{"total":28,"rows":[{"id":"2509.15816","title":"On the Convergence of Muon and Beyond","created":"2025-09-19","cited_by_count":31,"area":null},{"id":"2603.28254","title":"MuonEq: Balancing Before Orthogonalization with Lightweight Equilibration","created":"2026-03-30","cited_by_count":17,"area":null},{"id":"2602.11948","title":"Insights on Muon from Simple Quadratics","created":"2026-02-12","cited_by_count":13,"area":null},{"id":"2510.21800","title":"MARS-M: When Variance Reduction Meets Matrices","created":"2025-10-20","cited_by_count":10,"area":null},{"id":"2601.19400","title":"Improved Convergence Rates of Muon Optimizer for Nonconvex Optimization","created":"2026-01-27","cited_by_count":9,"area":null},{"id":"2605.08980","title":"Muon Does Not Converge on Convex Lipschitz Functions","created":"2026-05-09","cited_by_count":9,"area":null},{"id":"2510.03871","title":"Optimal Scaling Needs Optimal Norm","created":"2025-10-04","cited_by_count":8,"area":null},{"id":"2605.06884","title":"Muon with Nesterov Momentum: Heavy-Tailed Noise and (Randomized) Inexact Polar Decomposition","created":"2026-05-07","cited_by_count":8,"area":null},{"id":"2511.06086","title":"MuonAll: Muon Variant for Efficient Finetuning of Large Language Models","created":"2025-11-08","cited_by_count":7,"area":null},{"id":"2601.22652","title":"Spectral Gradient Descent Mitigates Anisotropy-Driven Misalignment: A Case Study in Phase Retrieval","created":"2026-01-30","cited_by_count":6,"area":null},{"id":"2605.09238","title":"Intrinsic Muon: Spectral Optimization on Riemannian Matrix Manifolds","created":"2026-05-10","cited_by_count":6,"area":null},{"id":"2605.23061","title":"Anytime Training with Schedule-Free Spectral Optimization","created":"2026-05-21","cited_by_count":3,"area":null},{"id":"2606.08388","title":"The Spectral Dynamics and Noise Geometry of Muon","created":"2026-06-07","cited_by_count":3,"area":null},{"id":"2603.15059","title":"Muon Converges under Heavy-Tailed Noise: Nonconvex H\\\"{o}lder-Smooth Empirical Risk Minimization","created":"2026-03-16","cited_by_count":2,"area":null},{"id":"2605.06615","title":"When and Why SignSGD Outperforms SGD: A Theoretical Study Based on $\\ell_1$-norm Lower Bounds","created":"2026-05-07","cited_by_count":2,"area":null},{"id":"2605.18528","title":"Tight Complexity of Muon under Heavy-Tailed Noise","created":"2026-05-18","cited_by_count":2,"area":null},{"id":"2607.23777","title":"Scale Weight Decay and Train Better","created":"2026-07-26","cited_by_count":2,"area":null},{"id":"2609.30546","title":"Convergence guarantees for Muon: New parameter regimes and generalizations","created":"2026-09-24","cited_by_count":2,"area":null},{"id":"2601.07326","title":"Convergence Rate Analysis of the AdamW-style Shampoo: Unifying One-Sided and Two-Sided Preconditioning","created":"2026-01-12","cited_by_count":1,"area":null},{"id":"2607.13246","title":"Reassessing Muon for Matrix Factorization","created":"2026-07-14","cited_by_count":1,"area":null},{"id":"2607.14536","title":"Muse: Representation Geometry of Muon Beyond Normalized Momentum","created":"2026-07-16","cited_by_count":1,"area":null},{"id":"2605.05577","title":"Accelerating LMO-Based Optimization via Implicit Gradient Transport","created":"2026-05-07","cited_by_count":0,"area":null},{"id":"2605.16341","title":"Orth-Dion: Eliminating Geometric Mismatch in Distributed Low-Rank Spectral Optimization","created":"2026-05-07","cited_by_count":0,"area":null},{"id":"2609.13677","title":"Nonsmooth Optimization via Orthogonalized Momentum","created":"2026-09-12","cited_by_count":0,"area":null},{"id":"2609.33152","title":"Convergence of Practical Muon","created":"2026-09-27","cited_by_count":0,"area":null},{"id":"2610.03306","title":"Training-Loss Guarantees for Muon with Finite-Step Newton--Schulz Orthogonalization","created":"2026-10-02","cited_by_count":0,"area":null},{"id":"2610.08975","title":"The Best Optimizer Depends on Batch Size","created":"2026-10-06","cited_by_count":0,"area":null},{"id":"2610.17285","title":"Which Geometry on Which Layer? Measured Sign-Spectral Assignment in Mixed-Optimizer Training","created":"2026-10-12","cited_by_count":0,"area":null}],"next_cursor":null}