Abstract:
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Mixture cure models have been widely used to analyze survival data for cancer, where many patients can be cured, manifesting in the data as long-term survivors of their disease. A mixture cure model is a survival model that incorporates a cure rate with the assumption that the population contains both uncured and cured individuals. Recently, several statistical methods have been proposed to develop a mixture cure model for survival data under competing risks. However, approaches for selecting features for predicting time-to-event outcome under competing risks using high-dimensional sparse data have been lacking for mixture cure models. In this study, we propose a boosting approach for fitting mixture cure models for high-dimensional sparse data under competing risks. We consider a component-wise boosting algorithm that minimizes squared error loss and iteratively and automatically selects features. We conduct a simulation study to compare the performance of the proposed method to existing approaches without a boosting. We apply our method to lung cancer data to identify features associated with risk of developing second primary lung cancer among lung cancer survivors.
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