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Workshop: Topological Data Analysis and Beyond

Bastian Rieck, Frederic Chazal, Smita Krishnaswamy, Roland Kwitt, Karthi Natesan Ramamurthy, Yuhei Umeda, Guy Wolf

2020-12-10T23:00:00-08:00 - 2020-12-11T12:00:00-08:00
Abstract: 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.


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2020-12-10T23:00:00-08:00 - 2020-12-10T23:15:00-08:00
Opening Remarks
Frederic Chazal, Smita Krishnaswamy, Roland Kwitt, Karthi Natesan Ramamurthy, Bastian Rieck, Yuhei Umeda, Guy Wolf
2020-12-10T23:15:00-08:00 - 2020-12-10T23:45:00-08:00
Keynote: Kathryn Hess: Topological Insights in Neuroscience
Kathryn Hess
2020-12-10T23:45:00-08:00 - 2020-12-11T00:00:00-08:00
Invited Talk: Vidit Nanda: Singularity Detection in Data
Vidit Nanda
2020-12-11T00:00:00-08:00 - 2020-12-11T00:15:00-08:00
Invited Talk: Yuzuru Yamakage: Industrial Application of TDA-ML technology: Achievement so far and expectations of future
Yuzuru Yamakage
2020-12-11T00:15:00-08:00 - 2020-12-11T00:30:00-08:00
Invited Talk: Katharine Turner
Katharine Turner
2020-12-11T00:30:00-08:00 - 2020-12-11T00:45:00-08:00
Invited Talk: Manohar Kaul: Solving Partial Assignment Problems using Random Simplicial Complexes
Manohar Kaul
2020-12-11T00:45:00-08:00 - 2020-12-11T01:00:00-08:00
Invited Talk: Yasuaki Hiraoka: Characterizing Rare Events in Persistent Homology
Yasuaki Hiraoka
2020-12-11T01:00:00-08:00 - 2020-12-11T01:15:00-08:00
Invited Talk: Serguei Barannikov: Topological Obstructions to Neural Networks’ Learning
Serguei Barannikov
2020-12-11T01:15:00-08:00 - 2020-12-11T01:30:00-08:00
Invited Talk: Ulrich Bauer: The Representation Theory of Filtered Hierarchical Clustering
Ulrich Bauer
2020-12-11T01:30:00-08:00 - 2020-12-11T01:33:00-08:00
Spotlight: Topo Sampler: A Topology Constrained Noise Sampling for GANs
Adrish Dey, Sayantan Das
2020-12-11T01:33:00-08:00 - 2020-12-11T01:36:00-08:00
Spotlight: Weighting Vectors for Machine Learning: Numerical Harmonic Analysis Applied to Boundary Detection
Eric Bunch, Jeff Kline, Daniel Dickinson, Glenn Fung
2020-12-11T01:36:00-08:00 - 2020-12-11T01:39:00-08:00
Spotlight: Hypothesis Classes with a Unique Persistence Diagram are Nonuniformly Learnable
Nicholas Bishop, Long Tran-Thanh, Thomas Davies
2020-12-11T01:39:00-08:00 - 2020-12-11T01:42:00-08:00
Spotlight: Quantifying Barley Morphology Using the Euler Characteristic Transform
Erik Amézquita, Elizabeth Munch, Michelle Quigley, Tim Ophelders, Jacob Landis, Daniel Chitwood, Daniel Koenig
2020-12-11T01:42:00-08:00 - 2020-12-11T01:45:00-08:00
Spotlight: giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration
Guillaume Tauzin, Umberto Lupo, Kathryn Hess, Lewis Tunstall, Julian Pérez, Matteo Caorsi, Wojtek Reise, ‪Anibal Medina-Mardones, Alberto Dassatti
2020-12-11T01:45:00-08:00 - 2020-12-11T02:15:00-08:00
Poster Session I & Break
2020-12-11T02:15:00-08:00 - 2020-12-11T03:00:00-08:00
Discussion I
2020-12-11T03:00:00-08:00 - 2020-12-11T03:30:00-08:00
Keynote: Gunnar Carlsson
Gunnar Carlsson
2020-12-11T03:30:00-08:00 - 2020-12-11T04:30:00-08:00
Lunch Break
2020-12-11T04:00:00-08:00 - 2020-12-11T04:30:00-08:00
Invited Talk: Lida Kanari: A Topological Insight on Neuronal Morphologies
Lida Kanari
2020-12-11T04:30:00-08:00 - 2020-12-11T04:45:00-08:00
Invited Talk: Peter Bubenik
Peter Bubenik
2020-12-11T04:45:00-08:00 - 2020-12-11T05:00:00-08:00
Invited Talk: Andrew J. Blumberg
Andrew Blumberg
2020-12-11T05:00:00-08:00 - 2020-12-11T05:15:00-08:00
Invited Talk: Bei Wang: Topology and Neuron Activations in Deep Learning
Bei Wang
2020-12-11T05:15:00-08:00 - 2020-12-11T05:30:00-08:00
Invited Talk: Lorin Crawford: A Machine Learning Pipeline for Feature Selection and Association Mapping with 3D Shapes
Lorin Crawford
2020-12-11T05:30:00-08:00 - 2020-12-11T05:45:00-08:00
Invited Talk: Chao Chen
Chao Chen
2020-12-11T05:45:00-08:00 - 2020-12-11T06:00:00-08:00
Invited Talk: Brittany Terese Fasy: Searching in the Space of Persistence Diagrams
Brittany Terese Fasy
2020-12-11T05:45:00-08:00 - 2020-12-11T06:00:00-08:00
Invited Talk: Mathieu Carrière: Probabilistic and Statistical Aspects of Reeb spaces and Mappers
Mathieu Carrière
2020-12-11T06:15:00-08:00 - 2020-12-11T06:30:00-08:00
Invited Talk: Don Sheehy
Donald Sheehy
2020-12-11T06:30:00-08:00 - 2020-12-11T06:33:00-08:00
Spotlight: k-simplex2vec: A Simplicial Extension of node2vec
Celia Hacker
2020-12-11T06:33:00-08:00 - 2020-12-11T06:36:00-08:00
Spotlight: Sheaf Neural Networks
Jakob Hansen, Thomas Gebhart
2020-12-11T06:36:00-08:00 - 2020-12-11T06:39:00-08:00
Spotlight: Characterizing the Latent Space of Molecular Generative Models with Persistent Homology Metrics
Yair Schiff, Payel Das, Vijil Chenthamarakshan, Karthi Natesan Ramamurthy
2020-12-11T06:39:00-08:00 - 2020-12-11T06:42:00-08:00
Spotlight: Permutation Invariant Networks to Learn Wasserstein Metrics
Arijit Sehanobish, Neal G Ravindra, David van Dijk
2020-12-11T06:42:00-08:00 - 2020-12-11T06:45:00-08:00
Spotlight: Multidimensional Persistence Module Classification via Lattice-Theoretic Convolutions
Hans Riess
2020-12-11T06:45:00-08:00 - 2020-12-11T07:15:00-08:00
Poster Session II & Break
2020-12-11T07:15:00-08:00 - 2020-12-11T08:00:00-08:00
Discussion II
2020-12-11T08:00:00-08:00 - 2020-12-11T08:15:00-08:00
Invited Talk: Laxmi Parida: TDA on Covid 19 OMICS data
2020-12-11T08:15:00-08:00 - 2020-12-11T08:30:00-08:00
Invited Talk: Jose Perea: TALLEM – Topological Assembly of LocalLy Euclidean Models
Jose Perea
2020-12-11T08:30:00-08:00 - 2020-12-11T08:45:00-08:00
Invited Talk: Yusu Wang: Discrete Morse-based Graph Reconstruction and Data Analysis
Yusu Wang
2020-12-11T08:45:00-08:00 - 2020-12-11T09:00:00-08:00
Invited Talk: Robert Ghrist: The Tarski Laplacian
Robert Ghrist
2020-12-11T09:00:00-08:00 - 2020-12-11T09:15:00-08:00
Invited Talk: Elizabeth Munch: Persistent Homology of Complex Networks for Dynamic State Detection in Time Series
Elizabeth Munch
2020-12-11T09:15:00-08:00 - 2020-12-11T09:30:00-08:00
Invited Talk: Leland McInnes: UMAP + MAPPER = UMAPPER
Leland McInnes
2020-12-11T09:30:00-08:00 - 2020-12-11T09:45:00-08:00
Invited Talk: Facundo Mémoli: Spatiotemporal Persistent Homology for Dynamic Metric Spaces
Facundo Mémoli
2020-12-11T09:45:00-08:00 - 2020-12-11T10:30:00-08:00
Poster Session III & Break
2020-12-11T10:30:00-08:00 - 2020-12-11T11:15:00-08:00
Discussion III
2020-12-11T11:15:00-08:00 - 2020-12-11T11:30:00-08:00
Closing Remarks
Frederic Chazal, Smita Krishnaswamy, Roland Kwitt, Karthi Natesan Ramamurthy, Bastian Rieck, Yuhei Umeda, Guy Wolf
2020-12-11T14:00:00-08:00 - 2020-12-11T14:01:00-08:00
Raúl Rabadán