MétaCan
Menu
Back to cohort
Record W2109945488 · doi:10.1109/ciisp.2007.369311

Evolutionary Exploration of Generalized Julia Sets

2007· article· en· W2109945488 on OpenAlex

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

Venuenot available
Typearticle
Languageen
FieldMathematics
TopicMathematical Dynamics and Fractals
Canadian institutionsUniversity of Guelph
Fundersnot available
KeywordsJulia setMandelbrot setGeneralizationMathematicsQuadratic equationFractalSimple (philosophy)Quadratic functionSet (abstract data type)AlgorithmComputer scienceCombinatoricsMathematical analysisGeometry

Abstract

fetched live from OpenAlex

Julia sets are fractal subsets of the complex plane defined by a simple iterative algorithm. Julia sets are specified by a single complex parameter and their appearances are indexed by the Mandelbrot set. This study presents a simple generalization of the quadratic Julia set that requires two complex parameters. The generalization causes the Mandelbrot set indexing the generalized Julia sets to become 4-dimensional and hence difficult to use as a visual index. An evolutionary algorithm is used to search the space of generalized quadratic Julia sets. A type of fitness function is presented that permits the artist exert some control over the appearance of the resulting Julia sets. The impact of different versions of the fitness function on the resulting Julia sets is explored. It is found that the designed fitness functions do give substantial control over the appearance of the resulting fractals

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: Methods · Consensus signal: none
Teacher disagreement score0.573
Threshold uncertainty score0.619

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)0.0010.000

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 head0.088
GPT teacher head0.355
Teacher spread0.266 · 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

Quick stats

Citations13
Published2007
Admission routes1
Has abstractyes

Explore more

Same topicMathematical Dynamics and FractalsFrench-language works237,207