LMS-optimal notch filters with improved transient performance
Why this work is in the frame
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Bibliographic record
Abstract
The use of a pole-contraction factor (/spl alpha/) with a value close to unity in the Constrained Notch Filters (CNFs) causes excessively long transient response. For practically useful values of /spl alpha/, the transient duration is reduced, on the other hand however, the error in transparency as measured by the MSE is increased. In this paper, we increase the order of CNFs by a strategic pole/zero placement to address this tradeoff. Two approaches of finding these pole/zero locations are shown. One of the methods is optimal in the LMS sense, while the other, though suboptimal, yields a closed-form solution. The resulting filters show a significant improvement in the transient duration.
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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