Central-Node Approach for Accurate Self-Adjoint Sensitivity Analysis of Dielectric Structures
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Bibliographic record
Abstract
The field solution at the perturbation grid points is needed to perform sensitivity analysis using adjoint approaches. On the other hand, the field solutions provided by time-domain solvers are the least accurate at dielectric interfaces, especially in the case of significant losses. These interfaces are the places where some or all perturbation grid points reside. We propose a central-node approach for the case of dielectric mediums with or without loss. The accuracy of this approach is one order higher than that of our original adjoint approach in the case of dielectric discontinuities, while the computational efficiency remains the same. Verification is carried out through examples using commercial finite-difference time-domain solvers.
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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 | 0.001 | 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)
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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