Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semi-Supervised Statistical Inference for High-Dimensional Linear
  Regression with Blockwise Missing Data   Blockwise missing data occurs frequently when we integrate multisource or
multimodality data where different sources or modalities contain complementary
information. In this paper, we consider a high-dimensional linear regression
model with blockwise missing covariates and a partially observed response
variable. Under this semi-supervised framework, we propose a computationally
efficient estimator for the regression coefficient vector based on carefully
constructed unbiased estimating equations and a multiple blockwise imputation
procedure, and obtain its rates of convergence. Furthermore, building upon an
innovative semi-supervised projected estimating equation technique that
intrinsically achieves bias-correction of the initial estimator, we propose
nearly unbiased estimators for the individual regression coefficients that are
asymptotically normally distributed under mild conditions. By carefully
analyzing these debiased estimators, asymptotically valid confidence intervals
and statistical tests about each regression coefficient are constructed.
Numerical studies and application analysis of the Alzheimer's Disease
Neuroimaging Initiative data show that the proposed method performs better and
benefits more from unsupervised samples than existing methods.

0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph