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Leave a Window Out: Modifying the Jackknife for Predictive Inference in Time Series

留出一个窗口:用于时间序列预测推断的 Jackknife 修正

Conformal prediction methods enjoy strong theoretical and empirical predictive inference performance, provided the data is exchangeable and is treated symmetrically during training. However, these assumptions are impractical in many settings, such as time series, where temporal dependence violates exchangeability and it is preferable to use predictors that leverage dependence by treating data asymmetrically. Recent work shows that split conformal prediction is robust to…

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Predictive inference for time series: why is split conformal effective despite temporal dependence?

时间序列预测推断:时间依赖下拆分共形预测为何仍然有效?

We consider the problem of uncertainty quantification for prediction in a time series: if we use past data to forecast the next time point, can we provide valid prediction intervals around our forecasts? To avoid placing distributional assumptions on the data, in recent years the conformal prediction method has been a popular approach for predictive inference, since it provides distribution-free coverage for any iid or exchangeable data distribution. However, in the time…

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