Application of Polynomial Chaos to Quantify Uncertainty in Deterministic Channel Models
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Bibliographic record
Abstract
A non-intrusive formulation of the polynomial chaos method is applied to quantify the uncertainties in deterministic models of the indoor radio channel. Deterministic models based on the finite-difference time-domain (FDTD) method and ray tracing are examined. Various sources of parameter uncertainty are considered, including randomness in the material properties, building geometry, and the spatial location of transmitting and receiving antennas. The polynomial chaos results are confirmed against Monte Carlo simulations and experimental measurements. The analysis shows the expected variation in the sector-averaged path loss can be considerable for relatively small input parameter uncertainties, leading to the conclusion that a single simulation run using `nominal values' may be insufficient to adequately characterize the indoor radio channel.
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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 | 0.000 |
| 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