MNDL Sparsity Order Selection for Compressed Sensing with Application in ECG Compression
Bibliographic record
Abstract
One of the main challenges in sparse signal recovery in compressed sensing framework is determining the sparsity order. Most model order selection methods introduce a penalty term for the number of parameters, however do not consider the variance of the observation and measurement noise. Minimum Noiseless Description Length (MNDL), on the other hand, considers these factors and provides a more robust results in order selection. Nevertheless, it requires noise variance (equivalently SNR) estimate for the order selection procedure. In this paper, a new method is introduced to estimate the variance of the observation noise within the MNDL order selection method. The fully automated method simultaneously provides the SNR estimate and sparsity order and does not require any prior partial knowledge or assumption on the noise variance. Simulation results for ECG compression show advantages of the proposed automated MNDL over the existing approaches in the sense of parameter estimation error and SNR improvement.
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How this classification was reachedexpand
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 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".