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Decoding of Polar Codes with Finite Memory

2023· article· en· W4388427910 on OpenAlexaff
Michael McGuire, Mihai Sima

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldComputer Science
TopicError Correcting Code Techniques
Canadian institutionsUniversity of Victoria
Fundersnot available
KeywordsDecoding methodsAlgorithmComputer scienceSequence (biology)Sequential decodingTree (set theory)Binary numberList decodingStack (abstract data type)MathematicsArithmeticBlock codeConcatenated error correction code

Abstract

fetched live from OpenAlex

This paper introduces a variation of the Successive Cancellation Stack (SCS) decoding algorithm for polar codes which is able to always return the transmitted data sequence with the highest probability of creating the received signal. The proposed algorithm uses a variation of the Simplified-Memory A Star algorithm to search for the transmitted binary sequence. This algorithm maintains a tree of all sub-sequences which are parents of the currently considered sequences. This tree allows the algorithm to delete sequences from memory while maintaining a record of which sequences it may need to reconsider later in the search. The algorithm is optimal in the sense that it is guaranteed to find the maximum probability sequence. Simulations demonstrate that the mean run-time of this algorithm is comparable to pre-existing decoding algorithms such as the Successive Cancellation List (SCL) algorithm with better error correction performance.

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)0.001
metaresearch head score (Gemma)0.003
Version: metacan-v3-hybrid-931329e0061cValidation 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 score0.002
Threshold uncertainty score0.005

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.003
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0000.001
Scholarly communication0.0010.001
Open science0.0010.001
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0010.001

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 head0.024
GPT teacher head0.268
Teacher spread0.243 · 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 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
Published2023
Admission routes1
Has abstractyes

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