RF: Simplify high-pass filtering in algorithms.confounds #3651
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Legendre and cosine detrending are implemented almost identically, although with several minor variations. Here I separate regressor creation from detrending to unify the implementations.
This now uses
np.linalg.pinv(X)
to estimate the betas in both cases, rather than usingnp.linalg.lstsq
in the cosine filter. lstsq uses SVD and can thus fail to converge in rare cases. Under no circumstances should (X.T @ X) be singular, so the pseudoinverse is unique and precisely what we want.Issue raised in https://neurostars.org/t/fmriprep-numpy-linalg-linalg-linalgerror-svd-did-not-converge/29525.