Principal axes analysis of symbolic histogram variables
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Bibliographic record
Abstract
We present a new method to perform a principal axes analysis of symbolic histogram variables. In the symbolic data analysis framework, several Histogram Principal component Analysis (Histogram PCA) have been proposed. Some approaches focus on the relationships between some specific features of histograms such as the means or the quantiles. Others use the association for distributional variables based on the squared Wasserstein distance. In this paper, we propose two new approaches. The first one uses new correlation measures based on Fisher's z scores between corresponding bins of histogram variables. We also suggest the use of the estimator proposed by Olkin and Pratt. In the first approach, histogram variables must have the same number of bins. The second proposed approach, by contrast, extends the previous proposed correlations by considering the corresponding quantiles. This second approach can be used when histograms do not have the same number of bins.
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Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.012 | 0.007 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.008 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.004 | 0.002 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it