Symmetry Breaking

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  1. Eigenvalues of the Hessian in Deep Learning: The Origin of Symmetry and Its Breaking

    Oct 7, 2026Yossi ArjevaniSymmetry BreakingDeep Learning Optimization

    Yossi Arjevani

  2. Symmetry-Breaking De Novo Crystal Generation via Markovian Jump Diffusion

    Aug 13, 2026Van Khoa Nguyen, Alexandros KalousisSymmetry BreakingMaterials Science

    HES-SO Geneva · University of Geneva

  3. LeanCSP: A Framework for Certifying Constraint Reformulation and Solving in Lean

    Jul 30, 2026Pablo Manrique, Stefan SzeiderSymmetry BreakingFormal Verification

    Algorithms and Complexity Group TU Wien, Vienna, Austria

  4. Automorphism-Induced Non-Canonicity in Top-k Explanations of Graph Neural Networks

    Jul 28, 2026Xin Xu, Siru Tao, Kaizhen TanGradient-Based AttributionSymmetry Breaking

    Carnegie Mellon University

  5. Beyond ICA: Identifiability by Symmetry Breaking

    Jul 25, 2026Pengzhou WuLatent Variable ModelsRepresentation Identifiability

    SANKEN, University of Osaka

  6. Explaining Near-Zero Hessian Eigenvalues Through Approximate Symmetries in Neural Networks

    Jul 8, 2026Marcel Kühn, Bernd RosenowReLU Neural NetworksSymmetry Breaking

    Institut für Theoretische Physik, Universität Leipzig, 04103 Leipzig, Germany · ScaDS.AI Dresden/Leipzig, Universität Leipzig, 04105 Leipzig, Germany

  7. Geometry-Aware MCTS for Extremal Problems in Combinatorial Geometry

    Jun 24, 2026Luoning Zhang, Xu Zhuang, Tianhao Wang +1Symmetry BreakingCombinatorial Optimization

    Department of Mathematics, University of California, Irvine

  8. Gated MLPs as Symmetry-Broken Rank-1 Bilinear Attention

    Jun 20, 2026Nathan BreslowMultilayer PerceptronsSymmetry Breaking

  9. Analyzing Stream Collapse in Hyper-Connections: From Diagnosis to Mitigation

    Jun 2, 2026Ekaterina Alimaskina, Gleb Molodtsov, Aleksandr BeznosikovTransformerHyper-Connections

    1MIRAI, Moscow, Russia · 2BRAIn Lab, Moscow, Russia · 3Yandex Research, Moscow, Russia +1

  10. Gradient Descent with Large Step Size Restores Symmetry in Deep Linear Networks with Multi-Pathway

    May 29, 2026Hee-Sung Kim, Sungyoon LeeEdge of StabilitySymmetry Breaking

    Department of Computer Science, Hanyang University, Seoul, Korea.

  11. Solving Combinatorial Counting Problems with Weighted First-Order Model Counting

    May 24, 2026Yuanhong Wang, Juhua Pu, Yuxu Zhou +2Symmetry Breaking

    School of Artificial Intelligence, Jilin University, Changchun, China · State Key Laboratory of Complex & Critical Software Environment, Beihang University, China · National Research Center for Educational Materials, China +3

  12. Feature Lottery? A Bifurcation Theory of Concept Emergence

    May 22, 2026Fuming YangDynamical SystemsRepresentation Learning

    MIT

  13. Learning Developmental Scaffoldings to Guide Self-Organisation

    May 14, 2026Milton L. Montero, Elias Najarro, Jakob Schauser +1Neural Cellular AutomataSymmetry Breaking

    IT University of Copenhagen, Denmark · University of Copenhagen, Denmark · Sakana AI, Japan

  14. Spontaneous symmetry breaking and Goldstone modes for deep information propagation

    May 14, 2026Nabil Iqbal, T. Anderson Keller, Yue Song +2Symmetry BreakingEquivariant Neural Networks

    Dept. of Mathematical Sciences, Durham University · Kempner Institute, Harvard University · College of AI, Tsinghua University +2

  15. Broken-symmetry shape discrimination on a driven Duffing ring

    May 8, 2026Kaspar Anton SchindlerDynamical SystemsSymmetry Breaking

    Sleep-Wake-Epilepsy-Center, Department of Neurology, Inselspital, Bern University Hospital, University of Bern, Bern, Switzerland

  16. Why Geometric Continuity Emerges in Deep Neural Networks: Residual Connections and Rotational Symmetry Breaking

    May 6, 2026Kyungwon Jeong, Won-Gi Paeng, Honggyo SuhSymmetry BreakingGeometric Representation Learning

    Hyntel

  17. Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models

    May 6, 2026Yifan F. Zhang, Fangjun Hu, Guangkuo Liu +2Diffusion TransformerSymmetry Breaking

    Department of Electrical and Computer Engineering Princeton University Princeton, NJ 08544, USA · QuEra Computing Inc. 1284 Soldiers Field Road, Boston, MA 02135, USA · JILA and Department of Physics University of Colorado Boulder Boulder, CO 80309, USA +1

  18. Rank, Head-Channel Non-Identifiability, and Symmetry Breaking: A Precise Analysis of Representational Collapse in Transformers

    Apr 26, 2026Giansalvo CirrincioneTransformer InterpretabilityRepresentation Collapse

    aLaboratoire LTI, Université de Picardie Jules Verne, Chemin du Thil, 80025 Amiens, France

  19. Breaking Data Symmetry is Needed For Generalization in Feature Learning Kernels

    Mar 31, 2026Marcel Tomàs Bernal, Neil Rohit Mallinar, Mikhail BelkinSymmetry BreakingKernel Methods

    CFIS UPC · UC San Diego

  20. Revisiting the Broken Symmetry Phase of Solid Hydrogen: A Neural Network Variational Monte Carlo Study

    Dec 19, 2025Shengdu Chai, Chen Lin, Xinyang Dong +4Crystal Structure PredictionSymmetry Breaking

    Interdisciplinary Center for Theoretical Physics and Information Sciences (ICTPIS), Fudan University, Shanghai 200433, China · Shanghai Artificial Intelligence Laboratory, Shanghai 200232, China · Department of Engineering, University of Oxford, Oxford OX1 4BH, UK +4