A formalization of structured temporal objects and repetition
Bibliographic record
Abstract
Abstract. We propose an approach to formally representing struc-tured temporal objects. These new temporal objects are recursively made up of convex intervals and Allen’s convex relations. The ma-jor 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 essentially param-eterized by a cycle which is a structured temporal element possibly including subloops, a relation between instances of the cycle and a repetitions number. Atemporal assertions are true during these tem-poral objects, and thus this formalism allows one to concisely rep-resent 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 a meeting may in turn be composed of structured temporal elements. 1
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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 | 0.006 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.000 | 0.002 |
| Bibliometrics | 0.002 | 0.002 |
| Science and technology studies | 0.002 | 0.007 |
| Scholarly communication | 0.003 | 0.010 |
| Open science | 0.002 | 0.003 |
| Research integrity | 0.001 | 0.003 |
| Insufficient payload (model declined to judge) | 0.005 | 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".