• ALEA

  • Referenced in 60 articles [sw10167]
  • methods; stochastic Galerkin FEM; adaptive numerical methods; tensor methods for UQ. Most of these areas...
  • TENSOLVE

  • Referenced in 29 articles [sw00956]
  • nonlinear least-squares problems using tensor methods. This article describes a modular software package ... class of methods called tensor methods. It is intended for small- to medium-sized problems ... user to choose between a tensor method and a standard method based on a linear ... model. The tensor method approximates F(x) by a quadratic model, where the second-order...
  • VTK

  • Referenced in 120 articles [sw10593]
  • visualization algorithms including: scalar, vector, tensor, texture, and volumetric methods; and advanced modeling techniques such...
  • Golem95

  • Referenced in 25 articles [sw00371]
  • problem: Evaluation of one-loop multi-leg tensor integrals occurring in the calculation of next ... amplitudes in elementary particle physics. Solution method: Tensor integrals are represented in terms of form...
  • TenEig

  • Referenced in 25 articles [sw14671]
  • Computing tensor eigenvalues via homotopy methods. We introduce the concept of mode-k generalized eigenvalues ... type algorithms to solve tensor eigenproblems. With proper implementation, these methods can find all equivalence...
  • Algorithm 738

  • Referenced in 7 articles [sw08077]
  • software package for unconstrained optimization using tensor methods. This paper describes a software package ... choose between a recently developed “tensor method” for unconstrained optimization and an analogous standard method ... based on a quadratic model. The tensor method bases each iteration on a specially constructed ... quadratic model. In our experience, the tensor method requires significantly fewer iterations and function evaluations...
  • xTras

  • Referenced in 48 articles [sw16622]
  • present the tensor computer algebra package xTras, which provides functions and methods frequently needed when ... tensorial equations. It is built upon the tensor computer algebra system xAct, a collection...
  • SPLATT

  • Referenced in 9 articles [sw30093]
  • fast, parallel method of multiplying a matricide tensor by a Khatri-Rao product ... which is a key kernel in tensor factorization methods. SPLATT uses a novel data structure ... tensors. This data structure has a small memory footprint similar to competing methods and allows...
  • UFL

  • Referenced in 77 articles [sw11183]
  • tensor algebra. With these features, UFL has been used to effortlessly express finite element methods...
  • SDPNAL+

  • Referenced in 59 articles [sw13239]
  • viable method currently available to solve large scale SDPs arising from rank-1 tensor approximation...
  • TENSOR

  • Referenced in 32 articles [sw18284]
  • program, TENSOR, for the calculation of underground explosion phenomena and other time dependent problems involving ... fractured, and fluid materials is discussed. The method used in the code allows treatment ... stress tensor) of conventional Lagrangian techniques for compressible flow and shock hydrodynamics problems. Methods...
  • Algorithm 739

  • Referenced in 4 articles [sw04404]
  • software package for unconstrained optimization using tensor methods This paper describes a software package ... choose between a recently developed “tensor method” for unconstrained optimization and an analogous standard method ... based on a quadratic model. The tensor method bases each iteration on a specially constructed ... quadratic model. In our experience, the tensor method requires significantly fewer iterations and function evaluations...
  • TTDock

  • Referenced in 5 articles [sw35063]
  • TTDock: a docking method based on tensor train decompositions. A new docking method based ... tensor train decomposition is proposed. This method allows one to find the position ... testing results, the docking method based on tensor train decompositions is up to 10 times...
  • qTorch

  • Referenced in 5 articles [sw27767]
  • perform numerical tests. Tensor network (TN) contraction is an algorithmic method that can efficiently simulate ... methods that simulate the full Hilbert space. In this study we implement a tensor network ... test two different methods for generating the ordering of tensor index contractions: one is based ... results in this work suggest that tensor contraction methods are superior only when simulating...
  • MultiCluster

  • Referenced in 6 articles [sw30715]
  • individual gene expression data using semi-nonnegative tensor decomposition. The advent of high-throughput sequencing ... tissues, individuals, and interactions thereof. Classical clustering methods are ill-suited to explore these three ... statistical method, called MultiCluster, based on semi-nonnegative tensor decomposition which permits the investigation ... high power, demonstrating the advantage of tensor-based methods in incorporating information across similar tissues...
  • LOBPCG

  • Referenced in 33 articles [sw09638]
  • Preconditioned low-rank methods for high-dimensional 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 low-rank tensor format. In this paper ... show how the ALS and MALS (DMRG) methods known from computational quantum physics...
  • STENMIN

  • Referenced in 2 articles [sw00917]
  • user to select between a tensor method and a standard method based upon a quadratic ... model. The tensor method models the objective function by a fourth-order model, where ... entirely new way of minimizing the tensor model that makes it suitable for solving large ... results indicate that, in general, the tensor method is often more efficient and more reliable...
  • SGLib

  • Referenced in 5 articles [sw22366]
  • methods with a special focus on tensor product methods...
  • Rubik

  • Referenced in 2 articles [sw30094]
  • Rubik: Knowledge Guided Tensor Factorization and Completion for Health Data Analytics. Computational phenotyping ... Rubik, a constrained non-negative tensor factorization and completion method for phenotyping. Rubik incorporates ... utilize the Alternating Direction Method of Multipliers (ADMM) framework to tensor factorization and completion, which ... than current state-of-the-art tensor methods. Finally, Rubik is scalable to large datasets...
  • PTAk

  • Referenced in 5 articles [sw24259]
  • Modes. A multiway method to decompose a tensor (array) of any order, as a generalisation ... package includes also some other multiway methods: PCAn (Tucker-n) and PARAFAC/CANDECOMP with these extensions...