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what does “D = diag(W.1)” means?, what does “D = diag(W.1)” means?on page #2, just below equation (6) PFA screenshot and here is the link of the paper - original paper

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I believe that $\mathbf W\cdot \mathbf 1$ denotes a matrix-vector product of a matrix $\mathbf W$ with a vector of ones $\mathbf 1$ of the corresponding size (number of columns).

The result of this operation is a vector (of the size of number of rows of $\mathbf W$), so, it makes total sense to apply a diagonal function on it to arrive to a matrix form.

Disclaimer: my assumption is based solely on reading the formula at question, and not looking at the rest of the paper at all.

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