Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alternating Estimation for Structured High-Dimensional Multi-Response
  Models   We consider learning high-dimensional multi-response linear models with
structured parameters. By exploiting the noise correlations among responses, we
propose an alternating estimation (AltEst) procedure to estimate the model
parameters based on the generalized Dantzig selector. Under suitable sample
size and resampling assumptions, we show that the error of the estimates
generated by AltEst, with high probability, converges linearly to certain
minimum achievable level, which can be tersely expressed by a few geometric
measures, such as Gaussian width of sets related to the parameter structure. To
the best of our knowledge, this is the first non-asymptotic statistical
guarantee for such AltEst-type algorithm applied to estimation problem with
general structures.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an