Copula Active Subspaces II: Error Decomposition, A Posteriori Estimation, and Sharpness of the Bounds 81YXGYETE4
| URI | m2://res/81YXGYETE4 |
|---|---|
| Kind | preprint |
| Creators | Joshua Chen, Peter Jan van Leeuwen |
| Date | 2026-10-10 |
| Subjects | arxiv stat.ME, arxiv math.ST, arxiv stat.CO, arxiv stat.ML, arxiv stat.TH |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-10-10 |
|---|---|
| Ids | arXiv 2610.14498 |
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 |
|---|---|---|---|
| Stage-2 KL divergence contribution | statement | theorem 4 | arxiv |
| A priori bound | statement | proposition 6 | arxiv |
| Stage-1 KL divergence contribution | statement | theorem 3 | arxiv |
| Per-mode variance comparison | statement | corollary 12 | arxiv |
| Exact error equation for a data-dependent regularizer | statement | lemma 11 | arxiv |
| Expected Fisher error with a data-dependent regularizer | statement | theorem 13 | arxiv |
| Finite-sample bound on the trace of the estimated score | statement | corollary 8 | arxiv |
| A posteriori estimate of the reduced-density and marginal divergences | statement | corollary 7 | arxiv |
| Stage-1 score-covariance rate | statement | lemma 10 | arxiv |
| N1F5B5B0NN | statement | lemma 14 | arxiv |
| Decomposition of the KL divergence by estimation stage | statement | proposition 1 | arxiv |
| Hierarchical estimate of the Hermite truncation term | statement | proposition 9 | arxiv |
| The constrained estimate satisfies a log-Sobolev inequality | statement | proposition 5 | arxiv |
| Stage-1 bounds | statement | proposition 2 | arxiv |
Catalogue records
- arxiv: 2610.14498 (work)