Theorem 1
Assume that the input data follows the ICA data model in (
2),
and that
G is a sufficiently smooth even function.
Then the set of local maxima
of
under the constraint
,
includes the
i-th row of the inverse of the mixing matrix
such that the corresponding independent component
si fulfills
|
(9) |
where
g(.) is the derivative of
G(.), and
is a standardized
Gaussian variable.