Bibliographic record
Abstract
In preference-based constrained optimization problems, helping users by providing the most preferable feasible outcome is crucial. The Lexicographic Preference Tree (LP- tree) and the Conditional Preference Network (CP-net) are two fundamental graphical models to represent and reason about user's qualitative preferences. In this paper, we extend the LP- tree with a set of hard feasibility constraints, and then we propose a recursive backtrack search algorithm that we call Search-LP to find the most preferable feasible outcome for the Constrained LP-tree. Search-LP instantiates the variables with respect to a hierarchical order defined by the LP-tree. Given that the LP-tree represents a total order over the outcomes, Search-LP simply returns the first feasible outcome. We prove that this returned outcome is also preferable to every other feasible outcome. The main advantage of Search-LP is that it does not require dominance testing (the task of comparing two outcomes using preferences) to find the optimal solution(s), while dominance testing is a very expensive operation in the case of Constrained CP-nets.
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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 | 0.010 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.002 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.003 |
| Insufficient payload (model declined to judge) | 0.018 | 0.002 |
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".