Efficient regularized estimation of graphical proportional hazards model with interval-censored data

Variable selection is discussed in many cases in survival analysis. In particular, the analysis of using proportional hazards (PH) models to deal with censored survival data has established a large amount of literature. Based on interval-censored data, this paper discusses the situation of complex network structures existing in covariates. To address the issue, a more flexible and versatile PH model has been developed by combining probabilistic graphical models with PH models, to describe the correlation between covariates. Based on the block coordinate descent method, a penalized estimation method is proposed, which can simultaneously perform variable selection and parameter estimation. The effectiveness of the proposed model and its parameter estimation method are evaluated through simulation studies and the analysis of clinical trial data related to Alzheimer's disease, confirming the reliability and accuracy of the proposed model and method.