def moments_match_ep(self, data_i, tau_i, v_i, Y_metadata_i=None):
        """
        Moments match of the marginal approximation in EP algorithm

        :param i: number of observation (int)
        :param tau_i: precision of the cavity distribution (float)
        :param v_i: mean/variance of the cavity distribution (float)
        """
        sigma2_hat = 1./(1./self.variance + tau_i)
        mu_hat = sigma2_hat*(data_i/self.variance + v_i)
        sum_var = self.variance + 1./tau_i
        Z_hat = 1./np.sqrt(2.*np.pi*sum_var)*np.exp(-.5*(data_i - v_i/tau_i)**2./sum_var)
        return Z_hat, mu_hat, sigma2_hat
dataset/ETHPy150Open SheffieldML/GPy/GPy/likelihoods/gaussian.py/Gaussian.moments_match_ep/original