Journal
SYSTEMS & CONTROL LETTERS
Volume 59, Issue 7, Pages 404-413Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2010.05.003
Keywords
Set-valued models; Interval approximation; Convex optimization; Identification; Statistical learning
Funding
- Italian Ministry of University and Research
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This paper considers the problem of identification of an interval model for an unknown static function using a finite batch of stochastic input-output data {u((i)), y((i))}, i = 1,..., N. The criterion used for identification is that the width of the interval output of the model should be minimized, while containing a given fraction of the observed outputs y((i)). We show that, for suitable finite N. the resulting model will be reliable, that is it will explain any other unseen output, up to a given and arbitrary high probability. (C) 2010 Elsevier B.V. All rights reserved.
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