ott.geometry.regularizers.SqKOverlap#
- class ott.geometry.regularizers.SqKOverlap(k)[source]#
Squared k-overlap norm regularizer [Argyriou et al., 2012].
The regularizer is defined as:
\[\frac{1}{2} \left(\|x\|_k^{\text{ov}}\right)^2\]where \(\left(\|x\|_k^{\text{ov}}\right)^2\) is the squared k-overlap norm, defined in [Argyriou et al., 2012], def. 2.1.
- Parameters:
k (
int
) – Number of groups in \([0, d)\), where \(d\) is the dimensionality of the data.
Methods
moreau_envelope
(x[, tau])Moreau Envelope.
prox
(v[, tau])Proximal operator.
prox_dual
(v[, tau])Proximal operator of the convex conjugate.