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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 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: Bench or experimental · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.710
Threshold uncertainty score0.228

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 head0.024
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 teacher head, not a consensus.

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

Citations0
Published2023
Admission routes1
Has abstractyes

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