Relative Gain Array for Norm-Bounded Uncertain Systems
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Bibliographic record
Abstract
This paper considers the extension of relative gain array (RGA) to norm-bounded uncertain systems. We present a method for calculating a tight bound on the worst-case relative gain and derive necessary and sufficient conditions for the sign change of the relative gain over the uncertainty set. The proposed results improve on recently published results [Chen and Seborg, AIChE J. 2002, 48, 302]. More importantly, it is shown that the role of RGA is limited for ascertaining the integrity of uncertain systems. This conclusion is in direct contrast with the corresponding result for adjudging integrity of nominal systems, where the usefulness of RGA is well-known. As an offshoot, we present a signal-based representation of the relative gain for uncertain systems.
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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 | 0.008 | 0.016 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.002 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 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 it