Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniformly Valid Post-Regularization Confidence Regions for Many
  Functional Parameters in Z-Estimation Framework   In this paper we develop procedures to construct simultaneous confidence
bands for $\tilde p$ potentially infinite-dimensional parameters after model
selection for general moment condition models where $\tilde p$ is potentially
much larger than the sample size of available data, $n$. This allows us to
cover settings with functional response data where each of the $\tilde p$
parameters is a function. The procedure is based on the construction of score
functions that satisfy certain orthogonality condition. The proposed
simultaneous confidence bands rely on uniform central limit theorems for
high-dimensional vectors (and not on Donsker arguments as we allow for $\tilde
p \gg n$). To construct the bands, we employ a multiplier bootstrap procedure
which is computationally efficient as it only involves resampling the estimated
score functions (and does not require resolving the high-dimensional
optimization problems). We formally apply the general theory to inference on
regression coefficient process in the distribution regression model with a
logistic link, where two implementations are analyzed in detail. Simulations
and an application to real data are provided to help illustrate the
applicability of the results.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga