Predicting infinite periodic structure properties from finite structure models
Bibliographic record
Abstract
Abstract Many techniques have been proposed for determining the properties of a finite‐sized periodic structure from one consisting of the same elements and lattice, but infinite in size. In this article, we do the opposite, and describe an easily implemented moment method approach to determine the infinite structure properties from a related finite one, but importantly without the necessity of finding the current distribution on any element other than a single central one, and only having to find the solution of a matrix equation whose size is determined by the number of unknowns associated with the central element only. This is useful if one has access to a formulation (and source code) to analyze a single element and wish to know the properties of an infinite periodic structure comprised of such elements. Numerical validation is provided. © 2012 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:2416–2420, 2012; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.27094
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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 | 0.000 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 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 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".