Propriétés dans L<sup>2</sup>et estimation des processus purement bilinéaires et strictement superdiagonaux à coefficients périodiques
Bibliographic record
Abstract
Les auteurs considèrent la sous-classe des processus purement bilinéaires et strictement superdiagonaux à coefficients périodiques. En effet, grǎce à un large potentiel d'application couvrant notamment l'économie et la finance, les modèles bilinéaires à coefficients dépendant du temps sont récemment apparus dans la littérature statistique des séries temporelles. Les auteurs donnent des conditions assurant l'existence d'une solution dans L2 non-anticipative, l'inversibilité et l'existence de moments d'ordre supérieur. Le problème de l'estimation des paramètres est également traité par une approche basée sur les moments empiriques d'ordre deux et trois. Les auteurs illustrent numériquement leurs résultats théoriques par le biais d'expériences de Monte-Carlo.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.010 | 0.037 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.002 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.003 | 0.003 |
| Open science | 0.002 | 0.002 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.004 | 0.001 |
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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".