Dynamics to decision: A mathematical theory of Lyapunov spectra and decision boundaries in deep classifiers J144J3ANFZ
| URI | m2://res/J144J3ANFZ |
|---|---|
| Kind | preprint |
| Creators | Shirin Panahi, Amirhossein Nazerian, Ali Pezeshki |
| Date | 2026-09-30 |
| Subjects | arxiv cs.LG, arxiv cs.SY, arxiv eess.SY, arxiv math.DS |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-09-30 |
|---|---|
| Ids | arXiv 2609.39190 |
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 |
|---|---|---|---|
| Task-aligned hidden FTMLE localization | statement | proposition 5.19 | arxiv |
| Posterior, boundary, and spectral reduction | statement | proposition 3.9 | arxiv |
| Fine-tuning input-to-representation classification | statement | theorem 5.20 | arxiv |
| Binary input-to-probability Gaussian classes | statement | theorem 3.7 | arxiv |
| Normal FTMLE ridge | definition | definition 2.1 | arxiv |
| Multiclass input-to-probability Gaussian simplex | statement | theorem 3.12 | arxiv |
| Boundary-normal leading direction | statement | proposition 3.11 | arxiv |
| Recovery by proper losses | statement | lemma 2.3 | arxiv |
| Local signed-distance posterior criterion | statement | proposition 3.8 | arxiv |
| MSE input-to-logit Gaussian classification | statement | theorem 4.15 | arxiv |
| Task-orthogonal off-boundary expansion | example | example 5.18 | arxiv |
| CE-logit in the Gaussian classification | statement | corollary 4.16 | arxiv |
| Three-class Gaussian simplex | statement | corollary 3.14 | arxiv |
Catalogue records
- arxiv: 2609.39190 (work)