This is the source code of the paper "Causal Feature Selection Framework for Stable Soft Sensor Modeling based on Time-Delayed Cross Mapping"
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Chen, Shi-Shun, Xiao-Yang Li, and Enrico Zio. "Causal Feature Selection Framework for Stable Soft Sensor Modeling based on Time-Delayed Cross Mapping." Advanced Engineering Informatics, 2026, 71: 104337.
PDF: https://dirge1.github.io/shishun_chen.github.io/papers/Chen2026_AEI_TDPCM.pdf
Paper link: https://www.sciencedirect.com/science/article/pii/S1474034626000297
• Varying causal strength across time delay is considered for feature selection.
• State space reconstruction is employed to deal with interdependent variables.
• Time-delayed partial cross mapping is proposed for direct causal inference.
• Features are selected automatically via causal strength and validation performance.
• Features selected by direct causality can enhance model stability.
The folder 1. case_de contains the source code of the Debutanizer Column case.
In the folder, 1. causal inference contains the causal inference code using TDCCM and TDPCM; 2. soft sensor modelling contains the soft sensor modeling code using the results of TDCCM and TDPCM.
We have identified some errors in the main body of our articles, which are related to the missing index number of the equation. This error was accidentally introduced during pulication. The corrected PDF is provided below.
PDF: https://dirge1.github.io/shishun_chen.github.io/papers/Chen2026_AEI_TDPCM.pdf