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应用“套索”回归预测中央10度青光眼视野的未来进展。

Applying "Lasso" Regression to Predict Future Glaucomatous Visual Field Progression in the Central 10 Degrees.

作者信息

Fujino Yuri, Murata Hiroshi, Mayama Chihiro, Matsuo Hiroshi, Asaoka Ryo

机构信息

*Department of Ophthalmology, Graduate School of Medicine, The University of Tokyo †Matsuo Eye Clinic, Tokyo, Japan.

出版信息

J Glaucoma. 2017 Feb;26(2):113-118. doi: 10.1097/IJG.0000000000000577.

Abstract

PURPOSE OF THE STUDY

We recently reported that it is beneficial to apply least absolute shrinkage and selection operator (Lasso) regression to predict future 24-2 visual field (VF) progression. The purpose of the current study was to investigate the usefulness of Lasso regression to predict VF progression in the central 10 degrees (10-2) in glaucoma patients.

METHODS

Series of 10 VFs (Humphrey Field Analyzer 10-2 SITA-standard) from each of 149 eyes in 110 open angle glaucoma patients, obtained over 5.7±1.4 years (mean±SD) were investigated. Mean deviation values of the 10th VF were predicted using varying numbers of VFs (ranging from the first to third VFs to the first to ninth VFs), applying ordinary least square regression (OLSLR) and Lasso regression. Absolute prediction errors were then compared.

RESULTS

With OLSLR, prediction error varied between 5.4±5.0 (using first to third VFs) and 1.1±1.6 dB (using first to ninth VFs). Significantly smaller prediction errors were obtained with Lasso regression, in particular with small numbers of VFs (from 2.1±2.8: first to third VFs, to 1.0±1.6 dB: first to ninth VFs). A large λ value, which is an index showing the degree of penalty in Lasso regression, was observed when a small number of VFs were used for prediction.

CONCLUSION

Mean deviation prediction using OLSLR with a small number of VFs resulted in large prediction errors. It was useful to apply Lasso regression when predicting future progression of the central 10 degrees, compared to OLSLR.

摘要

研究目的

我们最近报告称,应用最小绝对收缩和选择算子(Lasso)回归来预测未来24-2视野(VF)进展是有益的。本研究的目的是探讨Lasso回归在预测青光眼患者中央10度(10-2)VF进展中的实用性。

方法

对110例开角型青光眼患者的149只眼中每只眼的10次VF系列检查(Humphrey视野分析仪10-2 SITA标准)进行研究,这些检查是在5.7±1.4年(平均±标准差)内获得的。使用不同数量的VF(范围从第一次到第三次VF到第一次到第九次VF),应用普通最小二乘回归(OLSLR)和Lasso回归来预测第10次VF的平均偏差值。然后比较绝对预测误差。

结果

使用OLSLR时,预测误差在5.4±5.0(使用第一次到第三次VF)到1.1±1.6 dB(使用第一次到第九次VF)之间变化。使用Lasso回归获得的预测误差明显更小,特别是在VF数量较少时(从2.1±2.8:第一次到第三次VF,到1.0±1.6 dB:第一次到第九次VF)。当使用少量VF进行预测时,观察到一个大的λ值,它是显示Lasso回归中惩罚程度的指标。

结论

使用少量VF的OLSLR进行平均偏差预测会导致较大的预测误差。与OLSLR相比,在预测中央10度的未来进展时应用Lasso回归是有用的。

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