• SDPNAL+

  • Referenced in 53 articles [sw13239]
  • solve large scale SDPs arising from rank-1 tensor approximation problems constructed ... largest rank-1 tensor approximation problem we solved (in about 14.5 h) is nonsym...
  • ADMiRA

  • Referenced in 35 articles [sw31664]
  • ADMiRA: Atomic Decomposition for Minimum Rank Approximation. In this paper, we address compressed sensing ... rank matrix posing the inverse problem as an approximation problem with a specified target rank ... solution. A simple search over the target rank then provides the minimum rank solution satisfying ... sparse vector and a low-rank matrix and extending efficient greedy algorithms from the vector...
  • CirCut

  • Referenced in 42 articles [sw04782]
  • Rank-two relaxation heuristics for MAX-CUT and other binary quadratic programs The Goemans--Williamson ... better practical performance, we propose an alternative, rank-two relaxation and develop a specialized version ... problem.par A computer code based on the rank-two relaxation heuristics is compared with...
  • MNM

  • Referenced in 48 articles [sw06075]
  • Approach Based on Spatial Signs and Ranks , The package provides multivariate tests, estimates and methods ... identity score, spatial sign score and spatial rank score. The methods include...
  • Chebfun2

  • Referenced in 38 articles [sw12708]
  • form u(y)v(x) (low rank approximants), where ... Chebfun objects. The so-called low rank approximations are constructed using an iterative algorithm that ... functions of two variables is of low rank or can be approximated ... that can be written as one of rank 4 is found. The paper also discusses...
  • MULAN

  • Referenced in 65 articles [sw08062]
  • data. It offers a variety of classification, ranking, thresholding and dimensionality reduction algorithms, as well...
  • RTRMC

  • Referenced in 39 articles [sw20435]
  • RTRMC : Low-rank 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 low-rank constraint to recast the problem as an unconstrained...
  • LMIRank

  • Referenced in 35 articles [sw04823]
  • applications to controller analysis and design. The rank constrained LMI problem is a natural ... constraints together with an additional matrix rank constraint. Interest in rank constrained LMIs arises ... easily seen to be equivalent to rank one constrained LMI problems...
  • svdpack

  • Referenced in 60 articles [sw04819]
  • motivated by the need to compute large rank approximations to sparse term-document matrices from...
  • LOBPCG

  • Referenced in 33 articles [sw09638]
  • Preconditioned low-rank methods for high-dimensional elliptic PDE eigenvalue problems. We consider elliptic ... desired solution vector x in a low-rank tensor format. In this paper ... hierarchical Tucker decomposition to develop a low-rank variant of LOBPCG, a classical preconditioned eigenvalue ... MALS with LOBPCG and with our low-rank variant is proposed. A number of numerical...
  • SuiteSparseQR

  • Referenced in 41 articles [sw07348]
  • Algorithm 915, SuiteSparseQR: Multifrontal multithreaded rank-revealing sparse QR factorization. SuiteSparseQR is a sparse ... formation of the pattern of ATA. Approximate rank-detection is performed within each frontal matrix...
  • ALEA

  • Referenced in 55 articles [sw10167]
  • python framework for spectral methods and low-rank approximations in uncertainty quantification. ALEA is intended...
  • gbm

  • Referenced in 53 articles [sw07994]
  • loss, Huberized hinge loss, and Learning to Rank measures (LambdaMart...
  • LowRankModels

  • Referenced in 37 articles [sw27002]
  • package for modeling and fitting generalized low rank models (GLRMs). GLRMs model a data array ... rank matrix, and include many well known models in data analysis, such as principal components...
  • ALCON

  • Referenced in 36 articles [sw05315]
  • with rank F’(y)=n for y∈D. In particular, for the corrector iteration ... computed only once and thereafter a rank-one update is applied. The choice...
  • Pyglrm

  • Referenced in 36 articles [sw27003]
  • package for modeling and fitting generalized low rank models (GLRMs), based on the Julia package ... model a data array by a low rank matrix, and include many well known models...
  • XSEarch

  • Referenced in 28 articles [sw12180]
  • user’s query. Query answers are ranked using extended information-retrieval techniques and are generated ... order similar to the ranking. Advanced indexing techniques were developed to facilitate efficient implementation ... indicate that XSEarch is efficient, scalable and ranks quality results highly...
  • STRUMPACK

  • Referenced in 41 articles [sw17483]
  • both dense and sparse systems using low-rank structured factorization with randomized sampling...
  • UQLab

  • Referenced in 41 articles [sw19740]
  • expansions, Gaussian process modelling, a.k.a. Kriging, low-rank tensor approximations), rare event estimation (structural reliability...
  • KITTI

  • Referenced in 41 articles [sw30418]
  • evaluation website. Preliminary experiments show that methods ranking high on established benchmarks such as Middlebury...