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Model assisted variable clustering: Minimax-optimal recovery and algorithms

Model assisted variable clustering: Minimax-optimal recovery and algorithms

The problem of variable clustering is that of estimating groups of similar components of a $p$-dimensional vector $X=(X_{1},\ldots ,X_{p})$ from $n$ independent copies of $X$. There exists a large number of algorithms that return data-dependent groups of variables, but their interpretation is limited to the algorithm that produced them. An …