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Article

XGBoost and Artificial Neural Networks as Surrogate Models for Vapor–Liquid Equilibrium in PC-SAFT

Department of Chemical Engineering, Beijing University of Chemical Technology, Beijing 100029, China
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Authors to whom correspondence should be addressed.
Processes 2025, 13(12), 3918; https://doi.org/10.3390/pr13123918
Submission received: 15 October 2025 / Revised: 22 November 2025 / Accepted: 27 November 2025 / Published: 4 December 2025
(This article belongs to the Section AI-Enabled Process Engineering)

Abstract

Phase equilibrium calculations are crucial in chemical engineering design and optimization processes. The PC-SAFT equation of state (EoS) can precisely calculate phase equilibrium, but is relatively complex and computationally intensive. Surrogate models are mathematically simple models that map or regress the input–output relationships of more complex, computationally demanding models. This work employs XGBoost and a hybrid XGBoost-artificial neural networks (XGBoost-ANN) model as surrogate models to replace PC-SAFT EoS calculations for the vapor–liquid equilibrium (VLE) of binary associating systems. This work investigates the VLE of five binary associating systems using data generated by the PC-SAFT EoS. The surrogate models take temperature, pressure, liquid phase mole fractions, and the PC-SAFT parameters for binary associating systems as inputs, and predict the vapor phase mole fractions. Both surrogate models significantly reduce the computational time for calculating VLE data compared to the PC-SAFT EoS, while achieving good prediction results.
Keywords: surrogate models; XGBoost; XGBoost-ANN; PC-SAFT surrogate models; XGBoost; XGBoost-ANN; PC-SAFT

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MDPI and ACS Style

Pang, Y.; Ding, Z.; Li, Q. XGBoost and Artificial Neural Networks as Surrogate Models for Vapor–Liquid Equilibrium in PC-SAFT. Processes 2025, 13, 3918. https://doi.org/10.3390/pr13123918

AMA Style

Pang Y, Ding Z, Li Q. XGBoost and Artificial Neural Networks as Surrogate Models for Vapor–Liquid Equilibrium in PC-SAFT. Processes. 2025; 13(12):3918. https://doi.org/10.3390/pr13123918

Chicago/Turabian Style

Pang, Yiwen, Zhongwei Ding, and Qunsheng Li. 2025. "XGBoost and Artificial Neural Networks as Surrogate Models for Vapor–Liquid Equilibrium in PC-SAFT" Processes 13, no. 12: 3918. https://doi.org/10.3390/pr13123918

APA Style

Pang, Y., Ding, Z., & Li, Q. (2025). XGBoost and Artificial Neural Networks as Surrogate Models for Vapor–Liquid Equilibrium in PC-SAFT. Processes, 13(12), 3918. https://doi.org/10.3390/pr13123918

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