Tootfinder

Biomarkers selection and combination based on the weighted Youden index
Ao Sun, Zhanwang Deng, Jiahui Zhao, Hang Li, Xiao-Hua Zhou
https://arxiv.org/abs/2509.02090 https://

Biomarkers selection and combination based on the weighted Youden index
In clinical practice, multiple biomarkers are used for disease diagnosis, but their individual accuracies are often suboptimal, with only a few proving directly relevant. Effectively selecting and combining biomarkers can significantly improve diagnostic accuracy. Existing methods often optimize metrics like the Area Under the ROC Curve (AUC) or the Youden index. However, optimizing AUC does not yield estimates for optimal cutoff values, and the Youden index assumes equal weighting of sensitivi…

ROC curves for LDA classifiers
Mateusz Krukowski
https://arxiv.org/abs/2507.18307 https://arxiv.org/pdf/2507.18307

ROC curves for LDA classifiers
In the paper, we derive an analytic formula for the ROC curves of the LDA classifiers. We establish elementary properties of these curves (monotonicity and concavity) and provide formulae for the area under curve (AUC) and the Youden J-index.