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Efficient prediction for high precision CO-N2 potential energy surface by stacking ensemble DNN.

Shanshan Xu1, You Li2, Donghan Wang1

  • 1School of Information Science and Technology, Northeast Normal University, Changchun, China.

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Summary

We developed a machine learning model, stacking ensemble deep neural network (SeDNN), to accurately predict potential energy surfaces (PES) for van der Waals systems like CO-N2. This efficient tool achieves high accuracy even with reduced training data, aiding quantum dynamics research.

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deep learning ensemblefirst-principlesmachine learningpotential energy surface (PES)van der Waals systems

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Area of Science:

  • Computational Chemistry
  • Quantum Dynamics
  • Machine Learning Applications

Background:

  • High-dimensional potential energy surfaces (PES) are crucial for understanding van der Waals systems in quantum dynamics.
  • Developing accurate PESs for these systems presents significant computational challenges.

Purpose of the Study:

  • To establish an accurate, robust, and efficient machine learning model for constructing high-precision PESs for van der Waals systems.
  • To utilize the CO-N2 system as a benchmark for developing and validating the machine learning approach.

Main Methods:

  • Utilized benchmark potential energies for CO-N2 calculated via CCSD(T)-F12b/aug-cc-pVQZ.
  • Developed a stacking ensemble deep neural network (SeDNN) model using four molecular structure descriptors.
  • Trained and evaluated the model using 7966 benchmark potential energy points.

Main Results:

  • The SeDNN model achieved high accuracy with MAE, RMSE, and R² values of 0.096, 0.163, and 0.9999 cm⁻¹, respectively.
  • The predicted PES demonstrated spectroscopic accuracy for vibration spectra, showing excellent goodness-of-fit and prediction performance.
  • The model accurately reproduced CCSD(T) potential energies and critical points, even when trained on reduced datasets (down to 20%).

Conclusions:

  • The SeDNN model offers a promising and efficient alternative for constructing accurate potential energy surfaces for van der Waals systems.
  • The developed model demonstrates superior performance and robustness, applicable to complex molecular interactions.
  • This approach facilitates advancements in quantum dynamics simulations by providing reliable PESs.