<p>In practice, distributed data are often collected from different locations/times/populations /environments with non-negligible heterogeneity. In this paper, we consider inherently distributed data follow heterogeneous partially linear models with high-dimensional covariates, where each site involves a common parameter vector and site-specific nuisance functions. Three distributed estimators based on debiased machine learning are proposed to account for heterogeneity. The closed forms and asymptotic normal distributions of the proposed estimators have been explored and compared. Moreover, these estimators can be computed easily by transmitting some statistics from the local sites to the central site. The finite-sample performance is demonstrated through simulation studies and an application to Beijing multi-site air quality dataset is also provided.</p>

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Heterogeneity-aware debiased machine learning for high-dimensional partially linear models

  • Yining Wu,
  • Lei Wang,
  • Heng Lian

摘要

In practice, distributed data are often collected from different locations/times/populations /environments with non-negligible heterogeneity. In this paper, we consider inherently distributed data follow heterogeneous partially linear models with high-dimensional covariates, where each site involves a common parameter vector and site-specific nuisance functions. Three distributed estimators based on debiased machine learning are proposed to account for heterogeneity. The closed forms and asymptotic normal distributions of the proposed estimators have been explored and compared. Moreover, these estimators can be computed easily by transmitting some statistics from the local sites to the central site. The finite-sample performance is demonstrated through simulation studies and an application to Beijing multi-site air quality dataset is also provided.