All-optical log2(N, m, p) networks with wave-mixing frequency translation
Why this work is in the frame
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Bibliographic record
Abstract
We describe a general construction for space–wavelength log2(FW;m; p) networks capable of wave-mixing conversion, including previous designs proposed in the literature, where F is the number of fibers and W is the number of wavelengths per fiber. In these networks, a lightpath is converted through at most f log2W +min(m; log2 W)g cascaded conversions, with O(pF log2 W) converters. Therefore the new construction enables the design of rearrangeably and strictly nonblocking log2(FW;m;p) wavelength interchanging cross connects, respectively, with O[F log2 W(FW)1=2=2m=2] and O[F log2 Wf(FW)1=2=2m=2+mg] wave-mixing converters. It also provides a trade-off between transmission impairments and converter requirements.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.002 |
| 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