DeepComp: Which Competing Event Will Hit the Patient First?

When taking care of complex patients with multiple morbidities, accurately predicting the occurrence of each cause-specific event is critical for designing optimal treatment plans. However, standard survival analysis cannot deal with the multiple (usually competing) adverse events and views those competing events as censored. This will result in biased estimation of the incidence rate. In this paper, we propose a deep learning based survival analysis algorithm called DeepComp to jointly predict the progress of the competing events, which can thus inform the doctors which event is more likely to hit the patient first. DeepComp constructs a multi-task recurrent neural network (RNN) and views the conditional probability of each competing event at each time point as the output of each RNN cell. Then the probability chain rule is utilized to combine them together. In this way, the survival probability and the risk for each competing event over the time space are obtained. The multitask structure not only prevents the model from unreasonable censoring but also aids the model in capturing the complex hidden association among the competing events. A novel penalty is added to the loss function to better discriminate the competing risks for each particular patient, which could benefit treatment decision-making. We conduct comprehensive experiments on two real-world clinical data sets and one synthetic data set. The proposed DeepComp method achieves significant performance improvement compared to the state-of-the-art baseline methods.

[1]  Robert Gray,et al.  A Proportional Hazards Model for the Subdistribution of a Competing Risk , 1999 .

[2]  Natalie Armstrong,et al.  Overdiagnosis and overtreatment as a quality problem: insights from healthcare improvement research , 2018, BMJ Quality & Safety.

[3]  Hemant Ishwaran,et al.  Random Survival Forests , 2008, Wiley StatsRef: Statistics Reference Online.

[4]  Mei-Jie Zhang,et al.  Modeling cumulative incidence function for competing risks data , 2008, Expert review of clinical pharmacology.

[5]  Anne-Laure Boulesteix,et al.  Investigating the prediction ability of survival models based on both clinical and omics data: two case studies , 2014, Statistics in medicine.

[6]  Elisa T. Lee,et al.  Statistical Methods for Survival Data Analysis , 1994, IEEE Transactions on Reliability.

[7]  E. Kaplan,et al.  Nonparametric Estimation from Incomplete Observations , 1958 .

[8]  Changhee Lee,et al.  DeepHit: A Deep Learning Approach to Survival Analysis With Competing Risks , 2018, AAAI.

[9]  Jason P. Fine,et al.  Statistical Primer for Cardiovascular Research Introduction to the Analysis of Survival Data in the Presence of Competing Risks , 2022 .

[10]  Carmine Zoccali,et al.  When do we need competing risks methods for survival analysis in nephrology? , 2013, Nephrology, dialysis, transplantation : official publication of the European Dialysis and Transplant Association - European Renal Association.

[11]  Theresa M. Beckie,et al.  Cardiovascular Disease and Breast Cancer: Where These Entities Intersect A Scientific Statement From the American Heart Association , 2018, Circulation.

[12]  M. Verduijn,et al.  The analysis of competing events like cause-specific mortality--beware of the Kaplan-Meier method. , 2011, Nephrology, dialysis, transplantation : official publication of the European Dialysis and Transplant Association - European Renal Association.

[13]  F. Harrell,et al.  Regression modelling strategies for improved prognostic prediction. , 1984, Statistics in medicine.

[14]  Qi Hua,et al.  Rationale and design of the Chinese Atrial Fibrillation Registry Study , 2016, BMC Cardiovascular Disorders.

[15]  Lei Zheng,et al.  Deep Recurrent Survival Analysis , 2018, AAAI.

[16]  Ahmed M. Alaa,et al.  Deep Multi-task Gaussian Processes for Survival Analysis with Competing Risks , 2017, NIPS.

[17]  Nathaniel Osgood,et al.  Methods of competing risks analysis of end-stage renal disease and mortality among people with diabetes , 2010, BMC medical research methodology.

[18]  Ewout W Steyerberg,et al.  Extensions of net reclassification improvement calculations to measure usefulness of new biomarkers , 2011, Statistics in medicine.

[19]  Hemant Ishwaran,et al.  Evaluating Random Forests for Survival Analysis using Prediction Error Curves. , 2012, Journal of statistical software.