Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson Subsampling Algorithms for Large Sample Linear Regression in
  Massive Data   Large sample size brings the computation bottleneck for modern data analysis.
Subsampling is one of efficient strategies to handle this problem. In previous
studies, researchers make more fo- cus on subsampling with replacement (SSR)
than on subsampling without replacement (SSWR). In this paper we investigate a
kind of SSWR, poisson subsampling (PSS), for fast algorithm in ordinary
least-square problem. We establish non-asymptotic property, i.e, the error
bound of the correspond- ing subsample estimator, which provide a tradeoff
between computation cost and approximation efficiency. Besides the
non-asymptotic result, we provide asymptotic consistency and normality of the
subsample estimator. Methodologically, we propose a two-step subsampling
algorithm, which is efficient with respect to a statistical objective and
independent on the linear model assumption.. Synthetic and real data are used
to empirically study our proposed subsampling strategies. We argue by these
empirical studies that, (1) our proposed two-step algorithm has obvious
advantage when the assumed linear model does not accurate, and (2) the PSS
strategy performs obviously better than SSR when the subsampling ratio
increases.

26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph