Patent Document ID: 20160300149
Application ID: 14680232
Patent Flag: 0

Claim One:
1. A method for calculating a relation indicator for a relation between entities, the method comprising: providing a measurement tensor X of measurement tensor components, X ijk , with i, j=1. .. N, comprising measurement data as relation indicators, wherein the relation indicator X ijk indicates a k-th relation between an i-th and a j-th of a number, N, of entities; providing a rules tensor M of rules tensor components, M ijn , describing a prediction of an n-th rule; calculating a weighting tensor of weighting tensor components, W nk , indicating relative weights of the rules for the k-th relation between the entities; calculating a relationship tensor R of relationship tensor components, R abk , with a, b=1. .. r, indicating relations between a set of a number, r, of properties of the entities; calculating a transformation tensor A of transformation tensor components, A ia , describing the i-th entity via r latent properties, wherein the transformation tensor A, the weighting tensor W, and the relationship tensor R are calculated as minimum solutions to the following equation: min A , R , W  X ijk - X ijk ′  F 2 + λ A  A  F 2 + λ R  R  F 2 + λ W  W  F 2 , with λ A , λ R , and λ W as Lagrange parameters and with result tensor components X ijk ′ of a result tensor X′ given by: 
 X ijk ′ =Σ a,b,n ( A ia R abk A bj T +M ijn W nk ), where A T is the transposed tensor corresponding to the transformation tensor A; and calculating a value of the relation indicator for the k-th relation between the i-th and the j-th entity based on the result tensor component X ijk ′ .