ISF et BDIFFMIN - Fonctions Matlab pour l'arrangement d'hyperplans et le calcul du B-différentiel du minimum par composante de deux fonctions vectorielles affines
Bibliographic record
Abstract
The Matlab function Bdiffmin aims at computing the B-differential of the componentwise minimum of two affine vector functions. To realize this task, Bdiffmin calls the Matlab function Isf, which has been designed to determine the chambers of an arrangement of hyperplanes having a point in common. The sign vectors computed by the latter function can be used to solve a number of other enumeration problems such as determining the signed feasibility of strict inequality systems, listing the orthants encountered by the null space of a matrix, itemizing the pointed cones generated by a set of vectors and their inverses, giving the bipartitions of a finite set of points that can be separated by an affine hyperplane and many others.
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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 | 0.003 | 0.011 |
| Meta-epidemiology (narrow) | 0.003 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.002 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.004 | 0.003 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.001 | 0.004 |
| Insufficient payload (model declined to judge) | 0.032 | 0.011 |
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".