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Model Card: Physics-Informed Stage 1 GP

Intended Use

The physics-informed GP studies active learning when a saturating mean function is available. It is an educational residual GP around a trainable mono-exponential mean, not a fully Bayesian posterior over physical parameters.

Inputs

  • Precursor dose in seconds.
  • Observed growth response.
  • Positive-constrained saturation and rate parameters.
  • GP residual settings and fallback policy.

Outputs

  • Posterior mean and uncertainty.
  • Trainable physical-mean parameters.
  • Threshold-oriented candidate proposals.
  • Fit warnings and fallback records.

Assumptions

  • A monotonic saturating trend is a useful inductive bias.
  • Residual deviations can be represented by a GP.
  • The virtual process is educational and simplified.

Known Limitations

  • The physical parameters are fitted point estimates.
  • Strongly misspecified or non-self-limited processes can still mislead the model.
  • Fallback to a generic GP is recorded when fitting fails.

Reproducibility

Runs record seeds, settings, fit warnings, fallback use, observations, and metrics.