Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive estimation in the nonparametric random coefficients binary
  choice model by needlet thresholding   In the random coefficients binary choice model, a binary variable equals 1
iff an index $X^\top\beta$ is positive.The vectors $X$ and $\beta$ are
independent and belong to the sphere $\mathbb{S}^{d-1}$ in $\mathbb{R}^{d}$.We
prove lower bounds on the minimax risk for estimation of the density
$f\_{\beta}$ over Besov bodies where the loss is a power of the
$L^p(\mathbb{S}^{d-1})$ norm for $1\le p\le \infty$. We show that a hard
thresholding estimator based on a needlet expansion with data-driven thresholds
achieves these lower bounds up to logarithmic factors.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex