Generating Survival Interpretable Trajectories and Data

IF 0.6 4区 数学 Q3 MATHEMATICS Doklady Mathematics Pub Date : 2025-03-22 DOI:10.1134/S1064562424601999
A. V. Konstantinov, S. R. Kirpichenko, L. V. Utkin
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Abstract

A new model for generating survival trajectories and data based on applying an autoencoder of a specific structure is proposed. It solves three tasks. First, it provides predictions in the form of the expected event time and the survival function for a new feature vector based on the Beran estimator. Second, the model generates additional data based on a given training set that would supplement the original dataset. Third, the most important, it generates a prototype time-dependent trajectory for an object, which characterizes how features of the object could be changed to achieve a different time to an event. The trajectory can be viewed as a type of the counterfactual explanation. The proposed model is robust during training and inference due to a specific weighting scheme incorporated into the variational autoencoder. The model also determines the censored indicators of new generated data by solving a classification task. The paper demonstrates the efficiency and properties of the proposed model using numerical experiments on synthetic and real datasets. The code of the algorithm implementing the proposed model is publicly available.

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生成生存可解释轨迹和数据
本文提出了一种基于特定结构的自动编码器生成生存轨迹和数据的新模型。它解决了三项任务。首先,它以预期事件时间的形式提供预测,并根据贝伦估计器为新特征向量提供生存函数。其次,该模型根据给定的训练集生成额外数据,对原始数据集进行补充。第三,也是最重要的一点,它能为一个物体生成一个与时间相关的轨迹原型,该轨迹描述了如何改变物体的特征以达到不同的事件发生时间。该轨迹可视为一种反事实解释。由于在变异自动编码器中加入了特定的加权方案,因此所提出的模型在训练和推理过程中具有很强的鲁棒性。该模型还能通过解决分类任务来确定新生成数据的删减指标。论文通过对合成数据集和真实数据集的数值实验,证明了所提模型的效率和特性。实现所提模型的算法代码已公开。
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来源期刊
Doklady Mathematics
Doklady Mathematics 数学-数学
CiteScore
1.00
自引率
16.70%
发文量
39
审稿时长
3-6 weeks
期刊介绍: Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.
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