Common use of Factorization in Dimensions D Clause in Contracts

Factorization in Dimensions D. L = (L ( )) − ( ( )|| ( ))( ) To factorize the Bayesian GPLVM bound, we need to find a way of writing the bound as a sum across divisible parts of the data. In this section we look at the fac- torization across dimensions, so that each dimension can be handled individually by individual cores. When looking at the Bayesian GPLVM bound (L2(Y))q(X) = − ND log 2π + ND log β + D log |KUU| + 1 log |KUU + βΨ2|

Factorization in Dimensions D. L = (L ( )) ⟩ − ( ( )|| ( ))( ) To factorize the Bayesian GPLVM bound, we need to find a way of writing the bound as a sum across divisible parts of the data. In this section we look at the fac- torization across dimensions, so that each dimension can be handled individually by individual cores. When looking at the Bayesian GPLVM bound (L2(Y))q(XL2(Y)⟩q(X) = − ND log 2π + ND log β + D log |KUU| + 1 log |KUU + βΨ2|