Detectability of multiple link failures in multi-agent systems under the agreement protocol
Why this work is in the frame
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Bibliographic record
Abstract
The detectability of single link failures in a multi-agent network under the agreement protocol has been the subject of a previous study. This work expands the available results by considering the effect of multiple link losses. The analytical results offer sufficient graphical conditions for the detectability of a group of edges in the network information flow digraph. To this end, a powerful extension of the all-minors matrix tree theorem in algebraic graph theory is proved which relates the minors of the Laplace-transformed Laplacian of a directed graph to the number of shortest paths between its vertices. The results reveal an intricate relationship between the detectability of link failures and the inter-nodal paths in the network digraph.
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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 | 0.002 | 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 | 0.000 |
| Open science | 0.001 | 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