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Conformal Quantile Regression
Conformal Quantile Regression was introduced in Romano, Patterson & Candès and is a variant of quantile regression which calibrates the prediction intervals, yielding narrower intervals, while preserving theoretical coverage guarantees.
This could potentially be built into QuantileLinearRegression via a conformal argument.
Dan, you might be interested in this link
https://github.com/valeman/awesome-conformal-prediction
Not sure if It is the right place for this message.
Since you mentioned Future work, you want to add support for neural networks. I would like to recommend looking into this paper: High-Quality Prediction Interval.
- https://arxiv.org/pdf/1802.07167.pdf
- https://github.com/TeaPearce/Deep_Learning_Prediction_Intervals
I started this notebook (WIP): https://github.com/leandroohf/machine_learning_algorithms/blob/master/dev/intro_to_prediction_interval.ipynb
and while doing my research, I discovered your packet doubt and decided to try.