Bibliographic record
Abstract
Multivariate chemical and biological data are increasingly characterized by measurement error variances that are highly heterogeneous. Such heteroscedasticity may be inherent in the measurements themselves or a consequence of data pretreatment. The presence of measurements with large error variances among more precise observations leads to problems in data analysis. For exploratory data analysis and in particular the low‐dimensional visualization of data structures, these complications can result from sources that include preprocessing, subspace estimation, and the projection of objects with erroneous measurements, as well as contamination of the projection space with unreliable samples that preclude the effective visualization of data structures that may be present. In this work, a general strategy is proposed for the exploratory data analysis of multivariate data exhibiting a high degree of non‐uniformity in measurement error variance, where estimates of the variance are available. This strategy involves three principles: (1) mitigation of the effects of noisy measurements through a preprocessing step that uses maximum likelihood principal components analysis; (2) propagation of measurement uncertainty through all steps of the procedure; and (3) incorporation of the uncertainty information into the projection of data onto the visualization subspace. To carry out this last step, a new technique, referred to as the partial transparency projection, is introduced in which the quality of measurements is interactively imbedded into the appearance of the object in the space. The advantages of this strategy are demonstrated with simulated measurements and using experimental microarray gene expression data from a yeast time course study. Copyright © 2012 John Wiley & Sons, Ltd.
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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 | 0.010 | 0.030 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.002 |
| Bibliometrics | 0.003 | 0.004 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.003 | 0.002 |
| Open science | 0.001 | 0.004 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.003 | 0.001 |
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".