def _forward_prop_random_thru_cav_mm(self, mx, vx):
"""Propagate uncertain inputs thru cavity, using simple Moment Matching
Args:
mx (float): input means, size K x Din
vx (TYPE): input variances, size K x Din
Returns:
output means and variances, and intermediate info for backprop
"""
psi0 = np.exp(2 * self.sf)
psi1, psi2 = compute_psi_weave(
2 * self.ls, 2 * self.sf, mx, vx, self.zu)
mout = np.einsum('nm,dm->nd', psi1, self.Ahat)
Bhatpsi2 = np.einsum('dab,nab->nd', self.Bhat_sto, psi2)
vout = psi0 + Bhatpsi2 - mout**2
return mout, vout, psi1, psi2
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