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Record W2084691665 · doi:10.1080/713827178

Numeric mapping and learnability of naive bayes

2003· article· en· W2084691665 on OpenAlex
Harry Zhang, Charles X. Ling

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueApplied Artificial Intelligence · 2003
Typearticle
Languageen
FieldComputer Science
TopicRough Sets and Fuzzy Logic
Canadian institutionsWestern UniversityUniversity of New Brunswick
Fundersnot available
KeywordsLearnabilityComputer scienceNaive Bayes classifierMeasure (data warehouse)Bayes' theoremFunction (biology)Domain (mathematical analysis)Property (philosophy)Artificial intelligenceBinary numberTransformation (genetics)Machine learningAlgorithmMathematicsData miningBayesian probabilitySupport vector machineArithmetic

Abstract

fetched live from OpenAlex

In data-mining applications, it is common to transform (or map) nominal attributes into numeric ones in order to apply a specific model. However, a nominal attribute has typically no specific order in its values and no geometric meaning. An interesting issue is, does such a transformation change the property of a nominal function? How do you measure the geometric complexity of a nominal function independent of the mapping? This paper discusses the issue of converting a nominal function into a numeric one. We propose a three-layer measure for the geometric linearity of a nominal function and explore the geometric property of a nominal function independent of the mapping. Naive Bayes is one of the most efficient and effective inductive-learning algorithms for data mining. It is well known that Naive Bayes is linear in the binary domain; that is, it can learn only linearly separable functions. We show that Naive Bayes is actually nonlinear in the nominal domain, a general case of the binary domain, by exploring the geometric property of Naive Bayes. We investigate the geometric property of Naive Bayes based on the three-layer linearity measure that we propose. Our work helps researchers to understand the influence of numeric mapping on the property of a nominal function, and how numeric mapping affects the learnability of Naive Bayes.

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.

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: none
Teacher disagreement score0.884
Threshold uncertainty score0.440

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 science0.0000.000
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 head0.044
GPT teacher head0.255
Teacher spread0.211 · 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