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arXiv 2403.03286physics.chem-phcond-mat.dis-nnphysics.comp-phquant-ph
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用于从头算量子化学的神经网络回流

Neural network backflow for ab-initio quantum chemistry

An-Jun Liu, Bryan K. Clark

AI总结:

本研究提出用神经网络回流波函数结合基于SCI的确定性优化方案变体,获得分子哈密顿量的最优能量,效果优于CCSD及其他神经网络量子态,并探究了网络与优化参数对能量精度的影响。

摘要:

二次量子化量子化学哈密顿量的基态可用于获取一组重要的化学性质。基于机器学习架构的波函数已在多种物理系统中展现出近似这些基态的潜力。在本研究中,我们展示了如何利用神经网络回流波函数(neural network backflow wave-function,简称NNBF)获得分子哈密顿量的当前最优能量。为实现这一目标,我们采用基于SCI的确定性优化方案的变体来优化该拟设,该方案由Li等人在2023年的《化学理论与计算杂志》(JCTC)中提出,我们发现其效果优于标准马尔可夫链蒙特卡洛(MCMC)采样。对于我们研究的分子,NNBF得到的能态能量低于耦合簇单双激发方法(CCSD)及其他神经网络量子态。我们系统探究了网络规模与优化参数在提升能量精度方面的作用。研究发现,隐藏层数量和行列式数量对能量提升的作用较小,而增加隐藏单元数量以及优化中使用的批量大小可显著提升能量精度,其中批量大小的作用更为重要。

英文摘要:

The ground state of second-quantized quantum chemistry Hamiltonians provides access to an important set of chemical properties. Wavefunctions based on ML architectures have shown promise in approximating these ground states in a variety of physical systems. In this work, we show how to achieve state-of-the-art energies for molecular Hamiltonians using the the neural network backflow wave-function. To accomplish this, we optimize this ansatz with a variant of the deterministic optimization scheme based on SCI introduced by [Li, et. al JCTC (2023)] which we find works better than standard MCMC sampling. For the molecules we studied, NNBF gives lower energy states than both CCSD and other neural network quantum states. We systematically explore the role of network size as well as optimization parameters in improving the energy. We find that while the number of hidden layers and determinants play a minor role in improving the energy, there is significant improvements in the energy from increasing the number of hidden units as well as the batch size used in optimization with the batch size playing a more important role.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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