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Koopmans' Theorem-Compliant Long-Range Corrected (KTLC) Density Functional Mediated by Black-Box Optimization and
Kei Terayama1,2,3, Yamato Osaki4, Takehiro Fujita5
1Graduate School of Medical Life Science, Yokohama City University, 1-7-29 Suehiro-cho, Tsurumi-ku Kanagawa 230-0045, Japan.
Bayesian optimization efficiently tunes density functional theory (DFT) parameters for accurate molecular property prediction. This method, applied to range-separated functionals, yields results comparable to experimental data and enables machine learning model development.
Area of Science:
- Computational chemistry
- Materials science
- Quantum mechanics
Background:
- Density functional theory (DFT) is crucial in chemistry, physics, and materials science.
- Accurate molecular property prediction requires precise functional parameterization in DFT.
- Existing DFT functionals often need molecule-specific parameter adjustments.
Purpose of the Study:
- To optimize parameters of range-separated functionals (LC-BLYP, CAM-B3LYP) using Bayesian optimization (BO).
- To ensure optimized functionals satisfy Koopmans' theorem for improved accuracy.
- To develop a machine learning model for predicting optimal DFT parameters.
Main Methods:
- Bayesian optimization (BO) was employed to tune parameters of LC-BLYP and CAM-B3LYP functionals.
- Koopmans' theorem was used as the optimization target criterion.
- A dataset of over 3000 molecules was generated for training a machine learning model.
Main Results:
- Bayesian optimization effectively optimized functional parameters.
- The Koopmans' theorem-compliant LC-BLYP (KTLC-BLYP) achieved accuracy comparable to experimental UV-absorption values.
- A machine learning model was successfully developed to predict LC-BLYP parameters.
Conclusions:
- Bayesian optimization is a powerful tool for refining DFT functionals.
- KTLC-BLYP shows significant potential for accurate molecular property prediction.
- The developed machine learning approach facilitates automated parameter prediction for DFT.
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