Foundations for DeePC on PWA systems via behavioral theory, Fundamental Lemma extension, coherence analysis with shrinkage, and misclassification study, validated on a simple numerical example.
arXiv preprint arXiv:1001.0736 , year=
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abstract
We consider the group lasso penalty for the linear model. We note that the standard algorithm for solving the problem assumes that the model matrices in each group are orthonormal. Here we consider a more general penalty that blends the lasso (L1) with the group lasso ("two-norm"). This penalty yields solutions that are sparse at both the group and individual feature levels. We derive an efficient algorithm for the resulting convex problem based on coordinate descent. This algorithm can also be used to solve the general form of the group lasso, with non-orthonormal model matrices.
years
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