LSB Removal in RNS with 2's Power Residue |𝑥|2 𝑚
Why this work is in the frame
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Bibliographic record
Abstract
An efficient Least Significant Bits (LSB) removal (scaling by a power-of-2) solution in the Residue Number System (RNS) with 2's power residue |𝒙| 𝟐 𝒎 is proposed, which includes flooring, rounding, and ceiling. This LSB removal solution is similar to that in regular binary system, and even with lower latency. This LSB removal solution does not need sign detection and even/odd detection. It also does not alter the base, or the moduli set of the RNS. The only requirement for this solution is no even modulus in the moduli set of the RNS. This paper also describes three alternative algorithms to produce the 2's power residue |𝒙| 𝟐 𝒎. Alternative-3 is the best of three, with which all the operations associated with the 2's power residue |𝒙| 𝟐 𝒎 are efficient 2's power modulo operations.
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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 | 0.001 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.002 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.001 |
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