UNIVERSITY OF CALGARY NUMERICAL SOLUTIONS TO ALTIMETRY-GRAVIMETRY BOUNDARY VALUE PROBLEMS IN COASTAL REGIONS
Bibliographic record
Abstract
This thesis presents novel solutions of altimetry-gravimetry boundary value problems (AGBVPs) with compatibility (smoothness) conditions along the coastline for geoid determination. After an analysis of the state of the art for AGBVPs it was found that a lot of work has already been done in terms of theoretical problem formulation and solution investigation of AGBVPs. The conditions under which the solutions of different AGBVPs exist and are unique have been provided. It has been shown that without additional compatibility conditions along the coastline a solution with higher level of regularity does not exist. This was the starting point of this work and, after three preliminary experiments, it was found that the effect of smoothness along the coast line is significant for cm-geoid determination. Further theoretical investigations by the author resulted in the following achievements and contributions to local and regional determination of the geoid. The theory of spherical pseudo-differential operators (PDOs), spherical wavelets and spherical harmonics was combined for local and regional geoid determination in coastal areas. Using the theory of PDOs, it has been proven that the fixed AGBVP II has a unique solution and different
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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 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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".