Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the MMSE Estimation of Norm of a Gaussian Vector under Additive White
  Gaussian Noise with Randomly Missing Input Entries   This paper considers the task of estimating the $l_2$ norm of a
$n$-dimensional random Gaussian vector from noisy measurements taken after many
of the entries of the vector are \emph{missed} and only $K\ (0\le K\le n)$
entries are retained and others are set to $0$. Specifically, we evaluate the
minimum mean square error (MMSE) estimator of the $l_2$ norm of the unknown
Gaussian vector performing measurements under additive white Gaussian noise
(AWGN) on the vector after the data missing and derive expressions for the
corresponding mean square error (MSE). We find that the corresponding MSE
normalized by $n$ tends to $0$ as $n\to \infty$ when $K/n$ is kept constant.
Furthermore, expressions for the MSE is derived when the variance of the AWGN
noise tends to either $0$ or $\infty$. These results generalize the results of
Dytso et al.\cite{dytso2019estimating} where the case $K=n$ is considered, i.e.
the MMSE estimator of norm of random Gaussian vector is derived from
measurements under AWGN noise without considering the data missing phenomenon.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas