Grade Five Competition from the Leningrad Mathematical Olympiad
Bibliographic record
Abstract
Dans cet ouvrage, qui s’inscrit dans la série Problem Books in Mathematics chez Springer, on présente les 83 problèmes exigeants, mais stimulants qui furent administrés entre 1979 et 1992, dans le cadre de l’Olympiade mathématique de Leningrad, aux élèves de cinquième année (précision importante : le système éducatif soviétique était alors divisé en dix niveaux et l’entrée à l’école s’effectuait à l’âge de 7 ans). Traduits du russe vers l’anglais par les auteurs (la mathématicienne canadienne née en URSS Prof. Dr. Kseniya Garaschuk et Prof. Dr. Andy Liu), ces problèmes sont originaux à deux égards : (1) ils furent composés spécialement pour cette Olympiade mathématique de Leningrad; (2) ils n’avaient pas jusqu’ici fait l’objet traduction vers l’anglais aux fins de publication.
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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 | 0.002 | 0.002 |
| Meta-epidemiology (narrow) | 0.002 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.005 | 0.001 |
| Scholarly communication | 0.009 | 0.002 |
| Open science | 0.001 | 0.005 |
| Research integrity | 0.002 | 0.002 |
| Insufficient payload (model declined to judge) | 0.123 | 0.052 |
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".