Mathematical software

LOBPCG
Referenced in 33 articles [sw09638]
this paper, we use the hierarchical Tucker decomposition to develop a low-rank variant ... adapted to the hierarchical Tucker decomposition. Finally, a combination of ALS and MALS with LOBPCG...

TensorToolbox
Referenced in 185 articles [sw04185]
mathematical operations, including those typical to tensor decomposition algorithms. Second, we study factored tensors, which ... components. We consider two specific types: A Tucker tensor can be expressed as the product...

TuckerMPI
Referenced in 3 articles [sw27856]
Large-scale Data Compression via the Tucker Tensor Decomposition. Our goal is compression of massive ... multidimensional array, and computing its truncated Tucker decomposition, a higher-order analogue to the truncated ... singular value decomposition of a matrix. The result is a low-rank approximation ... TuckerMPI, our implementation of the truncated Tucker decomposition, including details of the data distribution...

N-way Toolbox
Referenced in 30 articles [sw12996]
Tucker models; Fitting the generalized rank annihilation method; Fitting the direct trilinear decomposition; Fitting models ... Perform rotations of core and models in Tucker models; Plus additional utility functions. In addition...

TensorBox
Referenced in 2 articles [sw35869]
rank-1 tensors such as CANDECOMP/PARAFAC; Tucker decomposition; Generalized Kronecker tensor decomposition; Tensor deconvolution; Tensor...

ATC
Referenced in 1 article [sw39352]
present ATC, a C++ library for advanced Tucker-based compression of multidimensional numerical data, based ... sequentially truncated higher-order singular value decomposition (ST-HOSVD) and bit plane truncation. Several techniques ... hybrid truncation scheme is described which combines Tucker rank truncation and TTHRESH quantization [Ballester-Ripoll ... approximate the error of truncated Tucker decompositions in the case of core and factor perturbations...

rTensor
Referenced in 3 articles [sw32423]
implements various tensor decomposition, including CP, GLRAM, MPCA, PVD, and Tucker. For tensors with...

TedNet
Referenced in 1 article [sw38105]
kinds of tensor decomposition(i.e., CANDECOMP/PARAFAC(CP), Block-Term Tucker(BT), Tucker-2, Tensor Train...

tntorch
Referenced in 2 articles [sw35476]
tensor train (TT) model, CANDECOMP/PARAFAC (CP), the Tucker model, and more. Supported operations ... indexing of tensors, broadcasting, assignment, etc.; Tensor decomposition and reconstruction; Element-wise and tensor-tensor...

LOBPCG