Workshop
2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML)
Tegan Emerson 路 Henry Kvinge 路 Tim Doster 路 Bastian Rieck 路 Sophia Sanborn 路 Nina Miolane 路 Mathilde Papillon
Meeting Room 317 B
Fri 28 Jul, noon PDT
Much of the data that is fueling current rapid advances in machine learning is high dimensional, structurally complex, and strongly nonlinear. This poses challenges for researcher intuition when they ask (i) how and why current algorithms work and (ii) what tools will lead to the next big break-though. Mathematicians working in topology, algebra, and geometry have more than a hundred years worth of finely-developed machinery whose purpose is to give structure to, help build intuition about, and generally better understand spaces and structures beyond those that we can naturally understand. Following on the success of the first TAG-ML workshop in 2022, this workshop will showcase work which brings methods from topology, algebra, and geometry and uses them to help answer challenging questions in machine learning. Topics include mathematical machine learning, explainability, training schemes, novel algorithms, performance metrics, and performance guarantees. All accepted papers will be included in an associated PMLR volume.
Schedule
Fri 12:00 p.m. - 12:10 p.m.
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Open Remarks
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Open Remarks
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SlidesLive Video |
Tim Doster 路 Tegan Emerson 路 Henry Kvinge 路 Sophia Sanborn 路 Nina Miolane 路 Bastian Rieck 路 Mathilde Papillon 馃敆 |
Fri 12:10 p.m. - 12:50 p.m.
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Discrete Curvature and Applications in Graph-Based Learning
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Keynote
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SlidesLive Video |
Melanie Weber 馃敆 |
Fri 12:50 p.m. - 1:00 p.m.
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A new perspective on building efficient and expressive 3D equivariant graph neural networks
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Spotlight
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SlidesLive Video |
Yuanqi Du 馃敆 |
Fri 1:00 p.m. - 1:30 p.m.
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Coffee Break
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Coffee Break
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馃敆 |
Fri 1:30 p.m. - 2:10 p.m.
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Neural Approaches for Geometric Problems
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Keynote
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SlidesLive Video |
Yusu Wang 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Edge Importance Scores for Editing Graph Topology to Preserve Fairness ( Poster ) > link | Sree Harsha Tanneru 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Infusing invariances in neural representations ( Poster ) > link | Irene Cannistraci 路 Marco Fumero 路 Luca Moschella 路 Valentino Maiorca 路 Emanuele Rodola 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Expressive Sign Equivariant Networks for Spectral Geometric Learning ( Poster ) > link | Derek Lim 路 Joshua Robinson 路 Stefanie Jegelka 路 Haggai Maron 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Desiderata for Representation Learning from Identifiability, Disentanglement, and Group-Structuredness ( Poster ) > link | Hamza Keurti 路 Patrik Reizinger 路 Bernhard Sch枚lkopf 路 Wieland Brendel 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Neural Networks Are Graphs! Graph Neural Networks for Equivariant Processing of Neural Networks ( Poster ) > link | David Zhang 路 Miltiadis (Miltos) Kofinas 路 Yan Zhang 路 Yunlu Chen 路 Gertjan Burghouts 路 Cees Snoek 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Hyperbolic VAE via Latent Gaussian Distributions ( Poster ) > link | Seunghyuk Cho 路 Juyong Lee 路 Dongwoo Kim 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Positional Encodings as Group Representations: A Unified Framework ( Poster ) > link | Derek Lim 路 Hannah Lawrence 路 Ningyuan Huang 路 Erik Thiede 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Fast computation of permutation equivariant layers with the partition algebra ( Poster ) > link | Charles Godfrey 路 Michael Rawson 路 Davis Brown 路 Henry Kvinge 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Evolving Computation Graphs ( Poster ) > link | Andreea Deac 路 Jian Tang 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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A Heat Diffusion Perspective on Geodesic Preserving Dimensionality Reduction ( Poster ) > link | Guillaume Huguet 路 Alexander Tong 路 Edward De Brouwer 路 Yanlei Zhang 路 Guy Wolf 路 Ian Adelstein 路 Smita Krishnaswamy 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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UGSL: A Unified Framework for Benchmarking Graph Structure Learning ( Poster ) > link | Bahare Fatemi 路 Sami Abu-El-Haija 路 Anton Tsitsulin 路 Mehran Kazemi 路 Dustin Zelle 路 Neslihan Bulut 路 Jonathan Halcrow 路 Bryan Perozzi 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Caveats of neural persistence in deep neural networks ( Poster ) > link | Leander Girrbach 路 Anders Christensen 路 A. Koepke 路 Ole Winther 路 Zeynep Akata 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Group Invariant Global Pooling ( Poster ) > link | Kamil Bujel 路 Yonatan Gideoni 路 Chaitanya Joshi 路 Pietro Li贸 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Regression on Latent Spaces for the Analysis of Multi-Condition Single-Cell RNA-Seq Data ( Poster ) > link | Constantin Ahlmann-Eltze 路 Wolfgang Huber 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Learning Polynomial Problems with SL(2)-Equivariance ( Poster ) > link | Hannah Lawrence 路 Mitchell Harris 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Enriching Disentanglement: Definitions to Metrics ( Poster ) > link | Yivan Zhang 路 Masashi Sugiyama 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Geometric Algebra Transformers ( Poster ) > link | Johann Brehmer 路 Pim de Haan 路 S枚nke Behrends 路 Taco Cohen 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Conditional Bisimulation for Generalization in Reinforcement Learning ( Poster ) > link | Anuj Mahajan 路 Amy Zhang 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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On the Expressive Power of Ollivier-Ricci Curvature on Graphs ( Poster ) > link | Josh Southern 路 Jeremy Wayland 路 Michael Bronstein 路 Bastian Rieck 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Can Euclidean Symmetry Help in Reinforcement Learning and Planning ( Poster ) > link | Linfeng Zhao 路 Owen Howell 路 Jung Yeon Park 路 Xupeng Zhu 路 Robin Walters 路 Lawson Wong 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Lie Point Symmetry and Physics Informed Networks ( Poster ) > link | Tara Akhound-Sadegh 路 Laurence Perreault-Levasseur 路 Johannes Brandstetter 路 Max Welling 路 Siamak Ravanbakhsh 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Equivariant Self-supervised Deep Pose Estimation for Cryo EM ( Poster ) > link | Gabriele Cesa 路 Kumar Pratik 路 Arash Behboodi 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Learning Lie Group Symmetry Transformations with Neural Networks ( Poster ) > link | Riccardo Valperga 路 Victoria Klein 路 Alex Gabel 路 Efstratios Gavves 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Sumformer: Universal Approximation for Efficient Transformers ( Poster ) > link | Silas Alberti 路 Niclas Dern 路 Laura Thesing 路 Gitta Kutyniok 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Deep Networks as Paths on the Manifold of Neural Representations ( Poster ) > link | Richard Lange 路 Devin Kwok 路 Jordan Matelsky 路 Xinyue Wang 路 David Rolnick 路 Konrad Kording 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Explaining Graph Neural Networks Using Interpretable Local Surrogates ( Poster ) > link | Farzaneh Heidari 路 Guillaume Rabusseau 路 Perouz Taslakian 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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An Exact Kernel Equivalence for Finite Classification Models ( Poster ) > link | Brian Bell 路 Michael Geyer 路 David Glickenstein 路 Amanda Fernandez 路 Juston Moore 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Learning to Explain Hypergraph Neural Networks ( Poster ) > link | Sepideh Maleki 路 Ehsan Hajiramezanali 路 Gabriele Scalia 路 Tommaso Biancalani 路 Kangway Chuang 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Homological Neural Networks: A Sparse Architecture for Multivariate Complexity ( Poster ) > link | Yuanrong Wang 路 Antonio Briola 路 Tomaso Aste 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Can strong structural encoding reduce the importance of Message Passing? ( Poster ) > link | Floor Eijkelboom 路 Erik Bekkers 路 Michael Bronstein 路 Francesco Di Giovanni 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Linear Regression on Manifold Structured Data: the Impact of Extrinsic Geometry on Solutions ( Poster ) > link | Liangchen Liu 路 Juncai He 路 Yen-Hsi Tsai 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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k-Means Clustering with Distance-Based Privacy ( Poster ) > link | Alessandro Epasto 路 Vahab Mirrokni 路 Shyam Narayanan 路 Peilin Zhong 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Episodic Memory Theory of Recurrent Neural Networks: Insights into Long-Term Information Storage and Manipulation ( Poster ) > link | Arjun Karuvally 路 Peter DelMastro 路 Hava Siegelmann 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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A new perspective on building efficient and expressive 3D equivariant graph neural networks ( Poster ) > link | weitao du 路 Yuanqi Du 路 Limei Wang 路 Dieqiao Feng 路 Guifeng Wang 路 Shuiwang Ji 路 Carla Gomes 路 Zhiming Ma 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Geometrically Regularized Wasserstein Dictionary Learning ( Poster ) > link | Marshall Mueller 路 Shuchin Aeron 路 James Murphy 路 Abiy Tasissa 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs ( Poster ) > link | Samantha Chen 路 Sunhyuk Lim 路 Facundo Memoli 路 Zhengchao Wan 路 Yusu Wang 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Learning To See Topological Properties In 4D Using Convolutional Neural Networks ( Poster ) > link | Khalil Mathieu Hannouch 路 Stephan Chalup 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Learning Large Graph Property Prediction via Graph Segment Training ( Poster ) > link | Kaidi Cao 路 Phitchaya Phothilimthana 路 Sami Abu-El-Haija 路 Dustin Zelle 路 Yanqi Zhou 路 Charith Mendis 路 Jure Leskovec 路 Bryan Perozzi 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Fisher-Rao and pullback Hilbert cone distances on the multivariate Gaussian manifold with applications to simplification and quantization of mixtures ( Poster ) > link | Frank Nielsen 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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MASIL: Towards Maximum Separable Class Representation for Few Shot Class Incremental Learning ( Poster ) > link | Anant Khandelwal 馃敆 |
Fri 2:10 p.m. - 3:00 p.m.
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Poster Session 1
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Poster Session
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馃敆 |
Fri 3:00 p.m. - 4:00 p.m.
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Lunch
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Lunch
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馃敆 |
Fri 4:00 p.m. - 4:40 p.m.
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Graph Rewiring in GNNs
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Keynote
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SlidesLive Video |
Michael M. Bronstein 馃敆 |
Fri 4:40 p.m. - 4:50 p.m.
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GRIL: A 22-parameter Persistence Based Vectorization for Machine Learning
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Spotlight
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link
SlidesLive Video |
Shreyas N. Samaga 馃敆 |
Fri 4:50 p.m. - 5:00 p.m.
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Breaking the Curse of Depth in Graph Convolutional Networks via Refined Initialization Strategy
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Spotlight
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link
SlidesLive Video |
Senmiao Wang 馃敆 |
Fri 5:00 p.m. - 5:40 p.m.
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Intuition for the Data Types and Interactions of Euclidean Neural Networks
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Keynote
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SlidesLive Video |
Tess Smidt 馃敆 |
Fri 5:40 p.m. - 5:50 p.m.
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Unsupervised Embedding Quality Evaluation
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Spotlight
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link
SlidesLive Video |
Anton Tsitsulin 馃敆 |
Fri 5:50 p.m. - 6:00 p.m.
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Topologically Attributed Graphs for Shape Discrimination
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Spotlight
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link
SlidesLive Video |
Florian Russold 馃敆 |
Fri 6:00 p.m. - 6:30 p.m.
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Coffee Break
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Coffee Break
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馃敆 |
Fri 6:30 p.m. - 7:00 p.m.
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Topological Deep Learning Challenge
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Presentation
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link
SlidesLive Video |
Mathilde Papillon 路 Nina Miolane 路 Sophia Sanborn 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Mixed-Curvature Transformers for Graph Representation Learning ( Poster ) > link | Sungjun Cho 路 Seunghyuk Cho 路 Sungwoo Park 路 Hankook Lee 路 Honglak Lee 路 Moontae Lee 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Sample Complexity Bounds for Estimating the Wasserstein Distance under Invariances ( Poster ) > link | Behrooz Tahmasebi 路 Stefanie Jegelka 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Which Features are Learned by Contrastive Learning? On the Role of Simplicity Bias in Class Collapse and Feature Suppression ( Poster ) > link | Yihao Xue 路 Siddharth Joshi 路 Eric Gan 路 Pin-Yu Chen 路 Baharan Mirzasoleiman 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Unsupervised Learning of 3-colorings using Simplicial Higher-Order Neural Networks ( Poster ) > link | Lucas Laird 路 Robin Walters 路 Wolfgang Gatterbauer 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Equivariant Representation Learning with Equivariant Convolutional Kernel Networks ( Poster ) > link | Soutrik Roy Chowdhury 路 Johan Suykens 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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On the Relationship Between Data Manifolds and Adversarial Examples ( Poster ) > link | Michael Geyer 路 Brian Bell 路 Amanda Fernandez 路 Juston Moore 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Asynchronous Algorithmic Alignment with Cocycles ( Poster ) > link | Andrew Dudzik 路 Tamara von Glehn 路 Razvan Pascanu 路 Petar Veli膷kovi膰 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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DeepEMD: A Transformer-based Fast Estimation of the Earth Mover's Distance ( Poster ) > link | Atul Kumar Sinha 路 Fran莽ois Fleuret 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Polyhedral Complex Extraction from ReLU Networks using Edge Subdivision ( Poster ) > link | Arturs Berzins 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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The Exact Sample Complexity Gain from Invariances for Kernel Regression ( Poster ) > link | Behrooz Tahmasebi 路 Stefanie Jegelka 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Implicitly Learned Invariance and Equivariance in Linear Regression ( Poster ) > link | Yonatan Gideoni 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Learning Structured Representations with Equivariant Contrastive Learning ( Poster ) > link | Sharut Gupta 路 Joshua Robinson 路 Derek Lim 路 Soledad Villar 路 Stefanie Jegelka 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Non-isotropic Persistent Homology ( Poster ) > link | Vincent Grande 路 Michael Schaub 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Gromov-Hausdorff Distances for Comparing Product Manifolds of Model Spaces ( Poster ) > link | Haitz S谩ez de Oc谩riz Borde 路 Alvaro Arroyo 路 Ismael Morales 路 Ingmar Posner 路 Xiaowen Dong 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Latent Space Symmetry Discovery ( Poster ) > link | Jianke Yang 路 Nima Dehmamy 路 Robin Walters 路 Rose Yu 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Assessing Neural Network Representations During Training Using Data Diffusion Spectra ( Poster ) > link | Danqi Liao 路 Chen Liu 路 Alexander Tong 路 Guillaume Huguet 路 Guy Wolf 路 Maximilian Nickel 路 Ian Adelstein 路 Smita Krishnaswamy 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Learned Gridification for Efficient Point Cloud Processing ( Poster ) > link | Putri van der Linden 路 David Romero 路 Erik Bekkers 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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FAM: Relative Flatness Aware Minimization ( Poster ) > link | Linara Adilova 路 Amr Abourayya 路 Jianning Li 路 Amin Dada 路 Henning Petzka 路 Jan Egger 路 Jens Kleesiek 路 Michael Kamp 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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One-Shot Neural Network Pruning via Spectral Graph Sparsification ( Poster ) > link | Steinar Laenen 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Topologically Attributed Graphs for Shape Discrimination ( Poster ) > link | Justin Curry 路 Washington Mio 路 Tom Needham 路 Osman Okutan 路 Florian Russold 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Visualizing and Analyzing the Topology of Neuron Activations in Deep Adversarial Training ( Poster ) > link | Youjia Zhou 路 Yi Zhou 路 Jie Ding 路 Bei Wang 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Bridging Equational Properties and Patterns on Graphs: an AI-Based Approach ( Poster ) > link | Oguzhan Keskin 路 Alisia Lupidi 路 Stefano Fioravanti 路 Lucie Charlotte Magister 路 Pietro Barbiero 路 Pietro Li贸 路 Francesco Giannini 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Unsupervised Embedding Quality Evaluation ( Poster ) > link | Anton Tsitsulin 路 Marina Munkhoeva 路 Bryan Perozzi 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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A margin-based multiclass generalization bound via geometric complexity ( Poster ) > link | Michael Munn 路 Benoit Dherin 路 Xavi Gonzalvo 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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On genuine invariance learning without weight-tying ( Poster ) > link | Artem Moskalev 路 Anna Sepliarskaia 路 Erik Bekkers 路 Arnold Smeulders 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Breaking the Curse of Depth in Graph Convolutional Networks via Refined Initialization Strategy ( Poster ) > link | Senmiao Wang 路 Yupeng Chen 路 Yushun Zhang 路 Tian Ding 路 Ruoyu Sun 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Metric Space Magnitude and Generalisation in Neural Networks ( Poster ) > link | Rayna Andreeva 路 Katharina Limbeck 路 Bastian Rieck 路 Rik Sarkar 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Non-linear Embeddings in Hilbert Simplex Geometry ( Poster ) > link | Frank Nielsen 路 Ke Sun 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Product Manifold Learning with Independent Coordinate Selection ( Poster ) > link | Jesse He 路 Tristan Brug猫re 路 Gal Mishne 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Breaking the Structure of Multilayer Perceptrons with Complex Topologies ( Poster ) > link | Tommaso Boccato 路 Matteo Ferrante 路 Andrea Duggento 路 Nicola Toschi 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Data, Geometry and Homology ( Poster ) > link | Jens Agerberg 路 Wojciech Chacholski 路 Ryan Ramanujam 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Differentially Private Clustering in Data Streams ( Poster ) > link | Alessandro Epasto 路 Tamalika Mukherjee 路 Peilin Zhong 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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GRIL: A 22-parameter Persistence Based Vectorization for Machine Learning ( Poster ) > link | Cheng Xin 路 Soham Mukherjee 路 Shreyas N. Samaga 路 Tamal Dey 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Hyperbolic Sliced-Wasserstein via Geodesic and Horospherical Projections ( Poster ) > link | Cl茅ment Bonet 路 Laetitia Chapel 路 Lucas Drumetz 路 Nicolas Courty 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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On the Ability of Graph Neural Networks to Model Interactions Between Vertices ( Poster ) > link | Noam Razin 路 Tom Verbin 路 Nadav Cohen 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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A Geometric Insight into Equivariant Message Passing Neural Networks on Riemannian Manifolds ( Poster ) > link | Ilyes Batatia 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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ReLU Neural Networks, Polyhedral Decompositions, and Persistent Homology ( Poster ) > link | Yajing Liu 路 Christina Cole 路 Chris Peterson 路 Michael Kirby 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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An ML approach to resolution of singularities ( Poster ) > link | Gergely Berczi 路 Honglu Fan 路 Mingcong Zeng 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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On Explicit Curvature Regularization in Deep Generative Models ( Poster ) > link | Yonghyeon Lee 路 Frank Chongwoo Park 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Topological Feature Selection ( Poster ) > link | Antonio Briola 路 Tomaso Aste 馃敆 |
Fri 7:00 p.m. - 8:00 p.m.
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Poster Session 2
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Poster Session
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馃敆 |