001 Multiplication Beyond Groups: Stratified Fourier Mechanisms in Transformer Circuits arXiv Paper Z. Chen, Junaid Hasan et al. Jul 8 002 What Your Model Threw Away and Why You'll Want It Back: Masking, Fingerprinting, and Privacy from Discarded Geometry arXiv Paper Zachary P. Bradshaw Jun 17 003 Benchmarks in Leipzig arXiv Paper A. Balakin, Miklós Bóna et al. Jun 4 004 Neural Networks Provably Learn Spectral Representations for Group Composition arXiv Paper Jianliang He, Leda Wang et al. Jun 2 005 Open Problem: Separating Geometric and Algorithmic Compression via Cayley-Table Completion arXiv Paper Dongsung Huh May 28 006 The Hamilton-Jacobi Theory of Deep Learning arXiv Paper J. M. Minoza, E. F. Legara et al. May 27 007 Any-Dimensional Invariant Universality arXiv Paper Shen Yao, Eitan Levin et al. May 22 008 Oversmoothing as Representation Degeneracy in Neural Sheaf Diffusion arXiv Paper Arif Donmez, Axel Mosig et al. May 11 009 Foundation Model for Cardiac Time Series via Masked Latent Attention arXiv Paper Moritz Vandenhirtz, Samuel Ruipérez-Campillo et al. Mar 27 010 Identifiable Equivariant Networks are Layerwise Equivariant arXiv Paper Vahid Shahverdi et al. Jan 29 011 An Algebraic Representation Theorem for Linear GENEOs in Geometric Machine Learning arXiv Paper F. Conti, Patrizio Frosini et al. Jan 7 012 Series of quasi-uniform scatterings with fast search, root systems and neural network classifications arXiv Paper I. V. Netay Dec 4, 2025 013 A Differentiable Measure of Algebraic Complexity: Provably Exact Discovery of Group Structures arXiv Paper Dongsung Huh, L. Horesh et al. Nov 28, 2025 014 Representations of Cyclic Diagram Monoids arXiv Paper Jason Liu Nov 20, 2025 015 Representation Gap of the Motzkin Monoid arXiv Paper Katharina Arms Oct 8, 2025 016 Expressive Power of Implicit Models: Rich Equilibria and Test-Time Scaling arXiv Paper Jialin Liu et al. Oct 4, 2025 017 Why High-rank Neural Networks Generalize?: An Algebraic Framework with RKHSs arXiv Paper Yuka Hashimoto, Sho Sonoda et al. Sep 26, 2025 018 Fast, Convex and Conditioned Network for Multi-Fidelity Vectors and Stiff Univariate Differential Equations arXiv Paper Siddharth Rout Aug 8, 2025 019 Tensor-Tensor Products, Group Representations, and Semidefinite Programming arXiv Paper Alex Dunbar et al. Jul 17, 2025 020 On Transferring Transferability: Towards a Theory for Size Generalization arXiv Paper Eitan Levin, Yuxin Ma et al. May 29, 2025 021 The Generalized Skew Spectrum of Graphs arXiv Paper Armando Bellante, Martin Pl'avala et al. May 29, 2025 022 Representation gaps of rigid planar diagram monoids arXiv Paper Willow Stewart et al. May 9, 2025 023 Equivariant non-linear maps for neural networks on homogeneous spaces arXiv Paper Elias Nyholm, Oscar Carlsson et al. Apr 29, 2025 024 Permutation Equivariant Neural Networks for Symmetric Tensors arXiv Paper Edward Pearce-Crump Mar 14, 2025 025 Machine Learning meets Algebraic Combinatorics: A Suite of Datasets Capturing Research-level Conjecturing Ability in Pure Mathematics arXiv Paper Herman Chau, Helen Jenne et al. Mar 9, 2025 026 Learning the symmetric group: large from small arXiv Paper Max Petschack et al. Feb 18, 2025 027 Interpretable Machine Learning for Kronecker Coefficients arXiv Paper G. Butbaia, Kyu-Hwan Lee et al. Feb 17, 2025 028 Mathematical Data Science arXiv Paper Michael R. Douglas et al. Feb 12, 2025 029 Invariant Kernels: Rank Stabilization and Generalization Across Dimensions arXiv Paper Mateo Díaz et al. Feb 3, 2025 030 MatrixNet: Learning over symmetry groups using learned group representations arXiv Paper Lucas Laird, Circe Hsu et al. Jan 16, 2025 031 Symmetries-enhanced Multi-Agent Reinforcement Learning arXiv Paper Nikolaos Bousias, Stefanos Pertigkiozoglou et al. Jan 2, 2025 032 A Diagrammatic Approach to Improve Computational Efficiency in Group Equivariant Neural Networks arXiv Paper Edward Pearce-Crump, William J. Knottenbelt Dec 14, 2024 033 Big data approach to Kazhdan-Lusztig polynomials arXiv Paper Abel Lacabanne et al. Dec 2, 2024 034 Geometry of fibers of the multiplication map of deep linear neural networks arXiv Paper Simon Pepin Lehalleur, Richárd Rimányi Nov 29, 2024 035 Machine Learning Mutation-Acyclicity of Quivers arXiv Paper Kymani Armstrong-Williams, Edward Hirst et al. Nov 6, 2024 036 Hidden Activations Are Not Enough: A General Approach to Neural Network Predictions arXiv Paper Leblanc, Samuel, Aiky Rasolomanana et al. Sep 20, 2024 037 Equivariant neural networks and piecewise linear representation theory arXiv Paper Joel Gibson, Daniel Tubbenhauer et al. Aug 1, 2024 038 Whitney extensions on symmetric spaces arXiv Paper Birgit Speh et al. Jul 31, 2024 039 Deep Ridgelet Transform and Unified Universality Theorem for Deep and Shallow Joint-Group-Equivariant Machines arXiv Paper Sho Sonoda, Yuka Hashimoto et al. May 22, 2024 040 Quiver Laplacians and Feature Selection arXiv Paper Otto Sumray, Heather A. Harrington et al. Apr 10, 2024 041 Uniform $\mathcal{C}^k$ Approximation of $G$-Invariant and Antisymmetric Functions, Embedding Dimensions, and Polynomial Representations arXiv Paper Soumya Ganguly et al. Mar 2, 2024 042 Discovering Abstract Symbolic Relations by Learning Unitary Group Representations arXiv Paper Dongsung Huh Feb 26, 2024 043 Grokking Group Multiplication with Cosets arXiv Paper Dashiell Stander, Qinan Yu et al. Dec 11, 2023 044 Compact Matrix Quantum Group Equivariant Neural Networks arXiv Paper Edward Pearce-Crump Nov 10, 2023 045 Machine Learning Clifford invariants of ADE Coxeter elements arXiv Paper Siqi Chen, Pierre-Philippe Dechant et al. Sep 29, 2023 046 Machine learning assisted exploration for affine Deligne-Lusztig varieties arXiv Paper Bin Dong, Xuhua He et al. Aug 22, 2023 047 LieDetect: Detection of representation orbits of compact Lie groups from point clouds arXiv Paper Henrique Ennes et al. Jul 26, 2023 048 Graph Automorphism Group Equivariant Neural Networks arXiv Paper Edward Pearce-Crump, Knottenbelt, William J. Jul 15, 2023 049 Any-dimensional equivariant neural networks arXiv Paper Eitan Levin, M. D'iaz Jun 10, 2023 050 Machine-Learning Kronecker Coefficients arXiv Paper Kyu-Hwan Lee Jun 7, 2023 051 Seeing is Believing: Brain-Inspired Modular Training for Mechanistic Interpretability arXiv Paper Ziming Liu, Eric Gan et al. May 4, 2023 052 An Algorithm for Computing with Brauer's Group Equivariant Neural Network Layers arXiv Paper Edward Pearce-Crump Apr 27, 2023 053 Categorification of Group Equivariant Neural Networks arXiv Paper Edward Pearce-Crump Apr 27, 2023 054 Is deep learning a useful tool for the pure mathematician? arXiv Paper G. Williamson Apr 25, 2023 055 Computing equivariant matrices on homogeneous spaces for Geometric Deep Learning and Automorphic Lie Algebras arXiv Paper V. Knibbeler Mar 13, 2023 056 Fast computation of permutation equivariant layers with the partition algebra arXiv Paper Charles Godfrey, Michael Rawson et al. Mar 10, 2023 057 A Toy Model of Universality: Reverse Engineering How Networks Learn Group Operations arXiv Paper Bilal Chughtai, Lawrence Chan et al. Feb 6, 2023 058 How Jellyfish Characterise Alternating Group Equivariant Neural Networks arXiv Paper Edward Pearce-Crump Jan 24, 2023 059 An automated parameter domain decomposition approach for gravitational wave surrogates using hp-greedy refinement arXiv Paper Franco Cerino et al. Dec 16, 2022 060 Brauer's Group Equivariant Neural Networks arXiv Paper Edward Pearce-Crump Dec 16, 2022