A new approach for the prediction of partition functions using machine learning techniques
Caroline Desgranges1, Jerome Delhommelle1
1Department of Chemistry, University of North Dakota, 151 Cornell Street Stop 9024, Grand Forks, North Dakota 58202, USA.
Machine learning accurately predicts thermodynamic properties of fluids, including Gibbs and Helmholtz free energy, and entropy. This method uses neural networks trained on simulation data, enabling rapid property assessment without further simulations.
Area of Science:
- Thermodynamics
- Computational Chemistry
- Materials Science
Background:
- Predicting thermodynamic properties of atomic and molecular fluids is crucial for materials science and chemistry.
- Traditional simulation methods can be computationally expensive and time-consuming.
Purpose of the Study:
- To develop a machine learning (ML) approach for rapid and accurate prediction of fluid thermodynamic properties.
- To eliminate the need for extensive simulations in determining properties like Gibbs free energy, Helmholtz free energy, and entropy.
Main Methods:
- Training neural networks using results from flat-histogram simulations as a reference.
- Utilizing trained neural network weights to predict partition functions and thermodynamic properties.
- Validating ML predictions against experimental data and existing simulation results for argon, CO2, and water.
Main Results:
- ML predictions show excellent agreement with experimental and simulation data for thermodynamic properties.
- Highly accurate predictions for Gibbs free energy, Helmholtz free energy, and entropy across wide temperature and pressure ranges.
- The ML approach provides instant access to thermodynamic properties, including phase coexistence conditions.
Conclusions:
- The developed ML approach offers a computationally efficient alternative to traditional simulations for predicting fluid properties.
- This method accelerates the screening of new materials and the parameterization of force fields.
- Instantaneous access to thermodynamic data (G, A, S) facilitates faster scientific discovery and engineering applications.
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Prediction Intervals
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.
