A Mathematical Framework to Analyze the Achievable Resolution From Microwave Tomography
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Bibliographic record
Abstract
A mathematical framework is proposed to investigate how different parameters affect the achievable resolution from microwave tomography (MWT). This framework attempts to incorporate multiple scattering events within the object of interest (OI) into its analysis by taking into account the effect of the induced total field within the OI. To this end, a linearized operator, which maps the OI's permittivity profile to the measured data, is first constructed. The framework then revolves around the number of the right singular vectors of this operator, and their spatial frequency contents that can be utilized in reconstruction. Furthermore, this framework is used to introduce the “best” possible reconstruction that can be achieved in a given MWT system when imaging a typical OI. This concept can then provide some insights and guidelines for MWT system design.
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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 | 0.000 | 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 | 0.000 |
| 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