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lines changed Original file line number Diff line number Diff line change 77class SingularValuePenalty (ProxOperator ):
88 r"""Proximal operator of a penalty acting on the singular values.
99
10- Generic regularizer :math:`\mathcal{R}` acting on the singular values of a matrix,
10+ Generic regularizer :math:`\mathcal{R}_f ` acting on the singular values of a matrix,
1111
12- ..math::
12+ .. math::
1313
14- \mathcal{R}(\mathbf{X}) = f(\boldsymbol\lambda)
14+ \mathcal{R}_f (\mathbf{X}) = f(\boldsymbol\lambda)
1515
16- :math:`\mathbf{X}` is a matrix of size :math:`M \times N` and
16+ where :math:`\mathbf{X}` is a matrix of size :math:`M \times N` and
1717 :math:`\boldsymbol\lambda` is the corresponding singular value vector.
1818
1919 Parameters
@@ -35,8 +35,8 @@ class SingularValuePenalty(ProxOperator):
3535 \mathbf{U} \diag\left( \prox_{\tau f}(\boldsymbol\lambda)\right) \mathbf{V}^H
3636
3737 where :math:`\mathbf{X} = \mathbf{U}\diag(\boldsymbol\lambda)\mathbf{V}^H`, is an
38- SVD of :math:`X `. It is the user's responsibility to check that this is true for
39- their particular choice of ``penalty``.
38+ SVD of :math:`\mathbf{X} `. It is the user's responsibility to check that this is
39+ true for their particular choice of ``penalty``.
4040 """
4141
4242 def __init__ (self , dim , penalty ):
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