Workshop
Topological Data Analysis and Beyond
Bastian Rieck · Frederic Chazal · Smita Krishnaswamy · Roland Kwitt · Karthikeyan Natesan Ramamurthy · Yuhei Umeda · Guy Wolf
Thu 10 Dec, 11 p.m. PST
The last decade saw an enormous boost in the field of computational topology: methods and concepts from algebraic and differential topology, formerly confined to the realm of pure mathematics, have demonstrated their utility in numerous areas such as computational biology, personalised medicine, materials science, and time-dependent data analysis, to name a few.
The newly-emerging domain comprising topology-based techniques is often referred to as topological data analysis (TDA). Next to their applications in the aforementioned areas, TDA methods have also proven to be effective in supporting, enhancing, and augmenting both classical machine learning and deep learning models.
We believe that it is time to bring together theorists and practitioners in a creative environment to discuss the goals beyond the currently-known bounds of TDA. We want to start a conversation between experts, non-experts, and users of TDA methods to debate the next steps the field should take. We also want to disseminate methods to a broader audience and demonstrate how easy the integration of topological concepts into existing methods can be.
Important links:
- Rocket.Chat (for asking questions)
- Slack (for asking questions)
Schedule
Thu 3:00 p.m. -
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Gather.Town (for poster sessions) ( Link ) > link | 🔗 |
Thu 3:01 p.m. -
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Rocket.Chat (for asking questions to panellists) ( Link ) > link | 🔗 |
Thu 3:02 p.m. -
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Slack (for asking questions to panellists) ( Link ) > link | 🔗 |
Thu 11:00 p.m. - 11:15 p.m.
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Opening Remarks
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Opening Remarks
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Frederic Chazal · Smita Krishnaswamy · Roland Kwitt · Karthikeyan Natesan Ramamurthy · Bastian Rieck · Yuhei Umeda · Guy Wolf 🔗 |
Thu 11:15 p.m. - 11:45 p.m.
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Keynote: Kathryn Hess: Topological Insights in Neuroscience
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Keynote
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SlidesLive Video |
Kathryn Hess 🔗 |
Thu 11:45 p.m. - 12:00 a.m.
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Invited Talk: Vidit Nanda: Singularity Detection in Data
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Invited Talk
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SlidesLive Video |
Vidit Nanda 🔗 |
Fri 12:00 a.m. - 12:15 a.m.
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Invited Talk: Yuzuru Yamakage: Industrial Application of TDA-ML technology: Achievement so far and expectations of future
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Invited Talk
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SlidesLive Video |
Yuzuru Yamakage 🔗 |
Fri 12:15 a.m. - 12:30 a.m.
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Invited Talk: Katharine Turner
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Invited Talk: Wasserstein Stability for Persistence Diagrams
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SlidesLive Video |
Katharine Turner 🔗 |
Fri 12:30 a.m. - 12:45 a.m.
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Invited Talk: Manohar Kaul: Solving Partial Assignment Problems using Random Simplicial Complexes
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Invited Talk
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SlidesLive Video |
Manohar Kaul 🔗 |
Fri 12:45 a.m. - 1:00 a.m.
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Invited Talk: Yasuaki Hiraoka: Characterizing Rare Events in Persistent Homology
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Invited Talk
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SlidesLive Video |
Yasuaki Hiraoka 🔗 |
Fri 1:00 a.m. - 1:15 a.m.
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Invited Talk: Serguei Barannikov: Topological Obstructions to Neural Networks’ Learning
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Invited Talk
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SlidesLive Video |
Serguei Barannikov 🔗 |
Fri 1:15 a.m. - 1:30 a.m.
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Invited Talk: Ulrich Bauer: The Representation Theory of Filtered Hierarchical Clustering
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Invited Talk
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SlidesLive Video |
Ulrich Bauer 🔗 |
Fri 1:30 a.m. - 1:33 a.m.
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Spotlight: Topo Sampler: A Topology Constrained Noise Sampling for GANs
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Spotlight
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SlidesLive Video |
Adrish Dey · Sayantan Das 🔗 |
Fri 1:33 a.m. - 1:36 a.m.
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Spotlight: Weighting Vectors for Machine Learning: Numerical Harmonic Analysis Applied to Boundary Detection
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Spotlight
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SlidesLive Video |
Eric Bunch · Jeffery Kline · Daniel Dickinson · Glenn Fung 🔗 |
Fri 1:36 a.m. - 1:39 a.m.
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Spotlight: Hypothesis Classes with a Unique Persistence Diagram are Nonuniformly Learnable
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Spotlight
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SlidesLive Video |
Nicholas Bishop · Long Tran-Thanh · Thomas Davies 🔗 |
Fri 1:39 a.m. - 1:42 a.m.
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Spotlight: Quantifying Barley Morphology Using the Euler Characteristic Transform
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Spotlight
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SlidesLive Video |
Erik Amézquita · Elizabeth Munch · Michelle Quigley · Tim Ophelders · Jacob Landis · Daniel Chitwood · Daniel Koenig 🔗 |
Fri 1:42 a.m. - 1:45 a.m.
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Spotlight: giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration
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Spotlight
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SlidesLive Video |
Guillaume Tauzin · Umberto Lupo · Kathryn Hess · Lewis Tunstall · Julian Pérez · Matteo Caorsi · Wojciech Reise · Anibal Medina-Mardones · Alberto Dassatti 🔗 |
Fri 1:45 a.m. - 2:15 a.m.
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Poster Session I & Break
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Poster Session
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Fri 2:15 a.m. - 3:00 a.m.
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Discussion I
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Discussion Panel
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Fri 3:00 a.m. - 3:30 a.m.
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Keynote: Gunnar Carlsson
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Keynote
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SlidesLive Video |
Gunnar Carlsson 🔗 |
Fri 3:30 a.m. - 4:30 a.m.
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Lunch Break
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Fri 4:00 a.m. - 4:30 a.m.
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Invited Talk: Lida Kanari: A Topological Insight on Neuronal Morphologies
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Invited Talk
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Lida Kanari 🔗 |
Fri 4:30 a.m. - 4:45 a.m.
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Invited Talk: Peter Bubenik
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Invited Talk
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SlidesLive Video |
Peter Bubenik 🔗 |
Fri 4:45 a.m. - 5:00 a.m.
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Invited Talk: Andrew J. Blumberg ( Invited Talk ) > link | Andrew Blumberg 🔗 |
Fri 5:00 a.m. - 5:15 a.m.
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Invited Talk: Bei Wang: Topology and Neuron Activations in Deep Learning
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Invited Talk
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SlidesLive Video |
Bei Wang 🔗 |
Fri 5:00 a.m. -
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Demo: Teaspoon Package ( Demo Session ) > link | 🔗 |
Fri 5:15 a.m. - 5:30 a.m.
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Invited Talk: Lorin Crawford: A Machine Learning Pipeline for Feature Selection and Association Mapping with 3D Shapes
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Invited Talk
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SlidesLive Video |
Lorin Crawford 🔗 |
Fri 5:30 a.m. - 5:45 a.m.
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Invited Talk: Chao Chen
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Invited Talk
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SlidesLive Video |
Chao Chen 🔗 |
Fri 5:45 a.m. - 6:00 a.m.
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Invited Talk: Mathieu Carrière: Probabilistic and Statistical Aspects of Reeb spaces and Mappers
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Invited Talk
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SlidesLive Video |
Mathieu Carrière 🔗 |
Fri 5:45 a.m. - 6:00 a.m.
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Invited Talk: Brittany Terese Fasy: Searching in the Space of Persistence Diagrams
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Invited Talk
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SlidesLive Video |
Brittany Terese Fasy 🔗 |
Fri 6:15 a.m. - 6:30 a.m.
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Invited Talk: Don Sheehy
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Invited Talk
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SlidesLive Video |
Donald Sheehy 🔗 |
Fri 6:30 a.m. - 6:33 a.m.
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Spotlight: k-simplex2vec: A Simplicial Extension of node2vec
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Spotlight
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SlidesLive Video |
Celia Hacker 🔗 |
Fri 6:33 a.m. - 6:36 a.m.
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Spotlight: Sheaf Neural Networks
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Spotlight
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SlidesLive Video |
Jakob Hansen · Thomas Gebhart 🔗 |
Fri 6:36 a.m. - 6:39 a.m.
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Spotlight: Characterizing the Latent Space of Molecular Generative Models with Persistent Homology Metrics
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Spotlight
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SlidesLive Video |
Yair Schiff · Payel Das · Vijil Chenthamarakshan · Karthikeyan Natesan Ramamurthy 🔗 |
Fri 6:39 a.m. - 6:42 a.m.
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Spotlight: Permutation Invariant Networks to Learn Wasserstein Metrics
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Spotlight
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SlidesLive Video |
Arijit Sehanobish · Neal G Ravindra · David van Dijk 🔗 |
Fri 6:42 a.m. - 6:45 a.m.
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Spotlight: Multidimensional Persistence Module Classification via Lattice-Theoretic Convolutions
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Spotlight
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SlidesLive Video |
Hans Riess 🔗 |
Fri 6:45 a.m. - 7:15 a.m.
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Poster Session II & Break
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Poster Session
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Fri 7:15 a.m. - 8:00 a.m.
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Discussion II
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Discussion Panel
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Fri 8:00 a.m. - 8:15 a.m.
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Invited Talk: Laxmi Parida: TDA on Covid 19 OMICS data
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Invited Talk
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SlidesLive Video |
LAXMI PARIDA 🔗 |
Fri 8:15 a.m. - 8:30 a.m.
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Invited Talk: Jose Perea: TALLEM – Topological Assembly of LocalLy Euclidean Models
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Invited Talk
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SlidesLive Video |
Jose Perea 🔗 |
Fri 8:30 a.m. - 8:45 a.m.
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Invited Talk: Yusu Wang: Discrete Morse-based Graph Reconstruction and Data Analysis
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Invited Talk
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SlidesLive Video |
Yusu Wang 🔗 |
Fri 8:45 a.m. - 9:00 a.m.
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Invited Talk: Robert Ghrist: The Tarski Laplacian
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Invited Talk
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SlidesLive Video |
Robert Ghrist 🔗 |
Fri 9:00 a.m. - 9:15 a.m.
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Invited Talk: Elizabeth Munch: Persistent Homology of Complex Networks for Dynamic State Detection in Time Series
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Invited Talk
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SlidesLive Video |
Elizabeth Munch 🔗 |
Fri 9:15 a.m. - 9:30 a.m.
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Invited Talk: Leland McInnes: UMAP + MAPPER = UMAPPER
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Invited Talk
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SlidesLive Video |
Leland McInnes 🔗 |
Fri 9:30 a.m. - 9:45 a.m.
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Invited Talk: Facundo Mémoli: Spatiotemporal Persistent Homology for Dynamic Metric Spaces
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Invited Talk
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SlidesLive Video |
Facundo Mémoli 🔗 |
Fri 9:45 a.m. - 10:15 a.m.
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Poster Session III & Break
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Poster Session
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Fri 10:15 a.m. - 11:15 a.m.
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Discussion III
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Discussion Panel
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Fri 11:15 a.m. - 11:30 a.m.
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Closing Remarks
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Closing Remarks
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Frederic Chazal · Smita Krishnaswamy · Roland Kwitt · Karthikeyan Natesan Ramamurthy · Bastian Rieck · Yuhei Umeda · Guy Wolf 🔗 |