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High Performance and Energy Efficient Floating-Point Multiplier on FPGA

2023· article· en· W4389387126 on OpenAlexafffund
Hao Zhang, Xueyi Zheng, Seok‐Bum Ko

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicNumerical Methods and Algorithms
Canadian institutionsUniversity of Saskatchewan
FundersNatural Sciences and Engineering Research Council of CanadaNatural Science Foundation of Qingdao
KeywordsMultiplier (economics)Double-precision floating-point formatField-programmable gate arrayComputer scienceSingle-precision floating-point formatComputer hardwareFloating pointEmbedded systemDigital signal processingEnergy consumptionVirtexAlgorithmEngineeringElectrical engineering

Abstract

fetched live from OpenAlex

In this paper, a high performance and energy efficient double-precision floating-point multiplier is designed and implemented on FPGA devices. A novel mapping solution of the mantissa multiplier is proposed which makes full use of the DSP blocks and requires less pipeline stages. In addition, a dual-mode floating-point multiplier is also proposed in this paper which is designed by splitting the components of the proposed double-precision multiplier. Two parallel single-precision operations are supported. For comparison purpose, the proposed architecture is implemented on Xilinx Virtex-5 (xc5vlx155ff1760-3) device, where the proposed double-precision multiplier can run 3.4% faster than previous work with less latency and can run 32.3% faster than the IP core multiplier with same latency. The proposed dual-mode multiplier can run 20.9% faster than previous fastest dual-mode design. In terms of energy consumption, the proposed double-precision multiplier consumes 43.3% less energy per operation compared to the double-precision IP core. The proposed dual-mode multiplier can achieve 24.5% less energy per operation compared to the double-precision IP core. The implementation results of the proposed architectures on latest Xilinx Virtex-7 and Altera Arria-10 devices are provided.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Bench or experimental · Consensus signal: Bench or experimental
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.003
Threshold uncertainty score0.011

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.001
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0030.001

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.

Opus teacher head0.015
GPT teacher head0.249
Teacher spread0.233 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designBench or experimental
Domainnot available
GenreEmpirical

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".

Quick stats

Citations1
Published2023
Admission routes2
Has abstractyes

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