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arXiv 2012.11183hep-lat
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用于误差分析的自动微分

Automatic differentiation for error analysis

Alberto Ramos

摘要:

我们提出了ADerrors.jl,一个软件的线性误差传播和蒙特卡罗数据分析。虽然重点是在格点量子色动力学的数据分析,其中估计的观测值必须计算从蒙特卡罗样本,该软件还处理变量的不确定性,相关或不相关。由于自动微分技术,即使在迭代算法中(即非线性拟合参数中的误差),线性误差传播也能精确执行。在这方面的贡献,我们提出了一个概述的软件的功能,包括访问拟合参数的不确定性和处理相关数据。该软件是用julia编写的,可在https://gitlab.ift.uam-csic.es/alberto/aderrors.jl下载和使用。

英文摘要:

We present ADerrors.jl, a software for linear error propagation and analysis of Monte Carlo data. Although the focus is in data analysis in Lattice QCD, where estimates of the observables have to be computed from Monte Carlo samples, the software also deals with variables with uncertainties, either correlated or uncorrelated. Thanks to automatic differentiation techniques linear error propagation is performed exactly, even in iterative algorithms (i.e. errors in parameters of non-linear fits). In this contribution we present an overview of the capabilities of the software, including access to uncertainties in fit parameters and dealing with correlated data. The software, written in julia, is available for download and use in https://gitlab.ift.uam-csic.es/alberto/aderrors.jl

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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