2022

Conformal Prediction with Temporal Quantile Adjustments

Lin, Zhen, Trivedi, Shubhendu, Sun, Jimeng

Understand

We develop Temporal Quantile Adjustment (TQA), a general method to construct efficient and valid prediction intervals (PIs) for regression on cross-sectional time series data.

  • Such data is common in many domains, including econometrics and healthcare.
  • A canonical example in healthcare is predicting patient outcomes using physiological time-series data, where a population of patients composes a cross-section.
  • Reliable PI estimators in this setting must address two distinct notions of coverage: cross-sectional coverage across a cross-sectional slice, and longitudinal coverage along the temporal dimension for each time series.

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