
TensorToolbox
 Referenced in 180 articles
[sw04185]
 expressed as the sum of rank1 tensors. We are interested in the case where...

Tensorlab
 Referenced in 71 articles
[sw14255]
 dense, sparse and incomplete data sets, tensor decompositions: canonical polyadic decomposition (CPD), multilinear singular value ... block term decompositions (BTD) and low multilinear rank approximation (LMLRA), complex optimization: quasiNewton ... real exact plane search (PS) for tensor optimization, and much ... more: cumulants, tensor visualization, estimating a tensor’s rank or multilinear rank...

SDPNAL+
 Referenced in 53 articles
[sw13239]
 solve large scale SDPs arising from rank1 tensor approximation problems constructed ... largest rank1 tensor approximation problem we solved (in about 14.5 h) is nonsym...

UQLab
 Referenced in 41 articles
[sw19740]
 Gaussian process modelling, a.k.a. Kriging, lowrank tensor approximations), rare event estimation (structural reliability), global...

LOBPCG
 Referenced in 33 articles
[sw09638]
 Preconditioned lowrank methods for highdimensional elliptic PDE eigenvalue problems. We consider elliptic ... eigenvalue problems on a tensorized domain, discretized such that the resulting matrix eigenvalue problem ... solution vector x in a lowrank tensor format. In this paper ... hierarchical Tucker decomposition to develop a lowrank variant of LOBPCG, a classical preconditioned eigenvalue...

PackageX
 Referenced in 13 articles
[sw18225]
 described. PackageX computes arbitrarily high rank tensor integrals with up to three propagators...

Cross
 Referenced in 7 articles
[sw30282]
 Cross: efficient lowrank tensor completion. The completion of tensors, or highorder arrays, attracts ... propose a framework for lowrank tensor completion via a novel tensor measurement scheme that ... show that a thirdorder tensor of Tucker rank ... error over certain classes of lowrank tensors for the proposed procedure. The results...

EFTofPNG
 Referenced in 7 articles
[sw20815]
 efficiently treating npoint functions as tensors of rank n. The package currently contains four...

TKPSVD
 Referenced in 12 articles
[sw28028]
 tensor, after which a polyadic decomposition with orthogonal rank1 terms is computed. We prove...

ALEA
 Referenced in 55 articles
[sw10167]
 python framework for spectral methods and lowrank approximations in uncertainty quantification. ALEA is intended ... methods; stochastic Galerkin FEM; adaptive numerical methods; tensor methods for UQ. Most of these areas...

TensorBox
 Referenced in 2 articles
[sw35869]
 decompositions of multiway array data into rank1 tensors such as CANDECOMP/PARAFAC; Tucker decomposition; Generalized ... Tensor deconvolution; Tensor train decomposition; Best rank1 tensor approximation; Tensor decomposition with given error...

cuTT
 Referenced in 1 article
[sw19961]
 variety of benchmarks with tensor ranks ranging from 2 to 12 and show that cuTT ... performance is independent of the tensor rank and that it performs no worse than ... scheme for choosing the optimal parameters for tensor transpose algorithms by implementing an analytical...

BTTSoftImpute
 Referenced in 1 article
[sw34805]
 Block tensor train decomposition for missing data estimation. We propose a method for imputation ... matrix data based on a lowrank tensor approximation technique called the block tensor train ... matrices is performed based on a lowrank BTT decomposition, by which storage and time ... scale data matrices admitting a lowrank tensor structure. An iterative softthresholding algorithm...

t3f
 Referenced in 4 articles
[sw32795]
 generalization of the lowrank decomposition from matrices to tensors (=multidimensional arrays...

E6Tensors
 Referenced in 1 article
[sw22275]
 Mathematica package E6Tensors, a tool for explicit tensor calculations in gauge theories. In addition ... provides structure constants, various higher rank tensors and expressions for the representations...

MUSCO
 Referenced in 1 article
[sw41479]
 Compression of neural networks. The lowrank tensor approximation is very promising for the compression ... efficient iterative approach, which alternates lowrank factorization with a smart rank selection and fine...

TuckerMPI
 Referenced in 3 articles
[sw27856]
 based on treating the data as a tensor, i.e., a multidimensional array, and computing ... result is a lowrank approximation of the original tensorstructured data. Compression efficiency...

PLANC
 Referenced in 2 articles
[sw41123]
 problem of lowrank approximation of massive dense nonnegative tensor data, for example, to discover ... scalable parallel algorithms to compute the lowrank approximation. We present a software package called ... Parallel Lowrank Approximation with Nonnegativity Constraints, which implements our solution and allows for extension ... data (dense or sparse, matrices or tensors of any order), algorithm (e.g., from multiplicative updating...

CoincidentRootLoci
 Referenced in 3 articles
[sw27110]
 Staglianò  On the algebraic boundaries among typical ranks for real binary forms. It provides some ... useful for working with symmetric tensors of dimension 2. Such tensors are bijectively associated with ... which uses QEPCAD to compute the real rank of binary forms defined over ℚ. This...

Deep_Learning
 Referenced in 3 articles
[sw32225]
 rank, the Lebesgue measure, and multivariate polynomials, as well as a library for tensor analysis...