def factorize(self):
        """ Factorize s.t. CUR = data

            Updated Values
            --------------
            .C : updated values for C.
            .U : updated values for U.
            .R : updated values for R.
        """

        [prow, pcol] = self.sample_probability()

        self._rid = self.sample(self._rrank, prow)
        self._cid = self.sample(self._crank, pcol)

        self._cmdinit()

        self.computeUCR()