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Record W2349480802

On the Avalanche Characteristics of the Boolean Function

2004· article· en· W2349480802 on OpenAlexaff
Qi Wen

Bibliographic record

VenueDianzi xuebao · 2004
Typearticle
Languageen
FieldComputer Science
TopicCoding theory and cryptography
Canadian institutionsCAE (Canada)
Fundersnot available
KeywordsBoolean functionDimension (graph theory)MathematicsDiscrete mathematicsDegree (music)Function (biology)Set (abstract data type)Parity functionClass (philosophy)Space (punctuation)CombinatoricsIndependence (probability theory)Vector-valued functionBoolean expressionPure mathematicsComputer sciencePhysicsArtificial intelligenceStatistics
DOInot available

Abstract

fetched live from OpenAlex

Let V be the space of dimension n over GF(2), f(x) a boolean function on V .In this paper,the set U of the vectors satisfying the propagation criteria is discussed.If deg f(x)=n ,then U is an empty set.For all the functions of degree 2, U have at least half vectors of V .The avalanche characteristics of a class of functions is discussed.Boolean functions have no nonezero linear structure if and only if there are n linear independence vectors.Furthermore a construction of functions which satisfy propagation criteria of degree 2 is given.

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: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.184
Threshold uncertainty score0.165

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 head0.008
GPT teacher head0.181
Teacher spread0.173 · 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
Published2004
Admission routes1
Has abstractyes

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