Quad-multiplier packing based on customized floating point for convolutional neural networks on FPGA
Bibliographic record
Abstract
Deep convolutional neural networks (CNNs) are widely used in many computer vision tasks. Since CNNs involve billions of computations, it is critical to reduce the resource /power consumption and improve parallelism. Compared with extensive researches on fixed point conversion for cost reduction, floating point customization has not been paid enough attention due to its higher cost than fixed point. This paper explores the customized floating point for both the training and inference of CNNs. 9-bit customized floating point is found sufficient for the training of ResNet-20 on CIFAR-10 dataset with less than 1% accuracy loss, which can also be applied to the inference of CNNs. With reduced bit-width, a computational unit (CU) based on Quad-Multiplier Packing is proposed to improve the resource efficiency of CNNs on FPGA. This design can save 87.5% DSP slices and 62.5% LUTs on Xilinx Kintex-7 platform compared to CU using 32-bit floating point. More CUs can be arranged on FPGA and higher throughput can be expected accordingly.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.008 | 0.002 |
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 source (direct Gemma or distilled Codex), 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".