Deep Survival Analysis
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Abstract (arXiv)
The electronic health record (EHR) provides an unprecedented opportunity to build actionable tools to support physicians at the point of care. In this paper, we investigate survival analysis in the context of EHR data. We introduce deep survival analysis, a hierarchical generative approach to survival analysis. It departs from previous approaches in two primary ways: (1) all observations, including covariates, are modeled jointly conditioned on a rich latent structure; and (2) the observations are aligned by their failure time, rather than by an arbitrary time zero as in traditional survival analysis. Further, it (3) scalably handles heterogeneous (continuous and discrete) data types that occur in the EHR. We validate deep survival analysis model by stratifying patients according to risk of developing coronary heart disease (CHD). Specifically, we study a dataset of 313,000 patients corresponding to 5.5 million months of observations. When compared to the clinically validated Framingham CHD risk score, deep survival analysis is significantly superior in stratifying patients according to their risk.
Key facts. Cited by 60 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Aug 2016.
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Citing papers per year: 2021: 15; 2022: 11; 2023: 13; 2024: 5; 2025: 12; 2026: 4.
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- 2023Deep Learning for Survival Analysis: A Reviewcited by 75
- 2021Deep Cox Mixtures for Survival Regressioncited by 43
- 2021Survival Regression with Proper Scoring Rules and Monotonic Neural Networkscited by 42
- 2021SurvTRACE: Transformers for Survival Analysis with Competing Eventscited by 40
- 2021X-CAL: Explicit Calibration for Survival Analysiscited by 30
- 2021Towards Generating Real-World Time Series Datacited by 26
- 2021A Deep Variational Approach to Clustering Survival Datacited by 25
- 2021SurvITE: Learning Heterogeneous Treatment Effects from Time-to-Event Datacited by 25
- 2022auton-survival: an Open-Source Package for Regression, Counterfactual Estimation, Evaluation and Phenotyping with Censored Time-to-Event Datacited by 17
- 2023SurvivalGAN: Generating Time-to-Event Data for Survival Analysiscited by 17
- 2021SurvNAM: The machine learning survival model explanationcited by 16
- 2022Counterfactual Phenotyping with Censored Time-to-Eventscited by 13
38 more
- 2022SurvLatent ODE : A Neural ODE based time-to-event model with competing risks for longitudinal data improves cancer-associated Venous Thromboembolism (VTE) predictioncited by 13
- 2022DeepPAMM: Deep Piecewise Exponential Additive Mixed Models for Complex Hazard Structures in Survival Analysiscited by 12
- 2022Survival Kernets: Scalable and Interpretable Deep Kernel Survival Analysis with an Accuracy Guaranteecited by 9
- 2022Survival Mixture Density Networkscited by 9
- 2021Inverse-Weighted Survival Gamescited by 8
- 2022The Concordance Index decomposition: A measure for a deeper understanding of survival prediction modelscited by 8
- 2023Contrastive Learning of Temporal Distinctiveness for Survival Analysis in Electronic Health Recordscited by 5
- 2021Individual Survival Curves with Conditional Normalizing Flowscited by 4
- 2022A State Transition Model for Mobile Notifications via Survival Analysiscited by 4
- 2023SAVAE: Leveraging the variational Bayes autoencoder for survival analysiscited by 4
- 2021Leveraging Deep Representations of Radiology Reports in Survival Analysis for Predicting Heart Failure Patient Mortalitycited by 3
- 2022Deep conditional transformation models for survival analysiscited by 3
- 2023Deep Clustering Survival Machines with Interpretable Expert Distributionscited by 3
- 2023Explainable Predictive Maintenancecited by 3
- 2024Generating Survival Interpretable Trajectories and Datacited by 3
- 2026SVL: Goal-Conditioned Reinforcement Learning as Survival Learningcited by 3
- 2023A General Framework for Visualizing Embedding Spaces of Neural Survival Analysis Models Based on Angular Informationcited by 2
- 2024Generating Accurate Synthetic Survival Data by Conditioning on Outcomescited by 2
- 2024Deep State-Space Generative Model For Correlated Time-to-Event Predictionscited by 2
- 2025SurvUnc: A Meta-Model Based Uncertainty Quantification Framework for Survival Analysiscited by 2
- 2021Variational Bayes survival analysis for unemployment modellingcited by 1
- 2021Boost-R: Gradient Boosted Trees for Recurrence Datacited by 1
- 2022BENK: The Beran Estimator with Neural Kernels for Estimating the Heterogeneous Treatment Effectcited by 1
- 2023Learning Survival Distribution with Implicit Survival Functioncited by 1
- 2023NSOTree: Neural Survival Oblique Treecited by 1
- 2023Maximum Likelihood Estimation of Flexible Survival Densities with Importance Samplingcited by 1
- 2023MixEHR-SurG: a joint proportional hazard and guided topic model for inferring mortality-associated topics from electronic health recordscited by 1
- 2024Confidence Intervals and Simultaneous Confidence Bands Based on Deep Learningcited by 1
- 2025Censor Dependent Variational Inferencecited by 1
- 2025FinSurvival: A Suite of Large Scale Survival Modeling Tasks from Financecited by 1
- 2025Dynamic Survival Prediction using Longitudinal Images based on Transformercited by 1
- 2025SurvDiff: A Diffusion Model for Generating Synthetic Data in Survival Analysiscited by 1
- 2025Let the Experts Speak: Improving Survival Prediction & Calibration via Mixture-of-Experts Headscited by 1
- 2025SurvBench: A Standardised Preprocessing Pipeline for Multi-Modal Electronic Health Record Survival Analysiscited by 1
- 2026Survival In-Context: Amortized Bayesian Survival Analysis via Prior-Fitted Networkscited by 1
- 2026Computational Identifiabilitycited by 1
- 2021Risk markers by sex for in-hospital mortality in patients with acute coronary syndrome: a machine learning approachcited by 0
- 2021Metaparametric Neural Networks for Survival Analysiscited by 0
50 most cited of 60 All 60 (JSON)
- 2026Computational Identifiability8 Jun 2026
- 2026A Scalable Nonparametric Continuous-Time Survival Model through Numerical Quadrature15 May 2026
- 2026SVL: Goal-Conditioned Reinforcement Learning as Survival Learning19 Apr 2026
- 2026Survival In-Context: Amortized Bayesian Survival Analysis via Prior-Fitted Networks31 Mar 2026
- 2025SurvBench: A Standardised Preprocessing Pipeline for Multi-Modal Electronic Health Record Survival Analysis14 Nov 2025
- 2025Let the Experts Speak: Improving Survival Prediction & Calibration via Mixture-of-Experts Heads11 Nov 2025
- 2025SurvDiff: A Diffusion Model for Generating Synthetic Data in Survival Analysis26 Sep 2025
- 2025C2MIL: Synchronizing Semantic and Topological Causalities in Multiple Instance Learning for Robust and Interpretable Survival Analysis24 Sep 2025
- 2025Robust and Adaptive Spectral Method for Representation Multi-Task Learning with Contamination8 Sep 2025
- 2025Preference Models assume Proportional Hazards of Utilities15 Aug 2025
- 2025Dynamic Survival Prediction using Longitudinal Images based on Transformer12 Aug 2025
- 2025Deep Survival Analysis in Multimodal Medical Data: A Parametric and Probabilistic Approach with Competing Risks10 Jul 2025
38 more
- 2025FinSurvival: A Suite of Large Scale Survival Modeling Tasks from Finance7 Jul 2025
- 2025SurvUnc: A Meta-Model Based Uncertainty Quantification Framework for Survival Analysis20 May 2025
- 2025Self-Consistent Equation-guided Neural Networks for Censored Time-to-Event Data12 Mar 2025
- 2025Censor Dependent Variational Inference13 Feb 2025
- 2024Deep State-Space Generative Model For Correlated Time-to-Event Predictions28 Jul 2024
- 2024Confidence Intervals and Simultaneous Confidence Bands Based on Deep Learning20 Jun 2024
- 2024Generating Accurate Synthetic Survival Data by Conditioning on Outcomes27 May 2024
- 2024Generating Survival Interpretable Trajectories and Data19 Feb 2024
- 2024TripleSurv: Triplet Time-adaptive Coordinate Loss for Survival Analysis5 Jan 2024
- 2023SAVAE: Leveraging the variational Bayes autoencoder for survival analysis22 Dec 2023
- 2023MixEHR-SurG: a joint proportional hazard and guided topic model for inferring mortality-associated topics from electronic health records20 Dec 2023
- 2023Composite Survival Analysis: Learning with Auxiliary Aggregated Baselines and Survival Scores10 Dec 2023
- 2023Maximum Likelihood Estimation of Flexible Survival Densities with Importance Sampling3 Nov 2023
- 2023Improving Event Time Prediction by Learning to Partition the Event Time Space24 Oct 2023
- 2023NSOTree: Neural Survival Oblique Tree25 Sep 2023
- 2023Contrastive Learning of Temporal Distinctiveness for Survival Analysis in Electronic Health Records24 Aug 2023
- 2023Explainable Predictive Maintenance8 Jun 2023
- 2023Deep Learning for Survival Analysis: A Review24 May 2023
- 2023Learning Survival Distribution with Implicit Survival Function24 May 2023
- 2023A General Framework for Visualizing Embedding Spaces of Neural Survival Analysis Models Based on Angular Information11 May 2023
- 2023SurvivalGAN: Generating Time-to-Event Data for Survival Analysis24 Feb 2023
- 2023Deep Clustering Survival Machines with Interpretable Expert Distributions27 Jan 2023
- 2022Deep Learning of Semi-Competing Risk Data via a New Neural Expectation-Maximization Algorithm22 Dec 2022
- 2022BENK: The Beran Estimator with Neural Kernels for Estimating the Heterogeneous Treatment Effect19 Nov 2022
- 2022Deep conditional transformation models for survival analysis20 Oct 2022
- 2022Survival Mixture Density Networks23 Aug 2022
- 2022A State Transition Model for Mobile Notifications via Survival Analysis7 Jul 2022
- 2022Survival Kernets: Scalable and Interpretable Deep Kernel Survival Analysis with an Accuracy Guarantee21 Jun 2022
- 2022SurvLatent ODE : A Neural ODE based time-to-event model with competing risks for longitudinal data improves cancer-associated Venous Thromboembolism (VTE) prediction20 Apr 2022
- 2022auton-survival: an Open-Source Package for Regression, Counterfactual Estimation, Evaluation and Phenotyping with Censored Time-to-Event Data15 Apr 2022
- 2022The Concordance Index decomposition: A measure for a deeper understanding of survival prediction models28 Feb 2022
- 2022Counterfactual Phenotyping with Censored Time-to-Events22 Feb 2022
- 2022DeepPAMM: Deep Piecewise Exponential Additive Mixed Models for Complex Hazard Structures in Survival Analysis12 Feb 2022
- 2021Towards Generating Real-World Time Series Data16 Nov 2021
- 2021Inverse-Weighted Survival Games16 Nov 2021
- 2021SurvITE: Learning Heterogeneous Treatment Effects from Time-to-Event Data26 Oct 2021
- 2021Metaparametric Neural Networks for Survival Analysis13 Oct 2021
- 2021SurvTRACE: Transformers for Survival Analysis with Competing Events2 Oct 2021
50 newest of 60 All 60 (JSON)
- 2023Deep Learning for Survival Analysis: A Reviewcited by 75
- 2021Deep Cox Mixtures for Survival Regressioncited by 43
- 2021Survival Regression with Proper Scoring Rules and Monotonic Neural Networkscited by 42
- 2021SurvTRACE: Transformers for Survival Analysis with Competing Eventscited by 40
- 2021X-CAL: Explicit Calibration for Survival Analysiscited by 30
- 2021Towards Generating Real-World Time Series Datacited by 26
- 2021A Deep Variational Approach to Clustering Survival Datacited by 25
- 2021SurvITE: Learning Heterogeneous Treatment Effects from Time-to-Event Datacited by 25
- 2022auton-survival: an Open-Source Package for Regression, Counterfactual Estimation, Evaluation and Phenotyping with Censored Time-to-Event Datacited by 17
- 2023SurvivalGAN: Generating Time-to-Event Data for Survival Analysiscited by 17
- 2021SurvNAM: The machine learning survival model explanationcited by 16
- 2022Counterfactual Phenotyping with Censored Time-to-Eventscited by 13
12 most cited of 58 All 58 (JSON)
- 2026Computational Identifiability8 Jun 2026
- 2026A Scalable Nonparametric Continuous-Time Survival Model through Numerical Quadrature15 May 2026
- 2026SVL: Goal-Conditioned Reinforcement Learning as Survival Learning19 Apr 2026
- 2026Survival In-Context: Amortized Bayesian Survival Analysis via Prior-Fitted Networks31 Mar 2026
- 2025SurvBench: A Standardised Preprocessing Pipeline for Multi-Modal Electronic Health Record Survival Analysis14 Nov 2025
- 2025C2MIL: Synchronizing Semantic and Topological Causalities in Multiple Instance Learning for Robust and Interpretable Survival Analysis24 Sep 2025
- 2025Robust and Adaptive Spectral Method for Representation Multi-Task Learning with Contamination8 Sep 2025
- 2025Preference Models assume Proportional Hazards of Utilities15 Aug 2025
- 2025Dynamic Survival Prediction using Longitudinal Images based on Transformer12 Aug 2025
- 2025Deep Survival Analysis in Multimodal Medical Data: A Parametric and Probabilistic Approach with Competing Risks10 Jul 2025
- 2025FinSurvival: A Suite of Large Scale Survival Modeling Tasks from Finance7 Jul 2025
- 2025SurvUnc: A Meta-Model Based Uncertainty Quantification Framework for Survival Analysis20 May 2025
12 newest of 58 All 58 (JSON)