General models and a reduction design technique for FPGA switch box designs
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Bibliographic record
Abstract
An FPGA switch box is said to be hyper-universal if it is detailed-routable for any set of multipin nets specifying a routing requirement over the switch box. Comparing with the known "universal switch modules", where only 2-pin nets are considered, the hyper-universal switch box model is more general and powerful. This paper studies the generic problem and proposes a systematic designing methodology for hyper-universal (k, W)-switch boxes, where k is the number of sides and W is the number of terminals on each side. We formulate this hyper-universal (k, W)-switch box design problem as a k-parfite graph design problem and propose an efficient reduction design technique. Applying this technique, we can design hyper-universal (k, W)-switch boxes with low O(W) switches for any fixed k. For illustration, we provide optimum hyper-universal (2, W) and (3, W)-switch boxes and a hyper-universal (4, W)-switch box with switch number quite close to the lower bound 6W, which is used in a well-known commercial design without hyper-universal routability. We also conclude that the proposed reduction method can yield an efficient detailed routing algorithm for any given routing requirement as 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 | 0.000 | 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