Combined Architecture/Algorithm Approach to Fast FPGA Routing
Bibliographic record
Abstract
We propose a new field-programmable gate array (FPGA) routing approach, which, when combined with a low-cost architecture change, results in a 40% reduction in router runtime, at the cost of a 6% area overhead and with no increase in critical path delay. Our approach begins with PathFinder-style routing, which we run on a coarsened representation of the routing architecture. This leads to fast generation of a partial routing solution where the signals are assigned to groups of wire segments rather than individual wire segments. A Boolean satisfiability (SAT)-based stage follows, generating a legal routing solution from the partial solution. We explore approximately 165 000 FPGA switch block architectures, showing that the choice of the architecture has a significant impact on the complexity of the SAT formulation, and by extension, on routing runtime. Our approach points to a new research direction, namely, reducing FPGA computer-aided design runtime by exploring FPGA architectures and algorithms together.
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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 | 0.000 |
| 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 | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".