Time-to-Event Prediction with Neural Networks and Cox Regression

By Håvard Kvamme, Ørnulf Borgan, Ida Scheel. Journal of machine learning research, 2019

466 citations recorded by the source corpus.

New methods for time-to-event prediction are proposed by extending the Cox proportional hazards model with neural networks. Building on methodology from nested case-control studies, we propose a loss function that scales well to large data sets, and enables fitting of both proportional and non-proportional extensions of the Cox model. Through simulation studies, the proposed loss function is verified to be a good approximation for the Cox partial log-likelihood. The proposed methodology is compared to existing methodologies on real-world data sets, and is found to be highly competitive, typically yielding the best performance in terms of Brier score and binomial log-likelihood. A python package for the proposed methods is available at this https URL.

Subfields: Epidemiology, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c3ab842222ad344873f5aba059169d2718a9bca7

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In Statistics and Probability

  1. Sebastian Pölsterl

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