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I would like to confirm my understanding of how the prediction interval (e.g., pred 0.9) is defined and implemented in the model. When setting pred 0.9, does it indicate that the true value is expected to fall within this interval with a probability of 90%? Regarding the source of uncertainty in interval prediction: By model uncertainty, I refer to cases where, even with the same input and fixed model parameters, the model output may vary due to stochastic components (e.g., dropout, sampling, or ensemble randomness). Could you please clarify which type(s) of uncertainty are considered in our implementation when generating the prediction intervals? Your insights would be greatly appreciated. |
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@Claire-bx taking the 0.9 prediction gives you the 0.9 quantile: the true value is expected to fall below this level 90% of the time. This is an estimate of the distribution width learned from the data: Chronos models obtain this via sampling, Chronos-Bolt models instead were trained with a quantile regression objective, so they output the quantile estimates directly. |
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@Claire-bx taking the 0.9 prediction gives you the 0.9 quantile: the true value is expected to fall below this level 90% of the time.
This is an estimate of the distribution width learned from the data: Chronos models obtain this via sampling, Chronos-Bolt models instead were trained with a quantile regression objective, so they output the quantile estimates directly.