@article{(Open Science Index):https://publications.waset.org/pdf/10013557, title = {Accelerating Quantum Chemistry Calculations: Machine Learning for Efficient Evaluation of Electron-Repulsion Integrals}, author = {Nishant Rodrigues and Nicole Spanedda and Chilukuri K. Mohan and Arindam Chakraborty}, country = {}, institution = {}, abstract = {A crucial objective in quantum chemistry is the computation of the energy levels of chemical systems. This task requires electron-repulsion integrals as inputs and the steep computational cost of evaluating these integrals poses a major numerical challenge in efficient implementation of quantum chemical software. This work presents a moment-based machine learning approach for the efficient evaluation of electron-repulsion integrals. These integrals were approximated using linear combinations of a small number of moments. Machine learning algorithms were applied to estimate the coefficients in the linear combination. A random forest approach was used to identify promising features using a recursive feature elimination approach, which performed best for learning the sign of each coefficient, but not the magnitude. A neural network with two hidden layers was then used to learn the coefficient magnitudes, along with an iterative feature masking approach to perform input vector compression, identifying a small subset of orbitals whose coefficients are sufficient for the quantum state energy computation. Finally, a small ensemble of neural networks (with a median rule for decision fusion) was shown to improve results when compared to a single network.}, journal = {International Journal of Nuclear and Quantum Engineering}, volume = {18}, number = {3}, year = {2024}, pages = {48 - 53}, ee = {https://publications.waset.org/pdf/10013557}, url = {https://publications.waset.org/vol/207}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 207, 2024}, }