Preface

Francisco Acosta, Simone Azeglio, Chase van de Geijn, Christian Shewmake, Sophia Sanborn, Nina Miolane; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:i-vii

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Representational Homomorphism Error Predicts Compositional Generalization In Language Models

Zhiyu An, Wan Du; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1-12

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Koopman Autoencoders Learn Neural Representation Dynamics

Nishant Suresh Aswani, Saif Jabari; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:13-28

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On neural circuits of working memory sequence permutation: optimizing circuit architectures via Cayley graphs

Kevin Bien, Junfeng Zuo, Wenhao Zhang; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:29-48

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Emergent Riemannian geometry over learning discrete computations on continuous manifolds

Julian Brandon, Angus Chadwick, Arthur Pellegrino; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:49-72

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Tracking Memorization Geometry throughout the Diffusion Model Generative Process

Jonathan Brokman, Itay Gershon, Omer Hofman, Guy Gilboa, Roman Vainshtein; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:73-86

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Neural Fields Meet Attention

Kalyan Cherukuri, Aarav Lala; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:87-116

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Geometric Priors for Generalizable World Models via Vector Symbolic Architecture

William Youngwoo Chung, Calvin Yeung, Hansen Lillemark, Zhuowen Zou, Xiangjian Liu, Mohsen Imani; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:117-132

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Logit-Based Losses Limit the Effectiveness of Feature Knowledge Distillation

Nick Cooper, Lijun Chen, Sailesh Dwivedy, Danna Gurari; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:133-159

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Topological Signatures of Altered Brain Network Centrality in ADHD: A TDA Mapper Study

Ali Nabi Duman; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:160-173

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Contrastive Learning with Latent Tension Regularization for Tight Orbits

Ritwik Ghosal; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:174-199

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Why all roads don’t lead to Rome: Representation geometry varies across the human visual cortical hierarchy

Arna Ghosh, Zahraa Chorghay, Shahab Bakhtiari, Blake Aaron Richards; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:200-212

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The Geometry of Cortical Computation: Manifold Disentanglement and Predictive Dynamics in VCNet

Brennen Hill, Zhang Xinyu, Timothy Putra Prasetio; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:213-224

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Covering Relations in the Poset of Combinatorial Neural Codes

Trong-Thuc Trang, R. Amzi Jeffs; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:225-242

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Do Masked Autoencoders Learn a Human-Like Geometry of Neural Representation? Divergence and Convergence Across Brains and Machines During Naturalistic Vision

Hamed Karimi, Stefano Anzellotti; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:243-262

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Hilbert geometry of the symmetric positive-definite bicone

Jacek Karwowski, Frank Nielsen; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:263-281

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Learning rate collapse prevents training recurrent neural networks at scale

Bariscan Kurtkaya, Mehmet Harmanli, Alperen Cimen, Andy Alexander, Nina Miolane, Fatih Dinc, Yucel Yemez; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:282-297

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Learning from Frustration: Torsor CNNs on Graphs

Daiyuan Li, Shreya Arya, Robert Ghrist; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:298-315

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Dual-Stream EEG Decoding for 3D Visual Perception

Ninon Lizé Masclef, Taisija Demcenko, Antonella Catanzaro, Nataliya Kosmyna; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:316-332

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Exact Learning Dynamics of In-Context Learning in Linear Transformers and Its Application to Non-Linear Transformers

Nischal Mainali, Lucas Teixeira; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:333-368

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Homological Representation Learning for Molecular Graphs

Yoshihiro Maruyama, Arisa Yasuda; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:369-380

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K-theoretic Persistent Cohomology

Yoshihiro Maruyama, Arisa Yasuda; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:381-391

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Learning representations on Lp hyperspheres: The equivalence of loss functions in a MAP approach

Nicolas Michel, Jean-François BERCHER, Toshihiko Yamasaki; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:392-414

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LFMA: Parameter-Efficient Fine-Tuning via Layerwise Fourier Masked Adapter with Top-k Frequency Selection

Junyoung Park, Soo Yong Kim, Sang Heon Lee, Jeonghwan Lee; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:415-427

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Compositional Symmetry as Compression: Lie-Pseudogroup Structure in Algorithmic Agents

Giulio Ruffini; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:428-444

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Mixed Monotonicity Reachability Analysis of Neural ODE: A Trade-Off Between Tightness and Efficiency

Abdelrahman Sayed Sayed, Pierre-Jean Meyer, Mohamed Ghazel; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:445-477

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Sheaf Cohomology of Linear Predictive Coding Networks

Jeffrey Seely; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:478-491

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Event2Vec: A Geometric Approach to Learning Composable Representations of Event Sequences

Antonin Sulc; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:492-512

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Curvature Dynamic Black-box Attack: revisiting adversarial robustness via dynamic curvature estimation

Peiran Sun; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:513-528

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Causal Geometry of Batch Size and Generalisation

Zhongtian Sun, Anoushka Harit, Pietro Lio; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:529-553

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Beyond Parallelism: Synergistic Computational Graph Effects in Multi-Head Attention

Haitz Sáez de Ocáriz Borde; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:554-569

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Geometry matters: insights from Ollivier Ricci Curvature and Ricci Flow into representational alignment

Nahid Torbati, Michael Gaebler, Simon M. Hofmann, Nico Scherf; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:570-596

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A Variational Manifold Embedding Framework for Nonlinear Dimensionality Reduction

John J. Vastola, Samuel J. Gershman, Kanaka Rajan; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:597-621

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Complete Characterization of Gauge Symmetries in Transformer Architectures

Hong Wang, Kelly Wang; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:622-663

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Gauge Fiber Bundle Geometry of Transformers

Hong Wang, Kelly Wang; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:664-684

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Curvature Meets Bispectrum: A Correspondence Theory for Transformer Gauge Invariants

Hong Wang, Kelly Wang; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:685-715

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Balancing Fairness and Accuracy in Graph Learning via Fairness-Constrained Rewiring

Jason Wang, Lukas Fesser, Melanie Weber; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:716-735

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Curvature Estimation on Data Manifolds via Diffusion-augmented Sampling

Jason Wang, Bobak Kiani, Melanie Weber; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:736-769

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Neural Manifold Geometry Encodes Feature Fields

Julian Yocum, Cameron Allen, Bruno Olshausen, Stuart Russell; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:770-791

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How does training shape the Riemannian geometry of neural network representations?

Jacob A Zavatone-Veth, Sheng Yang, Julian Alex Rubinfien, Cengiz Pehlevan; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:792-883

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Preface

Simone Azeglio, Bahareh Tolooshams, Chase van de Geijn, Christian Shewmake, Sophia Sanborn, Nina Miolane; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:viii-xii

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Harmformer: Harmonic Networks Meet Transformers for Continuous Roto-Translation Equivariance

Tomáš Karella, Adam Harmanec, Jan Kotera, Jan Blažek, Filip Šroubek; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:884-919

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RelWire: Metric Based Rewiring

Rishi Sonthalia, Anna C. Gilbert, Matthew Gentry Durham; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:920-947

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Hidden Holes: topological aspects of language models

Stephen Fitz, Peter Romero, Jiyan Jonas Schneider; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:948-980

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CantorNet: A Sandbox for Testing Geometrical and Topological Complexity Measures

Michal Lewandowski, Hamid Eghbalzadeh, Bernhard A. Moser; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:981-995

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Theoretical Insights into Line Graph Transformation on Graph Learning

Fan Yang, Xingyue Huang; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:996-1016

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Counterfactual Explanations via Riemannian Latent Space Traversal

Paraskevas Pegios, Aasa Feragen, Andreas Abildtrup Hansen, Georgios Arvanitidis; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1017-1032

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Probabilistic Nested Homogeneous Spaces for Dimensionality Reduction

Xiran Fan, Baba C. Vemuri; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1033-1047

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A Cosmic-Scale Benchmark for Symmetry-Preserving Data Processing

Julia Balla, Siddharth Mishra-Sharma, Carolina Cuesta-Lazaro, Tommi Jaakkola, Tess Smidt; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1048-1066

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Graph Neural Networks Uncover Geometric Neural Representations in Reinforcement-Based Motor Learning

Federico Nardi, Jinpei Han, Shlomi Haar, A. Aldo Faisal; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1067-1085

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An Informational Parsimony Perspective on Probabilistic Symmetries

Hippolyte Charvin, Nicola Catenacci Volpi, Daniel Polani; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1086-1120

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Visualizing Loss Functions as Topological Landscape Profiles

Caleb Geniesse, Jiaqing Chen, Tiankai Xie, Ge Shi, Yaoqing Yang, Dmitriy Morozov, Talita Perciano, Michael W. Mahoney, Ross Maciejewski, Gunther H. Weber; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1121-1135

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BiEquiFormer: Bi-Equivariant Representations for Global Point Cloud Registration

Stefanos Pertigkiozoglou, Evangelos Chatzipantazis, Kostas Daniilidis; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1136-1161

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Geometric Machine Learning on EEG Signals

Benjamin J. Choi; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1162-1180

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Klein Model for Hyperbolic Neural Networks

Yidan Mao, Jing Gu, Marcus C. Werner, Dongmian Zou; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1181-1205

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Dynamical symmetries in the fluctuation-driven regime: an application of Noether’s theorem to noisy dynamical systems

John J. Vastola; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1206-1218

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Storing overlapping associative memories on latent manifolds in low-rank spiking networks

William F. Podlaski, Christian K. Machens; Proceedings of the 4th (2025) and 3rd (2024) NeurIPS Workshops on Symmetry and Geometry in Neural Representations, PMLR 282:1219-1235

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