{"total":16,"rows":[{"id":"2105.02716","title":"Noether's Learning Dynamics: Role of Symmetry Breaking in Neural Networks","created":"2021-05-06","cited_by_count":50,"area":null},{"id":"2506.13018","title":"Symmetry in Neural Network Parameter Spaces","created":"2025-06-16","cited_by_count":36,"area":null},{"id":"2302.07384","title":"The Geometry of Neural Nets' Parameter Spaces Under Reparametrization","created":"2023-02-14","cited_by_count":16,"area":null},{"id":"2302.01952","title":"On a continuous time model of gradient descent dynamics and instability in deep learning","created":"2023-02-03","cited_by_count":11,"area":null},{"id":"2406.01870","title":"Understanding Stochastic Natural Gradient Variational Inference","created":"2024-06-04","cited_by_count":8,"area":null},{"id":"2311.02766","title":"Riemannian Laplace Approximation with the Fisher Metric","created":"2023-11-05","cited_by_count":7,"area":null},{"id":"2505.21404","title":"Dual Natural Gradient Descent for Scalable Training of Physics-Informed Neural Networks","created":"2025-05-27","cited_by_count":6,"area":null},{"id":"2111.11542","title":"Depth Without the Magic: Inductive Bias of Natural Gradient Descent","created":"2021-11-22","cited_by_count":5,"area":null},{"id":"2312.09361","title":"RTRA: Rapid Training of Regularization-based Approaches in Continual Learning","created":"2023-12-14","cited_by_count":5,"area":null},{"id":"2308.08305","title":"Warped geometric information on the optimisation of Euclidean functions","created":"2023-08-16","cited_by_count":3,"area":null},{"id":"2505.24665","title":"Learning Geometry and Topology via Multi-Chart Flows","created":"2025-05-30","cited_by_count":3,"area":null},{"id":"2411.06278","title":"A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations","created":"2024-11-09","cited_by_count":2,"area":null},{"id":"2504.15399","title":"Improving Learning to Optimize Using Parameter Symmetries","created":"2025-04-21","cited_by_count":2,"area":null},{"id":"2401.01579","title":"An Invariant Information Geometric Method for High-Dimensional Online Optimization","created":"2024-01-03","cited_by_count":0,"area":null},{"id":"2504.19259","title":"Convergence Properties of Natural Gradient Descent for Minimizing KL Divergence","created":"2025-04-27","cited_by_count":0,"area":null},{"id":"2607.07623","title":"Higher-Order Geometric Updates for Levenberg-Marquardt Method via Riemann Normal Coordinates","created":"2026-07-08","cited_by_count":0,"area":null}],"next_cursor":null}