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Volume 334: Topology, Algebra, and Geometry in Data Science (TAG-DS 2026), 18-20 August 2026, Boston, Massachusetts, USA

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Editors: Eddie Berman, Guillermo Bernárdez, Samantha Chen, Alex Cloninger, Timothy Doster, Tegan Emerson, J. Elisenda Grigsby, Henry Kvinge, Hannah Lawrence, Tim Marrinan, Audun Myers, Mathilde Papillon, Behrooz Tahmasebi, Lev Telyatnikov, Robin Walters, Melanie Weber, YuQing Xie, Eric Yeats

[bib][citeproc]

Scalably computing metric magnitude

Steve Huntsman, Jewell B. Thomas, Cynthia Ukawu; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):4-24

Encoding the Euler Characteristic Transform

Nello Blaser, Odin Hoff Gardaa, Lars M. Salbu, Elena Xinyi Wang, Bastian Rieck; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):25-42

Topology of a Smile: Persistent Homology in Dental Imaging

Leon Dahlmeier, Sara Kalisnik Hintz, Albert Mehl, Bastian Rieck; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):43-58

Reassessing Muon for Matrix Factorization

Ali Parviz, Gal Mishne, Alex Cloninger; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):59-86

Dimensionless Controls of Plasticity Under Alternating Tasks: From Evolutionary Biology to Continual Learning

Owen Skriloff; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):87-107

Even with AI, Bijection Discovery is Still Hard: The Opportunities and Challenges of OpenEvolve for Novel Bijection Construction

Helen Jenne, Davis Brown, Jesse He, Max Vargas, Henry Kvinge; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):108-122

A Weisfeiler–Leman Characterization of Global-Attention Graph Transformers for Mixed-Integer Linear Programs

Md Abrar Jahin, Craig A Knoblock, Jay Pujara; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):123-142

Finsler Geometry, Graph Neural Networks, and You

T Mitchell Roddenberry, Richard Baraniuk; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):143-164

Probing the effect of data representation on transformer learning

Sarah McGuire Scullen, Henry Kvinge, Helen Jenne; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):165-189

Freeze, Diffuse, Decode: Task-Aware Adaptation of Transformer Embeddings for Antimicrobial Peptide Design

Pankhil Gawade, Adam Izdebski, Myriam Lizotte, Kevin R. Moon, Jake Slater Rhodes, Guy Wolf, Ewa Szczurek; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):190-210

Tracking Representation Dynamics in Large Language Models with Persistent Homology

Naman Malhotra, Jay Ambadkar, Abhinav Gupta, Kushal Kasivel, Abbas Schwarz, Kamillo Ferry, Anthea Monod; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):211-245

Scalable Graph Coreset Selection via Greedy Sampling

Zhaiming Shen, Alex Cloninger; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):246-261

The Provable Unsupervised Learning Rule Known as Batch Normalization

Rudolf H. Riedi, Randall Balestriero, Richard Baraniuk; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):262-278

Local Manifold Explanations with Tangent Space Regression

Jesse He, Yusu Wang, Gal Mishne; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):279-297

Look Before You Lift: Visual and Quantitative Diagnostics for Topological Deep Learning

Mathilde Papillon, Guillermo Bernardez, Álvaro Ballón Barreiro, Marco Montagna, Rémi Devaux, Antoine JARDIN, Nina Miolane; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):298-315

Topological Simplification in Predictive Coding Networks

Adam Shaw, Jiayu Li, Michael Sperling, Michael Kim, Alvin Jin; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):316-332

Disentanglement by Prediction: A Twin Autoencoder with a Factored Latent Traveler

Tegan Emerson, Audun D Myers, Sarah McGuire Scullen, Tim Marrinan; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):333-344

GrAE ScaLE: Grassmannian AutoEncoder for Scalable Linearly-invariant Embeddings

Tegan Emerson, Tim Marrinan, Audun D Myers, Sarah McGuire Scullen; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):345-363

Loss Landscape Geometry of Partial Differential Equation Emulators: Or, Symmetry Learning via Gradient Alignment

James Amarel, Robyn Miller, Nicolas Hengartner, Benjamin Migliori, Emily Taylor, Alexei Skurikhin, Earl Lawrence, Gerd J. Kunde; Proceedings of the 2nd Conference on Topology, Algebra, and Geometry in Data Science(TAG-DS 2026), PMLR 334(2):364-386

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