通过机器学习的校正来缓解密度函数近似中的错误取消
Zipeng An1, JingChun Wang2, Yapeng Zhang1
1Hefei National Research Center for Physical Sciences at the Microscale and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
机器学习通过纠正B3LYP的功能错误来提高密度函数理论的准确性. 这种新的方法使用绝对能量,提高预测,而不依赖于系统依赖的错误取消可靠的化学能量计算.
科学领域:
- 计算化学是一种计算化学.
- 材料科学是一种材料科学.
- 量子力学就是量子力学.
背景情况:
- 密度函数近似 (DFAs) 是广泛使用的,但受到系统依赖的错误取消的限制.
- 在热化学和动能预测中实现高精度通常依赖于此类错误取消,阻碍可转移性.
- 机器学习 (ML) 集成提供了一条改善DFA准确性和可靠性的途径.
研究的目的:
- 为B3LYP函数开发一种基于ML的新型校正,直接解决它与精确交换相关函数的偏差.
- 创建一个可转移和准确的DFA,而不依赖于错误取消.
- 增强密度函数理论 (DFT) 对于化学能计算的预测能力.
主要方法:
- 开发了一个ML模型来纠正B3LYP函数,使用高度准确的绝对能量作为参考数据.
- 将错误归因于对ML模型优化实时空间点向贡献的错误.
- 实施了一种双循环协议,将自一致场 (SCF) 计算纳入培训工作流.
主要成果:
- 经ML校正的B3LYP函数证明了计算相对能量的准确性提高.
- 完全在绝对能量上训练的ML模型成功地消除了对错误取消的需求.
- 综合性基准证实了热化学和动能计算的显著性能改进与原来的B3LYP相比.
结论:
- 通过直接针对功能错误,绕过错误取消的局限性,可以构建强大而准确的DFA.
- 经过ML校正的B3LYP函数为各种计算化学应用提供了多功能和优越的替代方案.
- 这种方法为开发更准确和可转移的密度功能方法提供了一个有希望的策略.
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