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Paper · arXiv

Convolution Smoothed Quantile Regression for XGBoost

The increasing availability of large and complex datasets across many scientific disciplines has led to widespread adoption of machine learning (ML) for prediction. However, most ML algorithms focus on point estimation and provide limited information about predictive uncertainty or the conditional distribution of the response, restricting their ability to characterize rare or extreme outcomes. We develop QXGB, a quantile-based gradient boosting framework, and introduce a convolution smoothed loss within it that estimates conditional quantiles for constructing dense cumulative distribution functions (CDFs), exceedance probabilities, and tail behaviour relevant to extreme outcomes. This app...

AuthorsMandy Yao, Meredith Franklin
Primary categorystat.ML
Published15 August 2026
Last updated at source15 August 2026
stat.MLcs.LG
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