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arXiv 2207.02417quant-phphysics.comp-ph
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耗散量子动力学中不同机器学习方法的比较研究

A comparative study of different machine learning methods for dissipative quantum dynamics

Luis E. Herrera Rodriguez, Arif Ullah, Kennet J. Rueda Espinosa, Pavlo O. Dral, Alexei A. Kananenka

AI总结:

本文基准测试了22种机器学习模型预测耗散二能级量子系统长时间动力学的能力,发现非线性核岭回归成本低且准确,卷积门控循环单元是最有效的人工神经网络模型。

摘要:

最近的研究表明,监督机器学习(ML)算法能够在仅给定短时布居动力学的情况下,准确且高效地预测耗散量子系统的长时间布居动力学。在本文中,我们对22个ML模型进行了基准测试,评估它们预测与谐振子浴线性耦合的二能级量子系统长时间动力学的能力。这些模型包括单向和双向循环、卷积和全连接前馈人工神经网络(ANN),以及带有线性和最常用非线性核的核岭回归(KRR)。我们的结果表明,在输入轨迹长度恒定的适用情况下,带有非线性核的KRR可以作为一种成本低廉且准确的长时间动力学模拟方法。卷积门控循环单元模型被发现是最有效的ANN模型。

英文摘要:

It has been recently shown that supervised machine learning (ML) algorithms can accurately and efficiently predict the long-time populations dynamics of dissipative quantum systems given only short-time population dynamics. In the present article we benchmaked 22 ML models on their ability to predict long-time dynamics of a two-level quantum system linearly coupled to harmonic bath. The models include uni- and bidirectional recurrent, convolutional, and fully-connected feed-forward artificial neural networks (ANNs) and kernel ridge regression (KRR) with linear and most commonly used nonlinear kernels. Our results suggest that KRR with nonlinear kernels can serve as inexpensive yet accurate way to simulate long-time dynamics in cases where the constant length of input trajectories is appropriate. Convolutional Gated Recurrent Unit model is found to be the most efficient ANN model.

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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