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Volume 221: Topological, Algebraic and Geometric Learning Workshops 2023, 28 July 2023,

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Editors: Timothy Doster, Tegan Emerson, Henry Kvinge, Nina Miolane, Mathilde Papillon, Bastian Rieck, Sophia Sanborn

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Preface

Timothy Doster, Tegan Emerson, Henry Kvinge, Nina Miolane, Mathilde Papillon, Bastian Rieck, Sophia Sanborn; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:1-2

ICML 2023 Topological Deep Learning Challenge: Design and Results

Mathilde Papillon, Mustafa Hajij, Audun Myers, Helen Jenne, Johan Mathe, Theodore Papamarkou, Aldo Guzmán-Sáenz, Neal Livesay, Tamal Dey, Abraham Rabinowitz, Aiden Brent, Alessandro Salatiello, Alexander Nikitin, Ali Zia, Claudio Battiloro, Dmitrii Gavrilev, German Magai, Gleb Bazhenov, Guillermo Bernardez, Indro Spinelli, Jens Agerberg, Kalyan Nadimpalli, Lev Telyatninkov, Luca Scofano, Lucia Testa, Manuel Lecha, Maosheng Yang, Mohammed Hassanin, Odin Hoff Gardaa, Olga Zaghen, Paul Hausner, Paul Snopoff, Rubén Ballester, Sadrodin Barikbin, Sergio Escalera, Simone Fiorellino, Henry Kvinge, Karthikeyan Natesan Ramamurthy, Paul Rosen, Robin Walters, Shreyas N. Samaga, Soham Mukherjee, Sophia Sanborn, Tegan Emerson, Timothy Doster, Tolga Birdal, Abdelwahed Khamis, Simone Scardapane, Suraj Singh, Tatiana Malygina, Yixiao Yue, Nina Miolane; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:3-8

Learned Gridification for Efficient Point Cloud Processing

Putri A van der Linden, David W. Romero, Erik J Bekkers; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:9-20

Equivariant Self-supervised Deep Pose Estimation for Cryo EM

Gabriele Cesa, Kumar Pratik, Arash Behboodi; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:21-36

FAM: Relative Flatness Aware Minimization

Linara Adilova, Amr Abourayya, Jianning Li, Amin Dada, Henning Petzka, Jan Egger, Jens Kleesiek, Michael Kamp; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:37-49

Learning Lie Group Symmetry Transformations with Neural Networks

Alex Gabel, Victoria Klein, Riccardo Valperga, Jeroen S. W. Lamb, Kevin Webster, Rick Quax, Efstratios Gavves; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:50-59

One-Shot Neural Network Pruning via Spectral Graph Sparsification

Steinar Laenen; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:60-71

Sumformer: Universal Approximation for Efficient Transformers

Silas Alberti, Niclas Dern, Laura Thesing, Gitta Kutyniok; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:72-86

Topologically Attributed Graphs for Shape Discrimination

Justin Curry, Washington Mio, Tom Needham, Osman Berat Okutan, Florian Russold; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:87-101

Deep Networks as Paths on the Manifold of Neural Representations

Richard D Lange, Devin Kwok, Jordan Kyle Matelsky, Xinyue Wang, David Rolnick, Konrad Kording; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:102-133

Visualizing and Analyzing the Topology of Neuron Activations in Deep Adversarial Training

Youjia Zhou, Yi Zhou, Jie Ding, Bei Wang; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:134-145

Explaining Graph Neural Networks Using Interpretable Local Surrogates

Farzaneh Heidari, Perouz Taslakian, Guillaume Rabusseau; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:146-155

Bridging Equational Properties and Patterns on Graphs: an AI-Based Approach

Oguzhan Keskin, Alisia Maria Lupidi, Stefano Fioravanti, Lucie Charlotte Magister, Pietro Barbiero, Pietro Lio, Francesco Giannini; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:156-168

Unsupervised Embedding Quality Evaluation

Anton Tsitsulin, Marina Munkhoeva, Bryan Perozzi; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:169-188

A margin-based multiclass generalization bound via geometric complexity

Michael Munn, Benoit Dherin, Javier Gonzalvo; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:189-205

An Exact Kernel Equivalence for Finite Classification Models

Brian Wesley Bell, Michael Geyer, David Glickenstein, Amanda S Fernandez, Juston Moore; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:206-217

On genuine invariance learning without weight-tying

Artem Moskalev, Anna Sepliarskaia, Erik J Bekkers, Arnold W.M. Smeulders; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:218-227

Homological Neural Networks: A Sparse Architecture for Multivariate Complexity

Yuanrong Wang, Antonio Briola, Tomaso Aste; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:228-241

Metric Space Magnitude and Generalisation in Neural Networks

Rayna Andreeva, Katharina Limbeck, Bastian Rieck, Rik Sarkar; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:242-253

Non-linear Embeddings in Hilbert Simplex Geometry

Frank Nielsen, Ke Sun; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:254-266

Product Manifold Learning with Independent Coordinate Selection

Jesse He, Tristan Brugère, Gal Mishne; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:267-277

Can strong structural encoding reduce the importance of Message Passing?

Floor Eijkelboom, Erik J Bekkers, Michael M. Bronstein, Francesco Di Giovanni; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:278-288

Breaking the Structure of Multilayer Perceptrons with Complex Topologies

Tommaso Boccato, Matteo Ferrante, Andrea Duggento, Nicola Toschi; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:289-301

Global and Relative Topological Features from Homological Invariants of Subsampled Datasets

Jens Agerberg, Wojciech Chacholski, Ryan Ramanujam; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:302-312

GRIL: A $2$-parameter Persistence Based Vectorization for Machine Learning

Cheng Xin, Soham Mukherjee, Shreyas N. Samaga, Tamal K. Dey; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:313-333

Hyperbolic Sliced-Wasserstein via Geodesic and Horospherical Projections

Clément Bonet, Laetitia Chapel, Lucas Drumetz, Nicolas Courty; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:334-370

Episodic Memory Theory of Recurrent Neural Networks: Insights into Long-Term Information Storage and Manipulation

Arjun Karuvally, Peter DelMastro, Hava T Siegelmann; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:371-383

Geometrically Regularized Wasserstein Dictionary Learning

Marshall Mueller, Shuchin Aeron, James M. Murphy, Abiy Tasissa; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:384-403

The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs

Samantha Chen, Sunhyuk Lim, Facundo Memoli, Zhengchao Wan, Yusu Wang; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:404-425

A Geometric Insight into Equivariant Message Passing Neural Networks on Riemannian Manifolds

Ilyes Batatia; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:426-436

Learning To See Topological Properties In 4D Using Convolutional Neural Networks

Khalil Mathieu Hannouch, Stephan Chalup; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:437-454

ReLU Neural Networks, Polyhedral Decompositions, and Persistent Homology

Yajing Liu, Christina M Cole, Chris Peterson, Michael Kirby; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:455-468

An ML approach to resolution of singularities

Gergely Berczi, Honglu Fan, Mingcong Zeng; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:469-487

Fisher-Rao and pullback Hilbert cone distances on the multivariate Gaussian manifold with applications to simplification and quantization of mixtures

Frank Nielsen; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:488-504

On Explicit Curvature Regularization in Deep Generative Models

Yonghyeon Lee, Frank C. Park; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:505-518

MASIL: Towards Maximum Separable Class Representation for Few Shot Class Incremental Learning

Anant Khandelwal; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:519-533

Topological Feature Selection

Antonio Briola, Tomaso Aste; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:534-556

Linear Regression on Manifold Structured Data: the Impact of Extrinsic Geometry on Solutions

Liangchen Liu, Juncai He, Yen-Hsi Tsai; Proceedings of 2nd Annual Workshop on Topology, Algebra, and Geometry in Machine Learning (TAG-ML), PMLR 221:557-576

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