The Concordance Index decomposition: A measure for a deeper understanding of survival prediction models

Fuente: arXiv
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Autori principali: Alabdallah, Abdallah, Ohlsson, Mattias, Pashami, Sepideh, Rögnvaldsson, Thorsteinn
Natura: Preprint
Pubblicazione: 2022
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author Alabdallah, Abdallah
Ohlsson, Mattias
Pashami, Sepideh
Rögnvaldsson, Thorsteinn
author_facet Alabdallah, Abdallah
Ohlsson, Mattias
Pashami, Sepideh
Rögnvaldsson, Thorsteinn
contents The Concordance Index (C-index) is a commonly used metric in Survival Analysis for evaluating the performance of a prediction model. In this paper, we propose a decomposition of the C-index into a weighted harmonic mean of two quantities: one for ranking observed events versus other observed events, and the other for ranking observed events versus censored cases. This decomposition enables a finer-grained analysis of the relative strengths and weaknesses between different survival prediction methods. The usefulness of this decomposition is demonstrated through benchmark comparisons against classical models and state-of-the-art methods, together with the new variational generative neural-network-based method (SurVED) proposed in this paper. The performance of the models is assessed using four publicly available datasets with varying levels of censoring. Using the C-index decomposition and synthetic censoring, the analysis shows that deep learning models utilize the observed events more effectively than other models. This allows them to keep a stable C-index in different censoring levels. In contrast to such deep learning methods, classical machine learning models deteriorate when the censoring level decreases due to their inability to improve on ranking the events versus other events.
format Preprint
id arxiv_https___arxiv_org_abs_2203_00144
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle The Concordance Index decomposition: A measure for a deeper understanding of survival prediction models
Alabdallah, Abdallah
Ohlsson, Mattias
Pashami, Sepideh
Rögnvaldsson, Thorsteinn
Machine Learning
Methodology
The Concordance Index (C-index) is a commonly used metric in Survival Analysis for evaluating the performance of a prediction model. In this paper, we propose a decomposition of the C-index into a weighted harmonic mean of two quantities: one for ranking observed events versus other observed events, and the other for ranking observed events versus censored cases. This decomposition enables a finer-grained analysis of the relative strengths and weaknesses between different survival prediction methods. The usefulness of this decomposition is demonstrated through benchmark comparisons against classical models and state-of-the-art methods, together with the new variational generative neural-network-based method (SurVED) proposed in this paper. The performance of the models is assessed using four publicly available datasets with varying levels of censoring. Using the C-index decomposition and synthetic censoring, the analysis shows that deep learning models utilize the observed events more effectively than other models. This allows them to keep a stable C-index in different censoring levels. In contrast to such deep learning methods, classical machine learning models deteriorate when the censoring level decreases due to their inability to improve on ranking the events versus other events.
title The Concordance Index decomposition: A measure for a deeper understanding of survival prediction models
topic Machine Learning
Methodology
url https://arxiv.org/abs/2203.00144