A Genetic Algorithm Employing Correlative Roulette Selection for Optimization of FRM Digital Filters over CSD Multiplier Coefficient Space
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Bibliographic record
Abstract
It is well known that canonical signed digit (CSD) multiplier coefficients reduce the complexity and power consumption requirements in the hardware implementation of FIR digital filters. Optimization of the constituent CSD multiplier coefficients using genetic algorithms can further reduce this complexity by constantly evolving from generation to generation based on the minimization of an objective fitness function modeled on the magnitude response characteristics of the digital filter. This paper presents a new genetic algorithm based on correlative roulette selection (CRS) for the optimization of frequency response-masking (FRM) FIR digital filters over the CSD multiplier coefficient space. Based on genetic operations such as crossover and mutation, valid CSD multiplier coefficients are generated without any recourse to gene repair. An application example is given for the design of a FRM FIR lowpass digital filter employing CSD multiplier coefficients. The resulting FIR digital filter outperforms a corresponding infinite-precision digital filter obtained by using the Parks-McClellan technique
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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 | 0.001 |
| 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