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Record W4245461568 · doi:10.22215/etd/2020-14136

On The Numerical Computation of Aᵅx=b

2020· dissertation· en· W4245461568 on OpenAlexaff
Siming Tian

Bibliographic record

Venuenot available
Typedissertation
Languageen
FieldComputer Science
TopicMatrix Theory and Algorithms
Canadian institutionsCarleton University
Fundersnot available
KeywordsOdeComputationLinear systemMatrix (chemical analysis)MathematicsRoot (linguistics)AlgorithmComputer scienceApplied mathematicsAlgebra over a fieldDiscrete mathematicsPure mathematicsMathematical analysis

Abstract

fetched live from OpenAlex

The paper, ODE-based double-preconditioning for solving linear systems A x = b and f (A)x = b, by Antoine and Lorin [5], introduces different types of preconditioners for efficiently computing large sparse systems A x = b. In this thesis, we introduce the notion of matrix functions f (A) and present several methods for computing p-th root matrices A 1/p . Finally we propose some algorithms for solving fractional linear systems.

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 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)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.983
Threshold uncertainty score0.267

Codex and Gemma teacher scores by category

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 communication0.0000.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

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.

Opus teacher head0.013
GPT teacher head0.260
Teacher spread0.247 · 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 teacher head, not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
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

Citations0
Published2020
Admission routes1
Has abstractyes

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