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Paper · arXiv

Crossing-Free Probabilistic K-Line Forecasts Without Retraining

Probabilistic K-line forecasting describes uncertainty in four complementary prices, namely open--high--low--close (OHLC). However, it introduces two consistency problems: quantile crossing and K-line crossing. Quantile crossing occurs when a higher-quantile forecast falls below a lower-quantile forecast, while K-line crossing occurs when the forecast low exceeds the open or close, or the forecast high falls below the open or close. Existing solutions generally address only one problem through output reordering, specialized architectures, or penalized training objectives. We propose K-line--Quantile Sequential Projection (KQSP), a parameter-free and training-free reconciliation method app...

AuthorsRunyao Yu, Yuchen Tao, Yujie Chen et al.
Primary categorystat.ML
Published29 July 2026
Last updated at source29 July 2026
stat.MLcs.AIcs.CEcs.LGq-fin.CP
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