Filterbank-based fast parallel algorithms for 2-D DHT-based real-valued discrete Gabor transform
Bibliographic record
Abstract
Novel and fast parallel algorithms for the 2-D DHT-based real-valued discrete Gabor transform (RDGT) and its inverse transform are presented based on 2-D filterbanks. A 2-D analysis filterbank is designed for the 2-D RDGT and a 2-D synthesis filterbank is designed for the 2-D inverse RDGT. The parallel channel in each of the two filterbanks has a unified structure and can apply the 2-D fast DHT (discrete Hartley transform) to reduce its computational load. The computational complexity of each parallel channel is very low and is independent of the oversampling rate. The computational complexity of the proposed parallel algorithms is analyzed and compared with that of the existing fastest parallel algorithms for the 2-D RDGT and its inverse transform. The results indicate that the proposed parallel algorithms are attractive for real tune image processing.
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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 | 0.001 | 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 | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| 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 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".