MERACLE: Constructive Layer-Wise Conversion of a Tensor Train into a MERA

In this article, two new algorithms are presented that convert a given data tensor train into either a Tucker decomposition with orthogonal matrix factors or a multi-scale entanglement renormalization ansatz (MERA). The Tucker core tensor is never explicitly computed but stored as a tensor train instead, resulting in both computationally and...

A tensor approach to linear parameter varying system identification