Patent Document ID: 10055689
Application ID: 14680232
Patent Flag: 1

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, by a processor, a weighting tensor W of weighting tensor components, W nk , indicating relative weights of the rules for the k-th relation between the entities; calculating, by a processor, 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, by a processor, 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; calculating, by a processor, 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 ′, wherein the calculating of the the relation indicator provides an improved processor runtime and reduced memory complexity in comparison to calculating a relation indicator via a pure latent variable method by reducing a required rank of a tensor; generating, by the processor, at least one control signal, based on the predicted value of the relation indicator; and controlling, by the processor, one or more of an actuator, a sensor, a controller, a field device, or a display using the generated control signal.