7. The method according to claim 6 wherein the likelihood function is maximized by iteratively updating {tilde over (Ω)}=Ω over the range of i and j, until convergence is achieved, with update rules: update {C (j) } j=1 m , to maximize the objective function log ⁢ ⁢ L ⁢ ⁢ ( Ω | Ψ ) = ∑ p = 1 n 1 ⁢ ∑ g = 1 k 1 ⁢ C gp ( 1 ) ⁢ log ⁢ ⁢ Λ gp ( 1 ) + ∑ q = 1 n 2 ⁢ ∑ h = 1 k 2 ⁢ C hq ( 2 ) ⁢ log ⁢ ⁢ Λ gp ( 2 ) - D ϕ ⁢ ⁢ 1 ⁡ ( F , Θ ⁢ ⁢ C ( 1 ) ) - D ϕ ⁢ ⁢ 2 ⁡ ( S , ( C ( 1 ) ) T ⁢ Γ ⁢ ⁢ C ( 1 ) ) - D ϕ ⁢ ⁢ 3 ⁡ ( R , C ( 1 ) ) T ⁢ ⁢ C ( 2 ) + τ ⁢ wherein ⁢ Θ · g ( j ) = ∑ p : C gp ( j ) = 1 ⁢ F · p ( j ) ∑ p = 1 n j ⁢ C gp ( j ) , ⁢ ⁢ Γ gh ( j ) = ∑ p : C gp ( i ) = 1 , q : C hq ( j ) = 1 ⁢ S pq ( j ) ∑ p = 1 n j ⁢ C gp ( j ) ⁢ ∑ q = 1 n j ⁢ C hq ( j ) , ⁢ ⁢ gh ( ij ) = ∑ p : C gp ( i ) = 1 , q : C hq ( j ) = 1 ⁢ R pq ( ij ) ∑ p = 1 n i ⁢ C gp ( i ) ⁢ ∑ q = 1 n j ⁢ C hq ( j ) , Ψ={{C (j) } j=1 m ,{F (j) } j=1 m ,{R (ij) } i,j=1 m }, τ=log f Φ 1 (F)+log f Φ 2 (S)+log f Φ 3 (R), D Φ 1 is a Bregman divergence for the attributes, D Φ 2 is a Bregman divergence for the homogeneous relations, D Φ 3 is a Bregman divergence for heterogeneous relations, and f Φ n represents a uniquely determined function for each respective exponential family distribution; to estimate unknown parameters of a joint probability distribution equation over the observations and latent indicators.
6. The method according to claim 5 , wherein the likelihood function is maximized by iteratively updating {tilde over (Ω)}=Ω over the range of i and j, until convergence is achieved, with update rules: Λ hp ( 1 ) = Pr ⁡ ( C hp ( 1 ) = 1 | F , S , R , Ω ~ ) , ⁢ Θ · g = ∑ p = 1 n 1 ⁢ F · p ⁢ Pr ⁡ ( C gp ( 1 ) = 1 | F , S , R , Ω ~ ) ∑ p = 1 n 1 ⁢ Pr ⁡ ( C gp ( 1 ) = 1 | F , S , R , Ω ~ ) Γ gh = ∑ p , q = 1 n 1 ⁢ S pq ⁢ Pr ⁡ ( C gp ( 1 ) = 1 , C hq ( 1 ) = 1 | F , S , R , Ω ~ ) ∑ p , q = 1 n 1 ⁢ Pr ⁡ ( C gp ( 1 ) = 1 , C hq ( 1 ) = 1 | F , S , R , Ω ~ ) , to estimate unknown parameters of a joint probability distribution equation over the observations and latent indicators.