A Nonlinear Program for Angular-Velocity Estimation From Centripetal-Acceleration Measurements
Bibliographic record
Abstract
Measuring the trajectory of a rigid body in space is commonly done using an inertial measurement unit composed of one triaxial accelerometer and one triaxial gyroscope. When the rigid body undergoes high accelerations, it is often preferable to resort to an array of accelerometers rather than the traditional accelerometer-gyroscope combination, an approach that is now common in crashworthiness and other biomechanics applications. In this paper, we present an algorithm for the estimation of the rigid-body angular velocity from the centripetal components of the accelerations measured by the array of accelerometers. The proposed algorithm and the others available in the literature were benchmarked using the accelerometer array octahedral constellation of twelve accelerometers. In the reported testing conditions, the proposed method is slightly more robust than any other based on centripetal-acceleration measurements.
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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 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".