Suppose I decompose a matrix A using singular value decomposition, and I obtain
$A = UDV^T$
where $D$ is a diagonal matrix with the singular values along the diagonal entries.
Suppose that $d$ is the vector of singular values. Does the vector
$w = Ud$
have any practical or geometric interpretation?
To provide some practical context, I am performing SVD on a document-term matrix, which records documents along the rows and words along the columns. Each entry is the number of occurrences of a word in the document.