Bibliographic record
Abstract
There are two mathematical forms of the non-linear Muskingum model, which involves a storage parameter, weighting parameter and an exponent parameter. In the first form, the exponent parameter is associated with the inflow and outflow variables of the storage equation; in the second form, it is associated with the weighted storage term of that equation. The second form has been more popular as it is easier to estimate and produces a better fit to observed data. This paper proposes a new four-parameter non-linear Muskingum model that assumes a power function of the channel storage and in effect combines the two known mathematical forms of the model. The resulting model provides more degrees of freedom in fitting observed data. The problem is formulated as a mathematical optimisation model that minimises the sum of the squared deviations between observed and estimated outflows. A constraint among the four model parameters is developed to ensure non-negative outflows. Application of the proposed model shows that it could substantially (up to almost 80%) improve the fit to observed outflows.
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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 | 0.001 | 0.002 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.002 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.002 | 0.002 |
| Open science | 0.004 | 0.002 |
| Research integrity | 0.002 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 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".