A fast divide-and-conquer sparse Cox regression.

We propose a computationally and statistically efficient divide-and-conquer (DAC) algorithm to fit sparse Cox regression to massive datasets where the sample size $n_0$ is exceedingly large and the covariate dimension $p$ is not small but $n_0\gg p$. The proposed algorithm achieves computational eff...

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Publicado en:Biostatistics Vol. 22; no. 2; pp. 381 - 402
Autores principales: Wang, Yan, Hong, Chuan, Palmer, Nathan, Di, Qian, Schwartz, Joel, Kohane, Isaac, Cai, Tianxi
Formato: research Journal Article
Publicado: Oxford University Press / USA Apr2021
Acceso en línea:Ver este registro en EBSCOhost
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      dt: Apr2021
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      pub: Oxford University Press / USA
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        atl: A fast divide-and-conquer sparse Cox regression.
      aug:
        au:
          Wang, Yan
          Hong, Chuan
          Palmer, Nathan
          Di, Qian
          Schwartz, Joel
          Kohane, Isaac
          Cai, Tianxi
        affil: Department of Environmental Health, Harvard T. H. Chan School of Public Health , 401 Park Drive West, Boston, MA, 02215, USA
      sug:
        subj:
          Medicare
          Algorithms
          Cox Proportional Hazards Model
          United States
          Computer Simulation
          Aged
          Regression
          Human
          Comparative Studies
          Multicenter Studies
          Evaluation Research
          Validation Studies
          Funding Source
          Aged: 65+ years
      ab: We propose a computationally and statistically efficient divide-and-conquer (DAC) algorithm to fit sparse Cox regression to massive datasets where the sample size $n_0$ is exceedingly large and the covariate dimension $p$ is not small but $n_0\gg p$. The proposed algorithm achieves computational efficiency through a one-step linear approximation followed by a least square approximation to the partial likelihood (PL). These sequences of linearization enable us to maximize the PL with only a small subset and perform penalized estimation via a fast approximation to the PL. The algorithm is applicable for the analysis of both time-independent and time-dependent survival data. Simulations suggest that the proposed DAC algorithm substantially outperforms the full sample-based estimators and the existing DAC algorithm with respect to the computational speed, while it achieves similar statistical efficiency as the full sample-based estimators. The proposed algorithm was applied to extraordinarily large survival datasets for the prediction of heart failure-specific readmission within 30 days among Medicare heart failure patients.
      pubtype: Academic Journal
      doctype:
        research
        Journal Article
      ougenre: Article
    language: English
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