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arxiv: 0709.0844 · v1 · submitted 2007-09-06 · 🧮 math.ST · stat.TH

On non-asymptotic bounds for estimation in generalized linear models with highly correlated design

classification 🧮 math.ST stat.TH
keywords boundsgeneralizedlinearnon-asymptoticchainingcorrelateddesigndevice
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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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