Persistent Gaussian Perturbations Prevent Oversmoothing in Recurrent Graph Neural Networks EG1XXNSTXX
| URI | m2://res/EG1XXNSTXX |
|---|---|
| Kind | preprint |
| Creators | Mostafa Haghir Chehreghani |
| Date | 2026-07-30 |
| Subjects | arxiv cs.LG, arxiv cs.AI, arxiv cs.IT, arxiv math.IT |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-07-30 |
|---|---|
| Ids | arXiv 2607.28185 |
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 |
|---|---|---|---|
| 3N4BQN5ZCD | statement | proposition 3.2 | arxiv |
| Ergodicity of the projected Markov chain | statement | theorem 5.1 | arxiv |
| Projected Gaussian noise | statement | lemma 3.1 | arxiv |
| Uniform boundedness of second moments | statement | lemma 5.5 | arxiv |
| 83KJ918WA1 | statement | corollary 5.7 | arxiv |
| Escape from oversmoothing under contractive noisy recurrent dynamics | statement | theorem 5.6 | arxiv |
| Contractive variance estimate | statement | lemma 5.3 | arxiv |
| Dirichlet energy | definition | definition 3.1 | arxiv |
| Projected dynamics define a Markov chain | statement | proposition 4.1 | arxiv |
| Escape from oversmoothing | definition | definition 3.3 | arxiv |
| KZK62V2GD0 | statement | lemma 3.3 | arxiv |
| Exact stationary second-moment identity | statement | proposition 5.2 | arxiv |
| Oversmoothing | definition | definition 3.2 | arxiv |
| Positive lower bound on the stationary variance | statement | theorem 5.4 | arxiv |
Catalogue records
- arxiv: 2607.28185 (work)