Multicasts on WDM All-Optical Butterfly Networks *
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Bibliographic record
Abstract
On the wavelength-division multiplexing (WDM) optical networks, when the number of wavelengths for realizing a set R of routing requests is beyond the number of wavelengths supported by an optical link, multiple rounds of routing for R are required. R = {(u, v)} is a set of multicasts if each source u sends a message to at least one destination v and each destination v receives a message from exactly one source u. In this paper, we propose routing algorithms for a set of multicasts on n-dimensional WDM all-optical butterfly networks. For a network with wavelength converters, we give algorithms which realize any set of multicasts by 2 wavelengths in k rounds of routing. For k = 1, the upper bound is tight to the lower bound.
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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 | 0.002 |
| 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