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Record W2914973130 · doi:10.1109/tc.2019.2895031

Efficient Multiple-Precision Floating-Point Fused Multiply-Add with Mixed-Precision Support

2019· article· en· W2914973130 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.
fundA Canadian funder is recorded on the work.

Bibliographic record

VenueIEEE Transactions on Computers · 2019
Typearticle
Languageen
FieldComputer Science
TopicNumerical Methods and Algorithms
Canadian institutionsUniversity of Saskatchewan
FundersNatural Sciences and Engineering Research Council of CanadaUniversity of Saskatchewan
KeywordsDouble-precision floating-point formatSingle-precision floating-point formatAccuracy and precisionComputer scienceMultiplication (music)Floating pointFloating-point unitDot productAlgorithmMathematicsStatistics

Abstract

fetched live from OpenAlex

In this paper, an efficient multiple-precision floating-point fused multiply-add (FMA) unit is proposed. The proposed FMA supports not only single-precision, double-precision, and quadruple-precision operations, as some previous works do, but also half-precision operations. The proposed FMA architecture can execute one quadruple-precision operation, or two parallel double-precision operations, or four parallel single-precision operations, or eight parallel half-precision operations every clock cycle. In addition to the support of normal FMA operations, the proposed FMA also supports mixed-precision FMA operations and mixed-precision dot-product operations. Specifically, the products of two lower precision multiplications can be accumulated to a higher precision addend. By setting the operands of one multiplication to zeros, the proposed FMA can also perform mixed-precision FMA operations. Support for mixed-precision FMA and mixed-precision dot-product is newly added but it only consumes 6.5 percent more area compared to a normal multiple-precision FMA unit. Compared to the state-of-the-art multiple-precision FMA design, the proposed FMA supports more floating-point operations such as half-precision FMA operations and mixed-precision operations with only 10.6 percent larger area.

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.

Full frame distilled prediction

Teacher imitation

Not 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.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.586
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.001

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 head0.014
GPT teacher head0.249
Teacher spread0.235 · 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