A volumetric integral equation formulation for magnetic induction tomography
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Bibliographic record
Abstract
In magnetic induction tomography of biological tissue, an alternating magnetic field is used to induce eddy currents inside tissues, which in turn generate a secondary magnetic field. This perturbation of the field depends on the dielectric properties of the tissue and, through resolution of the inverse problem, a map of these properties can be reconstructed. Current state-of-art methods either rely on the quasi-static and low conductivity approximations or are based on differential solvers or surface integral equations. A formulation based on volumetric integral equations offers clear advantages such as a better accuracy than the approximative methods, a smaller solution domain than differential solvers and a better conditionning than surface integral methods. The aim of this paper is to formulate the eddy current problem in terms of a volume integral equation and to show its validity.
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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 | 0.001 | 0.003 |
| 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 it