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It is natural to ask: what kinds of matrices satisfy the Restricted Eigenvalue (RE) condition? In this paper, we associate the RE condition (Bickel-Ritov-Tsybakov 09) with the complexity of a subset of the sphere in $\R^p$, where $p$ is the dimensionality of the data, and show that a class of random matrices with independent rows, but not necessarily independent columns, satisfy the RE condition, when the sample size is above a certain lower bound.
Some inequalities for gaussian processes and applications
Gordon, Y · 1985
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Probability in Banach Spaces: Isoperimetry and processes
Ledoux, M · 1991
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Tibshirani, R · 1996
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Adamczak, R · 2009
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