Parameter Subset Selection in Differential Equation Models with Dead Time
Why this work is in the frame
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Bibliographic record
Abstract
A methodology is proposed for parameter ranking and parameter subset selection for nonlinear ordinary differential equation (ODE) models with time delay, in which delay is treated as an unknown model parameter. The methodology builds on earlier algorithms for ranking model parameters in systems without time delay (Yao et al., 2003; Thompson et al., 2009) and for finding the optimum number of parameters for estimation (Wu et al., 2011; McLean and McAuley, 2012a). A polymerization reactor system for producing bio-source polyether is used to illustrate the effectiveness of the proposed method in comparison with prior results obtained by Cui et al. (2015) who neglected the time delay.
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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 | 0.000 | 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 | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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 it