Multivariate Bounded Support Kotz Mixture Model with Minimum Message Length Criterion
Bibliographic record
Abstract
In this paper, we present a multivariate bounded Kotz mixture model (BKMM) for data modeling when the data lies in a bounded support region. In BKMM, parameter estimation is performed by maximizing the log-likelihood through Expectation-Maximization (EM). Model selection in mixtures is considered essential for determining the optimal number of mixture components. Thus, we propose a model selection criterion for BKMM using minimum message length (MML). Initially, we validate the proposed model selection criteria for identifying the exact number of components using five medical disease diagnosis data. Additionally, to further assess its performance, we examined the model using various image datasets such as Alzheimer, lung tissue, gastrointestinal tract and object categorization. The results of MML are compared with seven different model selection criteria to examine the effectiveness of the proposed model. The experimental results demonstrate the effectiveness of the BKMM and MML.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot 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.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.006 | 0.019 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.003 | 0.002 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.002 | 0.005 |
| Open science | 0.005 | 0.003 |
| Research integrity | 0.003 | 0.004 |
| Insufficient payload (model declined to judge) | 0.003 | 0.002 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
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".