A null space approach for complete and over-complete blind source separation of autoregressive source signals
Why this work is in the frame
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Bibliographic record
Abstract
This paper presents a method of blind source separation (BSS) of autoregressive (AR) signals for complete and over-complete cases. It is based on a new separation matrix estimated from the null space (NS) of the mixture. Analysis of a mixture equation is carried out to find out the analytical representation of the separating matrix used for estimating the input source signals. The Eigenvectors of the mixture matrix is factorized using upper and lower triangular matrix factorization, then use them to formulate the separation matrix. An algorithm of the new method is provided in this paper. Simulation results show that the method is successfully separating speech and Gaussian signals from their mixture with MSE less than 0.14.
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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 | 0.001 | 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 | 0.001 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 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