Could not broadcast input array from shape (1285) into shape (1285, 5334)

2024/10/5 16:21:21

I'm trying to follow some example code provided in the documentation for np.linalg.svd in order to compare term and document similarities following an SVD on a TDM matrix. Here's what I've got:

results_t = np.linalg.svd(tdm_t)
results_t[1].shape

yields

(1285,)

Also

results_t[2].shape
(5334, 5334)

So then trying to broadcast these results to create a real S matrix per the classic SVD projection approach, I've got:

S = np.zeros((results_t[0].shape[0], results_t[2].shape[0]), dtype = float)
S[:results_t[2].shape[0], :results_t[2].shape[0]] = results_t[1]

This last line produces the error:

---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
<ipython-input-329-16e79bc97c4b> in <module>()
----> 1 S[:results_t[2].shape[0], :results_t[2].shape[0]] = results_t[1]ValueError: could not broadcast input array from shape (1285) into shape (1285,5334)

What am I doing wrong here?

Answer

So according to the error message, the target

S[:results_t[2].shape[0], :results_t[2].shape[0]]

is (1285,5334), while the source

results_t[1]

is (1285,).

So it has to broadcast the source to a shape that matches the target before it can do the assignment. Same would apply if trying to sum two arrays with these shapes, or multiply, etc.

  • The first broadcasting step to make the number of dimensions match. The source is 1d, so it needs to be 2d. numpy will do try results_t[1][np.newaxis,:], producing (1, 1285).

  • Second step is to expand all size 1 dimensions to match the other. But that can't happen here - hence the error. (1285,5334)+(1,1285)?

======

If you want to assign to a block (or all of S) then use:

 S[:results_t[2].shape[0], :results_t[2].shape[0]] = results_t[1][:,np.newaxis]

To assign r1 to a diagonal of S, use list indexing (instead of slices):

S[range(results_t[1].shape[0]), range(results_t[1].shape[0])] = results_t[1]

or

S[np.diag_indices(results_t[1].shape[0])] = results_t[1]

In this case those ranges have to match results_t[1] in length.

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