Fast Fourier Transform based Force Histogram Computation for 3D Raster Data
Why this work is in the frame
A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.
Bibliographic record
Abstract
The force histogram is a quantitative representation of relative position between two objects. For 2D data, two algorithms are defined: a well-functioning line-based algorithm, and Fast Fourier Transform (FFT) based algorithm that has a high computational cost. The line-based algorithm has previously been extended to the 3D case, but found to be unstable, and affected by a variety of factors. This thesis presents an extension of the FFT-based algorithm to the 3D case along with an analysis that demonstrates that, with the exception of a few special cases, the computational time of the 3D FFT-based algorithm is less than the line-based version. In addition, the results included here shown that the FFT-based algorithm is independent of the number of directions, the types of forces, and the shapes of the objects (convex, concave, disjoint or overlapping).
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
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 | 0.001 |
| 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 it