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Survival analysis (SA) is an active field of research that is concerned with time-to-event outcomes and is prevalent in many domains, particularly biomedical applications. Despite its importance, SA remains challenging due to small-scale…

Machine Learning · Statistics 2022-02-16 Philipp Kopper , Simon Wiegrebe , Bernd Bischl , Andreas Bender , David Rügamer

Survival analysis, or time-to-event analysis, is an important and widespread problem in healthcare research. Medical research has traditionally relied on Cox models for survival analysis, due to their simplicity and interpretability. Cox…

Machine Learning · Computer Science 2023-10-25 Mike Van Ness , Tomas Bosschieter , Natasha Din , Andrew Ambrosy , Alexander Sandhu , Madeleine Udell

The integration of pathologic images and genomic data for survival analysis has gained increasing attention with advances in multimodal learning. However, current methods often ignore biological characteristics, such as heterogeneity and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Shuaiyu Zhang , Xun Lin , Rongxiang Zhang , Yu Bai , Yong Xu , Tao Tan , Xunbin Zheng , Zitong Yu

With increasing interest in applying machine learning to develop healthcare solutions, there is a desire to create interpretable deep learning models for survival analysis. In this paper, we extend the Neural Additive Model (NAM) by…

Machine Learning · Computer Science 2022-11-18 Matthew Peroni , Marharyta Kurban , Sun Young Yang , Young Sun Kim , Hae Yeon Kang , Ji Hyun Song

Survival analysis is widely used as a technique to model time-to-event data when some data is censored, particularly in healthcare for predicting future patient risk. In such settings, survival models must be both accurate and interpretable…

Machine Learning · Computer Science 2024-04-24 Mike Van Ness , Madeleine Udell

Competing risks are crucial considerations in survival modelling, particularly in healthcare domains where patients may experience multiple distinct event types. We propose CRISP-NAM (Competing Risks Interpretable Survival Prediction with…

Machine Learning · Computer Science 2025-09-26 Dhanesh Ramachandram , Ananya Raval

Demand forecasts are the crucial basis for numerous business decisions, ranging from inventory management to strategic facility planning. While machine learning (ML) approaches offer accuracy gains, their interpretability and acceptance are…

Machine Learning · Computer Science 2024-04-08 Leif Feddersen , Catherine Cleophas

Survival analysis provides a well-established framework for modeling time-to-event data, with hazard and survival functions formally defined as population-level quantities. In applied work, however, these quantities are often interpreted as…

Methodology · Statistics 2026-03-26 Xijia Liu

Survival analysis aims to estimate a time-to-event distribution from data with censored observations. Many existing methods either impose structural assumptions on the hazard function or discretize the time axis, which may limit flexibility…

Machine Learning · Computer Science 2026-05-22 Stanislav R. Kirpichenko , Andrei V. Konstantinov , Lev V. Utkin

A new modification of the Neural Additive Model (NAM) called SurvNAM and its modifications are proposed to explain predictions of the black-box machine learning survival model. The method is based on applying the original NAM to solving the…

Machine Learning · Computer Science 2021-04-20 Lev V. Utkin , Egor D. Satyukov , Andrei V. Konstantinov

The passing of time is an important factor for covariates in the additive and proportional hazard models. According to this idea, the extended additive hazard model (EAHM) is introduced by considering the time-varying effects of covariates…

Methodology · Statistics 2019-12-30 Morteza Raeisi , Gholamhossein Yari

Survival Analysis (SA) constitutes the default method for time-to-event modeling due to its ability to estimate event probabilities of sparsely occurring events over time. In this work, we show how to improve the training and inference of…

Machine Learning · Computer Science 2023-12-12 Chris Solomou

Machine and deep learning survival models demonstrate similar or even improved time-to-event prediction capabilities compared to classical statistical learning methods yet are too complex to be interpreted by humans. Several model-agnostic…

Machine Learning · Computer Science 2023-04-17 Mateusz Krzyziński , Mikołaj Spytek , Hubert Baniecki , Przemysław Biecek

Prognostic models in survival analysis are aimed at understanding the relationship between patients' covariates and the distribution of survival time. Traditionally, semi-parametric models, such as the Cox model, have been assumed. These…

Machine Learning · Statistics 2020-11-06 Denise Rava , Jelena Bradic

Estimating heterogeneous treatment effect (HTE) for survival outcomes has gained increasing attention, as it captures the variation in treatment efficacy across patients or subgroups in delaying disease progression. However, most existing…

Methodology · Statistics 2025-11-27 Na Bo , Ying Ding

Time-to-event prediction, e.g. cancer survival analysis or hospital length of stay, is a highly prominent machine learning task in medical and healthcare applications. However, only a few interpretable machine learning methods comply with…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Hubert Baniecki , Bartlomiej Sobieski , Patryk Szatkowski , Przemyslaw Bombinski , Przemyslaw Biecek

Deep neural networks (DNNs) have shown exceptional performances in a wide range of tasks and have become the go-to method for problems requiring high-level predictive power. There has been extensive research on how DNNs arrive at their…

Machine Learning · Computer Science 2023-02-21 Mattias Luber , Anton Thielmann , Benjamin Säfken

Marginal structural models (MSMs) allow for causal analysis of longitudinal data. The MSMs were originally developed as discrete time models. Recently, continuous-time MSMs were presented as a conceptually appealing alternative for survival…

Methodology · Statistics 2019-02-14 Pål Christie Ryalen , Mats Julius Stensrud , Kjetil Røysland

Survival analysis is a fundamental tool for modeling time-to-event data in healthcare, engineering, and finance, where censored observations pose significant challenges. While traditional methods like the Beran estimator offer nonparametric…

Machine Learning · Computer Science 2025-06-13 Andrei V. Konstantinov , Vlada A. Efremenko , Lev V. Utkin

We discuss causal mediation analyses for survival data and propose a new approach based on the additive hazards model. The emphasis is on a dynamic point of view, that is, understanding how the direct and indirect effects develop over time.…

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