The natural design of hierarchy: basketball versus academics
Bibliographic record
Abstract
The power-law correlation between frequency and rank is a physics characteristic of natural fl ow systems (river basins, demography) in accordance with the constructal law. Here we show that this robust characteristic is a consequence of their design as area-point and point-area fl ow systems that morph freely and compete for access on an area. The emergence of hierarchical design is illustrated with the rankings of university basketball pro-grams. Although basketball rankings have the same character as the university rankings, there is no correlation between the two rankings. Academic excellence and basketball excellence are two different fl ow architectures on the same area, like the fl ow of humanity (demography) and the fl ow of water (river basins). Together, they show how the evolution of sports allows us to witness biological evolution in our life time.
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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 | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".