Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimax Rates in Network Analysis: Graphon Estimation, Community
  Detection and Hypothesis Testing   This paper surveys some recent developments in fundamental limits and optimal
algorithms for network analysis. We focus on minimax optimal rates in three
fundamental problems of network analysis: graphon estimation, community
detection, and hypothesis testing. For each problem, we review state-of-the-art
results in the literature followed by general principles behind the optimal
procedures that lead to minimax estimation and testing. This allows us to
connect problems in network analysis to other statistical inference problems
from a general perspective.

0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ