| Token bounds and parameter sensitivity of the four-attention-block network | statement | lemma E.8 | arxiv |
| Episode-level KL control of integrated score error | statement | proposition D.4 | arxiv |
| Clipping error for the scaled score | statement | lemma E.5 | arxiv |
| Finite-episode score learning with variance-balanced DSM | statement | theorem F.2 | arxiv |
| Uniform upper and matching lower bounds for finite-prompt task uncertainty | statement | theorem H.1 | arxiv |
| Randomized time-grid bound for at most $M$ updates | statement | corollary G.6 | arxiv |
| Transformer size and covering numbers | statement | proposition E.7 | arxiv |
| Sensitivity of scaled dot-product attention | statement | lemma E.2 | arxiv |
| 8PHPBXT6KC | statement | corollary 3.3 | arxiv |
| Exact reverse-score dynamics on a positive-time interval | statement | lemma G.4 | arxiv |
| Conditional early-stopping error bound | statement | corollary G.2 | arxiv |
| Scaled-score bound and truncation error | statement | lemma D.1 | arxiv |
| Likelihood and conditional-density regularity | statement | lemma D.2 | arxiv |
| Normalized exponential families | example | example I.5 | arxiv |
| H\"older early-stopping error bound on the cube | statement | lemma G.1 | arxiv |
| Normalized OU-basis regularity | statement | lemma D.3 | arxiv |
| Fixed-dimensional H\"older approximation by ReLU networks | statement | lemma E.3 | arxiv |
| Prompt-generating process | definition | definition 2.1 | arxiv |
| Prompt-conditioned score Transformer | definition | definition E.1 | arxiv |
| Smoothly varying multimodal mixtures | example | example I.4 | arxiv |
| a latent KL modulus to one-step prediction | statement | lemma H.3 | arxiv |
| Posterior averaging bound | statement | lemma H.2 | arxiv |
| Gaussian-tail bounds for the selected radii | statement | lemma G.7 | arxiv |
| Four-block Transformer construction | statement | lemma E.1 | arxiv |
| N2ES9GHS6M | statement | theorem G.8 | arxiv |
| Time-local OU-basis approximation | statement | lemma E.4 | arxiv |
| Q9VNP43EB1 | statement | theorem 3.2 | arxiv |
| Smooth perturbations of the uniform density | example | example I.3 | arxiv |
| Finite-energy KL bound for diffusions with matched noise | statement | lemma G.3 | arxiv |
| Randomized time-grid discretization bound | statement | proposition G.5 | arxiv |
| SHG3KRBZ8M | statement | theorem 3.1 | arxiv |
| Integrated score approximation by the Transformer class | statement | proposition E.6 | arxiv |
| Smoothly varying conditional output densities | example | example I.2 | arxiv |
| Smoothly varying sample densities | example | example I.1 | arxiv |
| Exact variance-balanced DSM excess-risk identity | statement | proposition C.1 | arxiv |
| Bias from clipping Gaussian DSM labels | statement | proposition F.1 | arxiv |
| Task-conditional generation at the sharp prompt rate | statement | corollary H.4 | arxiv |
