Training-Loss Guarantees for Muon with Finite-Step Newton--Schulz Orthogonalization CXQ7FKSKSB
| URI | m2://res/CXQ7FKSKSB |
|---|---|
| Kind | preprint |
| Creators | Amartya Roy, Souvik Chakraborty |
| Date | 2026-10-02 |
| Subjects | arxiv cs.LG, arxiv cs.AI, arxiv math.OC |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-10-02 |
|---|---|
| Ids | arXiv 2610.03306 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Initialization event | statement | lemma B.1 | arxiv |
| One-step residual decrease | statement | lemma 3.3 | arxiv |
| Informal statement | statement | theorem | arxiv |
| Newton--Schulz matrix bounds | statement | lemma B.3 | arxiv |
| Optimal buffer alignment per unit spectral norm | statement | proposition 3 | arxiv |
| Gradient-update alignment | statement | lemma 3.2 | arxiv |
| G4A8M1GEZ7 | statement | proposition 1 | arxiv |
| Uniform NTK and ReLU remainder | statement | lemma B.2 | arxiv |
| Classical Newton--Schulz polynomials | statement | proposition 2 | arxiv |
| Finite-time training guarantee | statement | theorem 3.1 | arxiv |
Catalogue records
- arxiv: 2610.03306 (work)