Recursive implementation of statistically-optimal null filters
Why this work is in the frame
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Bibliographic record
Abstract
Statistically-optimal null filters (SONFs), based on the combination of the maximum output SNR and the least-squares criteria, have been recently presented in literature. Orthogonality of the basis functions used in the series representation of the signal in question plays a key role in the implementation of such filters. In this paper, we first present the globally-optimal SONF, wherein the orthogonalization procedure is not necessary and then show how it can be implemented recursively. Simulation results are presented comparing the Gram-Schmidt (GS)-orthogonalized SONF, recursive SONF and the constrained notch filter (CNF). Ability of the SONFs to process short duration signals is emphasized.
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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) | 0.002 | 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