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CoxSE : Exploring the potential of self-explaining neural networks with Cox proportional hazards model for survival analysis

Alabdallah, Abdallah ; Hamed, Omar ; Ohlsson, Mattias LU orcid ; Rögnvaldsson, Thorsteinn and Pashami, Sepideh (2026) In Knowledge-Based Systems 333.
Abstract

The Cox Proportional Hazards (CPH) model has long been the preferred survival model for its explainability. However, to increase its predictive power beyond its linear log-risk, it was extended to utilize deep neural networks, sacrificing its explainability. In this work, we explore the potential of self-explaining neural networks (SENN) for survival analysis. We propose a new locally explainable Cox proportional hazards model, named CoxSE, by estimating a locally-linear log-hazard function using the SENN. We also propose a modification to the Neural additive (NAM) model, hybrid with SENN, named CoxSENAM, which enables the control of the stability and consistency of the generated explanations. Several experiments using synthetic and... (More)

The Cox Proportional Hazards (CPH) model has long been the preferred survival model for its explainability. However, to increase its predictive power beyond its linear log-risk, it was extended to utilize deep neural networks, sacrificing its explainability. In this work, we explore the potential of self-explaining neural networks (SENN) for survival analysis. We propose a new locally explainable Cox proportional hazards model, named CoxSE, by estimating a locally-linear log-hazard function using the SENN. We also propose a modification to the Neural additive (NAM) model, hybrid with SENN, named CoxSENAM, which enables the control of the stability and consistency of the generated explanations. Several experiments using synthetic and real datasets are presented, benchmarking CoxSE and CoxSENAM against a NAM-based model, a DeepSurv model explained with SHAP, and a linear CPH model. The results show that, unlike the NAM-based model, the SENN-based model can provide more stable and consistent explanations while maintaining the predictive power of the black-box model. The results also show that, due to their structural design, NAM-based models demonstrate better robustness to non-informative features. Among the models, the hybrid model exhibits the best robustness. Full implementation is available on GitHub.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cox proportional hazards, Interpretability, Neural additive models, Self-explaining neural networks, Survival analysis, XAI
in
Knowledge-Based Systems
volume
333
article number
114996
publisher
Elsevier
external identifiers
  • scopus:105024190200
ISSN
0950-7051
DOI
10.1016/j.knosys.2025.114996
language
English
LU publication?
yes
id
f2c2cf82-0871-4dc2-a580-85b0b4081bba
date added to LUP
2026-03-09 15:08:42
date last changed
2026-03-09 15:08:49
@article{f2c2cf82-0871-4dc2-a580-85b0b4081bba,
  abstract     = {{<p>The Cox Proportional Hazards (CPH) model has long been the preferred survival model for its explainability. However, to increase its predictive power beyond its linear log-risk, it was extended to utilize deep neural networks, sacrificing its explainability. In this work, we explore the potential of self-explaining neural networks (SENN) for survival analysis. We propose a new locally explainable Cox proportional hazards model, named CoxSE, by estimating a locally-linear log-hazard function using the SENN. We also propose a modification to the Neural additive (NAM) model, hybrid with SENN, named CoxSENAM, which enables the control of the stability and consistency of the generated explanations. Several experiments using synthetic and real datasets are presented, benchmarking CoxSE and CoxSENAM against a NAM-based model, a DeepSurv model explained with SHAP, and a linear CPH model. The results show that, unlike the NAM-based model, the SENN-based model can provide more stable and consistent explanations while maintaining the predictive power of the black-box model. The results also show that, due to their structural design, NAM-based models demonstrate better robustness to non-informative features. Among the models, the hybrid model exhibits the best robustness. Full implementation is available on GitHub.</p>}},
  author       = {{Alabdallah, Abdallah and Hamed, Omar and Ohlsson, Mattias and Rögnvaldsson, Thorsteinn and Pashami, Sepideh}},
  issn         = {{0950-7051}},
  keywords     = {{Cox proportional hazards; Interpretability; Neural additive models; Self-explaining neural networks; Survival analysis; XAI}},
  language     = {{eng}},
  month        = {{01}},
  publisher    = {{Elsevier}},
  series       = {{Knowledge-Based Systems}},
  title        = {{CoxSE : Exploring the potential of self-explaining neural networks with Cox proportional hazards model for survival analysis}},
  url          = {{http://dx.doi.org/10.1016/j.knosys.2025.114996}},
  doi          = {{10.1016/j.knosys.2025.114996}},
  volume       = {{333}},
  year         = {{2026}},
}