Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Differences between L2-Boosting and the Lasso   We prove that L2-Boosting lacks a theoretical property which is central to
the behaviour of l1-penalized methods such as basis pursuit and the Lasso:
Whereas l1-penalized methods are guaranteed to recover the sparse parameter
vector in a high-dimensional linear model under an appropriate restricted
nullspace property, L2-Boosting is not guaranteed to do so. Hence, L2-Boosting
behaves quite differently from l1-penalized methods when it comes to parameter
recovery/estimation in high-dimensional linear models.

34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int