General models for optimum arbitrary-dimension FPGA switch box designs
Bibliographic record
Abstract
Abstract–An FPGA switch box is said to be hyper-universal if it is routable for all possible surrounding multi-pin net topolo-gies satisfying the routing resource constraints. It is desirable to design hyper-universal switch boxes with the minimum number of switches. A previous work, Universal Switch Module, consid-ered such a design problem concerning-pin net routings around a single FPGA switch box. However, as most nets are multi-pin nets in practice, it is imperative to study the problem that involves multi-pin nets. In this paper, we provide a new view of global routings and formulate the most general-sided switch box de-sign problem into an optimum-partite graph design problem. Applying a powerful decomposition theorem of global routings, we prove that, for a fixed, the number of switches in an opti-mum-sided switch box with terminals on each side is, by constructing some hyper-universal switch boxes with switches. Furthermore, we obtain optimum, hyper-universal-sided and-sided switch boxes, and propose hyper-universal-sided switch boxes with less than switches, which is very close to the lower bound obtained for pure 2-pin net models in [5]. 1
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How this classification was reachedexpand
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) | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".