no code implementations • 15 Sep 2016 • Johann A. Bengua, Ho N. Phien, Hoang D. Tuan, Minh N. Do
This paper introduces matrix product state (MPS) decomposition as a new and systematic method to compress multidimensional data represented by higher-order tensors.
no code implementations • 14 Jul 2016 • Johann A. Bengua, Hoang D. Tuan, Ho N. Phien, Minh N. Do
The proposed framework performs image completion by concatenating copies of a single image that has missing entries into a third-order tensor, applying a dimensionality augmentation technique to the tensor, utilizing a tensor completion algorithm for recovering its missing entries, and finally extracting the recovered image from the tensor.
no code implementations • 5 Jun 2016 • Johann A. Bengua, Ho N. Phien, Hoang D. Tuan, Minh N. Do
The approach is based on the tensor train (TT) rank, which is able to capture hidden information from tensors thanks to its definition from a well-balanced matricization scheme.
Numerical Analysis Data Structures and Algorithms
1 code implementation • 18 Mar 2015 • Ho N. Phien, Johann A. Bengua, Hoang D. Tuan, Philippe Corboz, Roman Orus
The infinite Projected Entangled Pair States (iPEPS) algorithm [J. Jordan et al, PRL 101, 250602 (2008)] has become a useful tool in the calculation of ground state properties of 2d quantum lattice systems in the thermodynamic limit.
Strongly Correlated Electrons High Energy Physics - Lattice Quantum Physics
no code implementations • 2 Mar 2015 • Johann A. Bengua, Ho N. Phien, Hoang D. Tuan, Minh N. Do
This paper introduces matrix product state (MPS) decomposition as a computational tool for extracting features of multidimensional data represented by higher-order tensors.