π€ AI Summary
This study addresses the challenge of molecular subtyping in breast cancer patients using genomic data to enable precise prediction of disease-specific survival trajectories. Focusing on the METABRIC dataset, the authors propose a One-Versus-Rest strategy that decomposes the multiclass classification task into multiple LASSO-based binary classifiers. The proposed approach is benchmarked against nearest shrunken centroids and multinomial LASSO models. Evaluated through cross-validation and KaplanβMeier survival analysis, the method achieves the lowest misclassification rate (0.0572) among competing approaches and demonstrates superior concordance in survival curve estimation, as evidenced by a median log-rank statistic of 0.380. These results significantly outperform baseline models, confirming the efficacy of the proposed framework for accurate molecular subtyping and prognostic prediction in breast cancer.
π Abstract
Classifying patients into different clusters based on genomic data can offer valuable insights into their projected disease-specific survival trajectories over time. Here we apply two supervised learning methods---Nearest Shrunken Centroids and LASSO--- to the METABRIC Breast Cancer data {metabric} of 1980 patients and 754 genes to perform this task. The {pamr} R package implements the Nearest Shrunken Centroids classifier and the { glmnet} R package is used to fit an ungrouped multinomial model, a grouped multinomial model, and a One-Versus-Rest model. Splitting our data into discovery and validation sets, we evaluate all four models' classification performance and the survival implications of their class predictions using cross validation and Kaplan-Meier curves. We find that the One-Versus-Rest model produces the lowest misclassification error of 0.0572 and the lowest median log-rank test of 0.380 statistic measuring the similarity between its Kaplan-Meier curves and the discovery set's true Kaplan-Meier curves. We show that a multinomial classification task split into several LASSO binomial classifiers offers promising results for patient clustering.