Quarter century of the statistical method in crystallography
Bibliographic record
Abstract
Higher-dimensional crystallography first introduced to modulated crystals by de Wolff, Janner, and Janssen is about to celebrate 50 years.The discovery of quasicrystals by Dan Shechtman recently celebrated 40 years.Also, just above 25 years ago the first paper on the statistical method with a concept of the average unit cell was published [1,2], the date since a real-space analysis of quasicrystals and other aperiodic systems was introduced.The basic idea behind the AUC approach is to describe the aperiodic system in real space (3D), rather than going to high dimensions.Atoms (replaced by atomic surfaces in multidimensional crystallography) are represented here by statistical distributions of positions calculated with respect to some reference grids.The structure factor is obtained by a Fourier transform of the distributions [3].
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How this classification was reachedexpand
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 | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".