs

(Session Chair: Julien Tierny)
  • Comparing Mapper Graphs of Artificial Neuron Activations
    Youjia Zhou, Helen Jenne, Davis Brown, Madelyn R. Shapiro, Brett A. Jefferson, Cliff Joslyn, Gregory Henselman-Petrusek, Brenda Praggastis, Emilie Purvine, Bei Wang
  • Visualizing Topological Importance: A Class-Driven Approach
    Yu Qin, Brittany Terese Fasy, Carola Wenk, Brian Summa
  • Homology-Preserving Multi-Scale Graph Skeletonization Using Mapper on Graphs
    Paul Rosen, Mustafa Hajij, Bei Wang
4:48pm – 4:55pm

Lightning talks
4:55pm – 5:00pm

Closing