On Generalized Survey Propagation: Normal Realization and Sum-Product Interpretation
Why this work is in the frame
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Bibliographic record
Abstract
A celebrated algorithmic discovery in solving constraint satisfaction problems, survey propagation (SP) and its generalization have recently demonstrated their power in areas of communications and data compression. It is known that under certain Markov random field (MRF) formalism of k-SAT problems, SP may be interpreted as an instance of belief propagation (BP). In this paper, we borrow the notion of generalized states from system theory and coding theory, and introduce a new MRF formalism - normal realization - for k-SAT problems. We show that when BP applies to this MRF, generalized SP is resulted. This new MRF formalism appears to be simpler than the existing one and the interpretation of SP as BP in this framework also appears more transparent
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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 it