深度部分线性转换模型对右边审查的生存数据
Junkai Yin1, Yue Zhang2, Zhangsheng Yu2
1Department of Statistics, Shanghai Jiao Tong University, Shanghai 200240, PR China.
Biometrics
|October 30, 2025
概括
本研究引入了对生存数据分析的深度部分线性转换模型,在Cox比例危险假设失败时提供灵活的替代方案. 该方法有效地处理高维数据,同时保持共变量解释性.
科学领域:
- 统计 统计 统计 统计
- 生物统计学 生物统计学
- 机器学习 机器学习
背景情况:
- 考克斯的比例危险 (PH) 模型是生存数据分析的标准.
- 在现实应用中,PH假设并不总是有效的.
- 半参数转换模型提供了一个更广泛的框架,扩展了考克斯模型.
研究的目的:
- 介绍一个深度的部分线性转换模型来分析右边审查的生存数据.
- 提供灵活的回归框架,解决维度的诅咒.
- 保持关键共变量的解释性.
主要方法:
- 开发了一个深度部分线性转换模型.
- 为最大概率估计器推导的收率.
- 建立了非参数深度神经网络估计器的最小值下限.
- 证明了参数估计器的非对称正常性和半参数效率.
主要成果:
- 拟议的模型在模拟中显示出令人印象深刻的估计准确性.
- 该方法显示了对生存数据的强大预测能力.
- 理论分析为估计器的性能提供了保证.
结论:
- 深度部分线性转换模型是一种强大而灵活的生存数据分析工具.
- 该方法有效地处理高维数据,并保持可解释性.
- 模拟研究和现实数据应用验证了该方法的性能.
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