.png){kind=icon}
返回
Active learning algorithm for computational physics
.png){kind=icon}
OA
AI
DOI：10.1103/PhysRevResearch.2.013287.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In large-scale computations of physical problems, one often encounters the situation of having to determine a multidimensional function, which can be numerically costly when computing each point in this multidimensional space is already time-demanding. In the work, we propose that the active learning algorithm can speed up such calculations. The basic idea is to fit a multidimensional function by neural networks, and the key point is to make the query of labeled data more economical by using a strategy called query by committee. We present the general protocol of this fitting scheme, as well as the procedure of how to further compute physical observables with the fitted functions. We show that this method can work well with two examples, which are the quantum three-body problem in atomic physics and the anomalous Hall conductivity in condensed matter physics, respectively. In these examples, we show that one reaches an accuracy of a few percent error in computing physical observables, all the while using fewer than 10% of total data points compared with uniform sampling. With these two examples, we also visualize that by using the active learning algorithm, the required amount of data points are added mostly in the regime where the function varies most rapidly, which explains the mechanism for the efficiency of the algorithm. We expect broad applications of our method to various kinds of computational physical problems.
Keyword:
PHASE-TRANSITIONS
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
4.2
论文数:
7.6K
被引数:
2.7W
机构
引用论文
wannier90: A tool for obtaining maximally-localised Wannier functionswannier90: 一种获得最大本地化Wannier函数的工具OAAI
OAAI分享收藏Large anomalous Hall effect driven by a nonvanishing Berry curvature in the noncolinear antiferromagnet Mn3Ge.png)
SCIENCE ADVANCESOAAI
SCIENCE ADVANCESIF12.5
OAAI分享收藏Parameter estimation of proton exchange membrane fuel cell using a novel meta-heuristic algorithm
PREAI
分享收藏分享收藏Incentive Based Multi-Objective Optimization in Electric Vehicle Navigation including Battery Charging含电池充电的电动汽车导航中基于激励的多目标优化OAAI
OAAI分享收藏Accelerated continuous time quantum Monte Carlo method with machine learningPHYSICAL REVIEW BOAAI
PHYSICAL REVIEW BIF3.7
OAAI分享收藏
查看更多内容