Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower bounds for the minimax risk using $f$-divergences and applications   Lower bounds involving $f$-divergences between the underlying probability
measures are proved for the minimax risk in estimation problems. Our proofs
just use simple convexity facts. Special cases and straightforward corollaries
of our bounds include well known inequalities for establishing minimax lower
bounds such as Fano's inequality, Pinsker's inequality and inequalities based
on global entropy conditions. Two applications are provided: a new minimax
lower bound for the reconstruction of convex bodies from noisy support function
measurements and a different proof of a recent minimax lower bound for the
estimation of a covariance matrix.

31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph