
SDPT3
 Referenced in 652 articles
[sw04009]
 structure are exploited. We also exploit lowrank structures in the constraint matrices associated...

SDPLR
 Referenced in 126 articles
[sw04745]
 based on the idea of lowrank factorization. A specialized version of SDPLR is also ... Programming Algorithm for Semidefinite Programs via Lowrank Factorization” written by S. Burer and R.D.C...

Manopt
 Referenced in 105 articles
[sw08493]
 pervasively in machine learning applications, including lowrank matrix completion, sensor network localization, camera network...

softImpute
 Referenced in 65 articles
[sw12263]
 columns or both, and for computing lowrank SVDs on large sparse centered matrices...

LOBPCG
 Referenced in 32 articles
[sw09638]
 Preconditioned lowrank methods for highdimensional elliptic PDE eigenvalue problems. We consider elliptic ... desired 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 ... MALS with LOBPCG and with our lowrank variant is proposed. A number of numerical...

ADMiRA
 Referenced in 31 articles
[sw31664]
 address compressed sensing of a lowrank matrix posing the inverse problem as an approximation ... sparse vector and a lowrank matrix and extending efficient greedy algorithms from the vector ... from the sparse vector to the lowrank matrix case. The performance guarantee is given ... case of noisy measurements and approximately lowrank solution. With a sparse measurement operator...

RTRMC
 Referenced in 36 articles
[sw20435]
 RTRMC : Lowrank matrix completion via preconditioned optimization on the Grassmann manifold. We address ... problem of recovering large matrices of low rank when most of the entries are unknown ... exploit the geometry of the lowrank constraint to recast the problem as an unconstrained...

ALEA
 Referenced in 51 articles
[sw10167]
 python framework for spectral methods and lowrank approximations in uncertainty quantification. ALEA is intended...

UQLab
 Referenced in 33 articles
[sw19740]
 expansions, Gaussian process modelling, a.k.a. Kriging, lowrank tensor approximations), rare event estimation (structural reliability...

STRUMPACK
 Referenced in 32 articles
[sw17483]
 both dense and sparse systems using lowrank structured factorization with randomized sampling...

NeNMF
 Referenced in 31 articles
[sw17586]
 matrix by the product of two lowrank nonnegative matrix factors. It has been widely...

NLEIGS
 Referenced in 29 articles
[sw22547]
 target set, and it also features lowrank approximation techniques for increased computational efficiency. Small...

DSDP5
 Referenced in 27 articles
[sw04411]
 interiorpoint method, sparse and lowrank data structures, extensibility that allows applications to customize...

OptShrink
 Referenced in 15 articles
[sw33657]
 OptShrink: an algorithm for improved lowrank signal matrix denoising by optimal, datadriven singular ... datadriven algorithm for denoising a lowrank signal matrix buried in noise. It takes ... matrix, an estimate of the signal matrix rank and returns as an output the improved ... blackbox manner wherever improving lowrank matrix estimation is desirable. The algorithm outperforms...

SLRA
 Referenced in 24 articles
[sw11262]
 norm. Backward error minimization and Sylvester lowrank approximation formulations of the problem are solved...

JIVE
 Referenced in 14 articles
[sw09511]
 decomposition consists of three terms: a lowrank approximation capturing joint variation across data types ... lowrank approximations for structured variation individual to each data type, and residual noise. JIVE...

Algorithm 844
 Referenced in 17 articles
[sw04407]
 required to obtain a reduced rank approximation to a sparse matrix A. Unfortunately, the approximations ... algorithm, to obtain two kinds of lowrank approximations. The first, the SPQR, approximation...

Algorithm 971
 Referenced in 9 articles
[sw22686]
 intense development of randomized methods for lowrank approximation. These methods target principal component analysis ... several tests, the randomized algorithms for lowrank approximation outperform or at least match...

SymNMF
 Referenced in 12 articles
[sw12668]
 SymNMF: nonnegative lowrank approximation of a similarity matrix for graph clustering. Nonnegative matrix factorization...

Colibri
 Referenced in 8 articles
[sw12043]
 large static and dynamic graphs. Lowrank approximations of the adjacency matrix of a graph ... desirable to track the lowrank structure as the graph evolves over time, efficiently...