Bibliographic record
Abstract
The geometric shortest path problem is one of the fundamental problems in Computational Geometry and related fields. In the first part of this thesis, we study the weighted region problem (WRP), which is to compute a geometric shortest path on a weighted partitioning of a plane. Recent results show that WRP is not solvable in any algebraic computation model over rational numbers. Thus, scientists have focused on approximate solutions. We first study the WRP when the input partitioning of space is an arrangement of lines. We provide a technique that makes it possible to apply the existing approximation algorithms for triangulations to arrangements of lines. Then, we formulate two qualitative criteria for weighted short paths. We show how to produce a path that is quantitatively close-to-optimal and qualitatively satisfactory. The results of our experiments carried out on triangular Prima facie, I am grateful to the God for well-being that were necessary to complete this thesis.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.007 | 0.013 |
| 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 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".