KullbackLeiblerConvexConj

class odl.functionals.default_functionals.KullbackLeiblerConvexConj(*args, **kwargs)[source]

The convex conjugate of Kullback-Leibler divergence functional.

Notes

The functional $F^*$ with prior $g>=0$ is given by:

$F^*(x) = \begin{cases} \sum_{i} \left( -g_i \ln(1 - x_i) \right) & \text{if } x_i < 1 \forall i \\ +\infty & \text{else} \end{cases}$

KullbackLeibler : convex conjugate functional

__init__(space, prior=None)[source]

Initialize a new instance.

spaceDiscretizedSpace or TensorSpace: Domain of the functional.
priorspace element-like, optional: Depending on the context, the prior, target or data distribution. It is assumed to be nonnegative. Default: if None it is take as the one-element.