Projection de hájek et polynômes de bernstein
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
Abstract Les auteurs établissent la forme explicite, sous l'hypothèse de bruit blanc, de la représentation asymptotique fournie (sous forme non explicite) par le célèbre lemme de projection de Hájek (1968) pour les statistiques de rangs linéaires dans le cas des scores dits approchés. Fondée sur les polynômes de Bernstein, cette représentation est meilleure, au sens de la norme quadratique, que celle de Hájek (1961, 1962) qui est habituellement considérée. Cette représentation polynomiale permet de redémontrer les résultats classiques (normalité asymptotique et borne de Berry‐Esséen). Les simulations indiquent, par ailleurs, que la qualité de l'approximation fournie est significativement meilleure, pour les échantillons de taille finie, que celle qui résulte de la représentation traditionnelle.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.005 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it