3 ms·
This is the idea behind non-negative matrix formulation (NMF). As the name implies, it forces the entries of the embedding matrices (for both the reduced docume
by jointpdf 7y ago
This is the idea behind non-negative matrix formulation (NMF). As the name implies, it forces the entries of the embedding matrices (for both the reduced document and term matrix) to be nonnegative, which results in a more interpretable “sum of parts” representation. You can really see the difference (compared to LSA/SVD/PCA, which does not have this constraint) when it’s applied to images of faces. Also, NMF has been shown to be equivalent to word2vec. The classic paper is here: http://www.cs.columbia.edu/~blei/fogm/2019F/readings/LeeSeung1999.pdf http://www.cs.columbia.edu/~blei/fogm/2019F/readings/LeeSeun...
PS—There should be a negative sign on the (2,2) entry of the first matrix.
- raverbashing 7y ago> non-negative matrix formulation (NMF) *factorization ;) Also PCA follows a similar idea as well (I mean, rotating vectors), but it's usually done is a much lower dimensional space
- jointpdf 7y agoUgh, that one was auto-correct, I swear. I have no idea what’s going on at Apple’s NLP department.