Bibliographic record
Abstract
An FPGA switch box is said to be universal (hyper-universal) if it can detailed route all possible surrounding 2-pin (multi-pin) net topologies satisfying the global routing density constraints. A switch box is optimum if it is hyper-universal and the switches inside are minimum. It has been shown that if the net topology is restricted to 2-pin nets, then a 2-D (4-way) switch box can be built to be universal with only 6W switches, where W is the global routing channel density. As the routing resource is relatively expensive in FPGA chips, study of the optimum switch box designs is clearly a topic with theoretical and commercial value of reducing silicon cost. A previous work has constructed a formal mathematical model of this optimum design problem for switch boxes with arbitrary dimensions, and gave a scheme to produce hyper-universal designs with less than 6.7W switches for 4-way FPGA switch boxes. In this paper, we will further investigate this most common 4-way switch box case, and will give new theoretical results followed by extensive experimental justification, The results seem to be quite attractive. We show that such an optimum switch box can be built with a very low number of additional switches beyond 6 W for today's practical range of low W's (e.g. just 6W plus 1 or 2 additional switches for W's up to 7). Even for arbitrary large W's, the bound can be shown to be under 6.34W. To make experimental comparison, we run today's published best FPGA router VPR on large benchmarks for the popular disjoint structure and our proposed designs. The results are quite encouraging.
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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 | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.002 | 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 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".