Calibration

Definition

Calibration describes how well predicted probabilities line up with observed frequencies, so that events assigned a confidence level occur at roughly that rate over repeated cases.

Why It Matters

Confidence quality matters for decision-making, risk communication, selective prediction, and benchmark interpretation. A model that is accurate but miscalibrated can still be unreliable, while a perfectly calibrated model can still be uninformative.

Formalism / Key Objects

  • predicted confidence scores or probabilities
  • empirical event frequencies conditioned on those scores
  • reliability diagrams, calibration error summaries, and proper scoring rules such as the Brier Score

Connections

Common Confusions

  • Calibration is not the same thing as usefulness or discriminative power.
  • Better calibration after post-processing can come with worse refinement or resolution.
  • A single calibration number can hide important subgroup or confidence-range failures.

Key Sources