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<i>k</i>-involution codes and related sets

2007· article· en· W2115302316 on OpenAlexaff
Lila Kari, Kalpana Mahalingam

Bibliographic record

VenueJournal of Discrete Mathematical Sciences and Cryptography · 2007
Typearticle
Languageen
FieldBiochemistry, Genetics and Molecular Biology
TopicDNA and Biological Computing
Canadian institutionsWestern University
Fundersnot available
KeywordsInvolution (esoterism)MathematicsCombinatoricsDiscrete mathematicsBiology

Abstract

fetched live from OpenAlex

This study was motivated by the problem of optimally encoding information on DNA for biocomputational purposes. Our formalization of intermolecular hybridization (binding) with bulges led to the notion, interesting in its own right, of k-involution codes. An involution code refers to any of the generalizations of the classical notion of codes in which the identity function is replaced by an involution function. (An involution function θ is such that θ2 equals the identity. An antimorphic involution is the natural formalization of the notion of DNA complementarity.) We namely define and study the notions of k-θ-prefix, k-θ-suffix and k-θ-bifix codes. We also extend the notion of k-insertion set and k-deletion set of a language to incorporate the notion of an involution function. Thus, to an involution map θ and a language L, we associate a set k-θ-ins(L) (k-θ-del(L)) with the property that its k-insertion (k-deletion) into any word of L yields words which belongs to θ(L). We study the properties of these languages and their connection to involution 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 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)0.005
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: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.003
Threshold uncertainty score0.014

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.005
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.001
Bibliometrics0.0020.001
Science and technology studies0.0020.004
Scholarly communication0.0020.002
Open science0.0010.002
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0030.001

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 head0.011
GPT teacher head0.276
Teacher spread0.264 · 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

Citations1
Published2007
Admission routes1
Has abstractyes

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