Quick Birkhoff-von Neumann Decomposition Algorithm for Agile All-Photonic Network Cores
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Bibliographic record
Abstract
This paper presents a simple and efficient algorithm for timeslot allocation in agile all-photonic network (AAPN) cores working under a time division multiplexing (TDM) mode, called the Quick Birkhoff-von Neumann Decomposition Algorithm (QBvN). The time complexity of QBvN can reach O(Nn) for a N×N switch with a TDM frame size of n. Another version of QBvN, called QBvN-cover, is also proposed to provide guaranteed scheduling with configuration overhead. For QBvN-cover, the bound of the number of generated switch configurations is provided and hence the necessary speedup for AAPN cores. Under stream-type, continuous bit rate traffic, QBvN-cover shows superior delay performance compared with other heuristics in the literature. Although QBvN-cover is unlike other BvN algorithms that use a service matrix as input, we show that service matrix construction from traffic demand is necessary for QBvN-cover to perform well.
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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 | 0.000 |
| 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