Efficient Posit Multiply-Accumulate Unit Generator for Deep Learning Applications
Bibliographic record
Abstract
The recently proposed posit number system is more accurate and can provide a wider dynamic range than the conventional IEEE754-2008 floating-point numbers. Its nonuniform data representation makes it suitable in deep learning applications. Posit adder and posit multiplier have been well developed recently in the literature. However, the use of posit in fused arithmetic unit has not been investigated yet. In order to facilitate the use of posit number format in deep learning applications, in this paper, an efficient architecture of posit multiply-accumulate (MAC) unit is proposed. Unlike IEEE754-2008 where four standard binary number formats are presented, the posit format is more flexible where the total bitwidth and exponent bitwidth can be any number. Therefore, in this proposed design, bitwidths of all datapath are parameterized and a posit MAC unit generator written in C language is proposed. The proposed generator can generate Verilog HDL code of posit MAC unit for any given total bitwidth and exponent bitwidth. The code generated by the generator is a combinational design, however a 5-stage pipeline strategy is also presented and analyzed in this paper. The worst case delay, area, and power consumption of the generated MAC unit under STM-28nm library with different bitwidth choices are provided and analyzed.
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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 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.007 | 0.001 |
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".