Patent Document ID: 8781782
Application ID: 13226863
Patent Flag: 1

Claim One:
1. A computer-implemented method of predicting sensor output values of a sensor monitoring system, comprising the steps of: providing a set of one or more test input values to a system of sensors, and one or more known sensor output values from said sensor system, wherein other sensor output values are unknown; calculating, using a computer, for each unknown sensor output value, a predictive Gaussian distribution function P ⁡ ( y U | x ) = ⁢ ∏ m ∈ U ⁢ P ⁡ ( y m | x ) = ⁢ 1 ( 2 ⁢ π ) d / 2 ⁢  S y U  1 / 2 ⁢ exp ⁡ ( - 1 2 ⁢ ( y U - μ y U ) T ⁢ S y U - 1 ⁡ ( y U - μ y U ) ) from the test input values, wherein vector x of dimensionality d represents the test input values, vector y U of dimensionality M represents the set of unknown output sensor output values, y m εy U , μ y U is a vector of mean values of the set y U determined by a training phase, S y U is a diagonal covariance matrix of the set y U determined by said training phase; and predicting each unknown output y m from P(y m |x, y O )=∫ y U m P(y m |x, y U m )P(y U |x)dy U m , wherein vector y O represents the known sensor output values, vector y U m represents unknown output sensor values in y U except y m, , and P(y m |x, y U m ) is a conditional Gaussian distribution defined by log P(y m |x,y U m )=− ½ log|K|−½y U m K −1 y T U m +C, wherein C=−(0.5 d)log(2π) and K is an N×N kernel matrix defined between pairs of test input values x i , x j wherein N is the number of test input values whose elements K i,j are defined by Gaussian kernel functions K i,j =k(x i , x j |Λ)=exp(−½(x i −x j ) T Λ −1 (x i −x j )), wherein Λ=diag[λ 1 2 ,. .. , λ d 2 ] T whose values λ i are determined by a training phase.