Mathematics – Statistics Theory
Scientific paper
2007-09-06
IMS Lecture Notes Monograph Series 2007, Vol. 55, 121-134
Mathematics
Statistics Theory
Published at http://dx.doi.org/10.1214/074921707000000319 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/p
Scientific paper
10.1214/074921707000000319
We study a high-dimensional generalized linear model and penalized empirical
risk minimization with $\ell_1$ penalty. Our aim is to provide a non-trivial
illustration that non-asymptotic bounds for the estimator can be obtained
without relying on the chaining technique and/or the peeling device.
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