Bibliographic record
Abstract
Chapter 3 has shown that, in order to use concise message passing in a single cluster graph for exact belief updating with a nontree BN, one must reorganize the DAG into a junction tree. Graphical representations of probabilistic knowledge result in efficiency through the exploration of conditional independence in terms of graphical separation, as seen in Chapter 2. Therefore, the reorganization needs to preserve the independence–separation relations of the BN as much as possible. This chapter formally describes how independence is mapped into separation in different graphical structures and presents algorithms for converting a DAG dependence structure into a junction tree while preserving graphical separation to the extent possible. Section 4.2 defines the graphical separation in three types of graphs commonly used for modeling probabilistic knowledge: u-separation in undirected graphs, d-separation in directed acyclic graphs, and h-separation in junction trees. The relation between conditional independence and the sufficient content of a message in concise message passing is established in Section 4.3. In Section 4.4, the concept of the independence map or I-map , which ties a graphical model to a problem domain based on the extent to which the model captures the conditional independence of the domain, is introduced. The concept of a moral graph is also introduced as an intermediate undirected graphical model to facilitate the conversion of a DAG model to a junction tree model. Section 4.5 introduces a class of undirected graphs known as chordal graphs and establishes the relation between chordal graphs and junction trees.
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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 | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.003 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.003 | 0.005 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.030 | 0.009 |
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".