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Multi Coding Rates Nested Recursive Convolutional Doubly-Orthogonal Codes

2021· article· en· W3213976927 on OpenAlexaff
Éric Roy, Christian Cardinal, David Haccoun

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicError Correcting Code Techniques
Canadian institutionsPolytechnique Montréal
Fundersnot available
KeywordsConvolutional codeEncoderCoding (social sciences)Tanner graphDecoding methodsBlock codeDiscrete mathematicsSerial concatenated convolutional codesConcatenated error correction codeLinear codeMathematicsAlgorithmComputer scienceCode rateCombinatoricsTheoretical computer scienceStatistics

Abstract

fetched live from OpenAlex

This article presents a class of multi-coding rates time-invariant Recursive Convolutional Doubly-Orthogonal codes (RCDO). The Nested-RCDO (N-RCDO) codes are generated from their RCDO mother code which has a Tanner graph with a girth equal to 10 due to the doubly-orthogonal conditions imposed onto the connections positions of the mother recursive convolutional encoder. This implies that the girths of the N-RCDO codes are also equals to 10. Moreover, results are showing that regular (3, d <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ρ</inf> ) N-RCDO codes nearly achieve their asymptotic decoding limits for all the desired coding rates obtained from the regular mother RCDO code. These codes also offer a substantial additional coding gain as compared to the non-recursive multi coding rates CDO codes.

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: Methods · Consensus signal: none
Teacher disagreement score0.814
Threshold uncertainty score0.687

Codex and Gemma teacher scores by category

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

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 head0.042
GPT teacher head0.309
Teacher spread0.267 · 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
GenreMethods

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
Published2021
Admission routes1
Has abstractyes

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