Empirical Calibration

Description

Empirical calibration adjusts a model's predicted probabilities to match observed frequencies. For example, if events predicted with 80% confidence only occur 60% of the time, calibration would correct this overconfidence. Common techniques include Platt scaling and isotonic regression, which learn transformations that map the model's raw scores to well-calibrated probabilities, improving the reliability of confidence measures for downstream decisions.

Example Use Cases

Reliability

Adjusting a credit default prediction model's probabilities to ensure that loan applicants with a predicted 30% default risk actually default 30% of the time, improving decision-making.

Transparency

Calibrating a medical diagnosis model's confidence scores so that stakeholders can meaningfully interpret probability outputs, enabling doctors to make informed decisions about treatment urgency based on reliable confidence estimates.

Fairness

Ensuring that a hiring algorithm's confidence scores are equally well-calibrated across different demographic groups, preventing systematically overconfident predictions for certain populations that could lead to biased decision-making.

Limitations

  • Requires a separate held-out calibration dataset, which reduces the amount of data available for model training.
  • Calibration performance can degrade over time if the underlying data distribution shifts, requiring periodic recalibration.
  • May sacrifice some discriminative power in favour of calibration, potentially reducing the model's ability to distinguish between classes.
  • Calibration methods assume that the calibration set is representative of future data, which may not hold in dynamic environments.

Resources

google/empirical_calibration
Software Package
A Python Library For Empirical Calibration
Research PaperXiaojing Wang, Jingang Miao, and Yunting SunJul 25, 2019
Assessing the effectiveness of empirical calibration under different bias scenarios
Research PaperHon Hwang, Juan C Quiroz, and Blanca GallegoNov 8, 2021

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