Validation of experimental charge-density refinement strategies: when do we overfit?

IUCrJ

Herbst-Irmer, R.¹  Schürmann, C.J.¹  Krause, L.¹  Niepötter, B.¹  Stalke, D.¹ 

[1] Institut für Anorganische Chemie, Universität Göttingen, Tammannstraße 4, Göttingen 37077, Germany

关键词: CHARGE DENSITY;    CROSS-VALIDATION;    ERROR DETECTION;    RFREE;    REFINEMENT STRATEGIES;   

DOI  :  10.1107/S2052252517005103

学科分类：数学（综合）

来源: International Union of Crystallography

【 摘 要 】

A cross-validation method is supplied to judge between various strategies in multipole refinement procedures. Its application enables straightforward detection of whether the refinement of additional parameters leads to an improvement in the model or an overfitting of the given data. For all tested data sets it was possible to prove that the multipole parameters of atoms in comparable chemical environments should be constrained to be identical. In an automated approach, this method additionally delivers parameter distributions of k different refinements. These distributions can be used for further error diagnostics, e.g. to detect erroneously defined parameters or incorrectly determined reflections. Visualization tools show the variation in the parameters. These different refinements also provide rough estimates for the standard deviation of topological parameters.

【 授权许可】

CC BY