A formalization of structured temporal objects and repetition
Bibliographic record
Abstract
We propose an approach to formally representing structured temporal objects. These new temporal objects are recursively made up of convex intervals and Allen's convex relations. The major emphasis in our approach is on temporal repetition. To that effect we define the time loop. Time loops allow us to abstract common elements in repetitive temporal patterns. A loop is parameterized by a cycle which is a structured temporal element possibly including subloops, a relation between instances of the cycle and a repetition factor or dimension. Atemporal assertions are true during these temporal objects, and thus this formalism allows one to concisely represent and reason with assertions which have an inherent temporal structure. Hence, this formalism allows one to concisely represent, for example, the scheduling of regular meetings in a university, where meeting may in turn be composed of structured repetitive processes such as those occurring in an assembly line.
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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 | 0.005 | 0.007 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.003 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.002 | 0.007 |
| Scholarly communication | 0.004 | 0.012 |
| Open science | 0.003 | 0.004 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.006 | 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".