Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical Guarantees for Estimating the Centers of a Two-component
  Gaussian Mixture by EM   Recently, a general method for analyzing the statistical accuracy of the EM
algorithm has been developed and applied to some simple latent variable models
[Balakrishnan et al. 2016]. In that method, the basin of attraction for valid
initialization is required to be a ball around the truth. Using Stein's Lemma,
we extend these results in the case of estimating the centers of a
two-component Gaussian mixture in $d$ dimensions. In particular, we
significantly expand the basin of attraction to be the intersection of a half
space and a ball around the origin. If the signal-to-noise ratio is at least a
constant multiple of $ \sqrt{d\log d} $, we show that a random initialization
strategy is feasible.

7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an