TT Toolbox
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Source code repository: https://github.com/oseledets/TT-Toolbox
Related Items (52)
QTT-isogeometric solver in two dimensions ⋮ Dynamic tensor approximation of high-dimensional nonlinear PDEs ⋮ Adaptive stochastic Galerkin FEM with hierarchical tensor representations ⋮ Nonnegative tensor-train low-rank approximations of the Smoluchowski coagulation equation ⋮ Rank Bounds for Approximating Gaussian Densities in the Tensor-Train Format ⋮ Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format ⋮ Randomized algorithms for the approximations of Tucker and the tensor train decompositions ⋮ Low-Rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems ⋮ The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format ⋮ Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats ⋮ A low-rank solver for the stochastic unsteady Navier-Stokes problem ⋮ Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds ⋮ Computing Low-Rank Approximations of Large-Scale Matrices with the Tensor Network Randomized SVD ⋮ Simultaneous state-time approximation of the chemical master equation using tensor product formats ⋮ Fast nonnegative tensor factorizations with tensor train model ⋮ Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data ⋮ A tensor-train accelerated solver for integral equations in complex geometries ⋮ Constrained Optimization with Low-Rank Tensors and Applications to Parametric Problems with PDEs ⋮ Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions ⋮ A two-step accelerated Levenberg-Marquardt method for solving multilinear systems in tensor-train format ⋮ Chebfun in Three Dimensions ⋮ On manifolds of tensors of fixed TT-rank ⋮ Low-Rank Solution to an Optimization Problem Constrained by the Navier--Stokes Equations ⋮ An equi-directional generalization of adaptive cross approximation for higher-order tensors ⋮ Exploiting Efficient Representations in Large-Scale Tensor Decompositions ⋮ Nonnegative Tensor Train Factorizations and Some Applications ⋮ Alternating iterative methods for solving tensor equations with applications ⋮ Jacobi--Davidson Method on Low-Rank Matrix Manifolds ⋮ Towards tensor-based methods for the numerical approximation of the Perron-Frobenius and Koopman operator ⋮ On evolution of solution times for the chemical master equation of the enzymatic futile cycle ⋮ Algorithm 941 ⋮ Methods for nonnegative matrix factorization based on low-rank cross approximations ⋮ Multigrid Methods for Tensor Structured Markov Chains with Low Rank Approximation ⋮ Tensor Algorithms for Advanced Sensitivity Metrics ⋮ Tensor Numerical Methods in Quantum Chemistry ⋮ TT-cross approximation for multidimensional arrays ⋮ Q-less QR decomposition in inner product spaces ⋮ A Low-Rank Tensor Method for PDE-Constrained Optimization with Isogeometric Analysis ⋮ Block-Diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs ⋮ Approximation and sampling of multivariate probability distributions in the tensor train decomposition ⋮ Nonnegative tensor train factorization with DMRG technique ⋮ A Hybrid Alternating Least Squares--TT-Cross Algorithm for Parametric PDEs ⋮ Riemannian Optimization for High-Dimensional Tensor Completion ⋮ Computing Inner Eigenvalues of Matrices in Tensor Train Matrix Format ⋮ Iterative algorithms for the post-processing of high-dimensional data ⋮ Fundamental tensor operations for large-scale data analysis using tensor network formats ⋮ Multilinear Control Systems Theory ⋮ Fast Multidimensional Convolution in Low-Rank Tensor Formats via Cross Approximation ⋮ Robust Alternating Direction Implicit Solver in Quantized Tensor Formats for a Three-Dimensional Elliptic PDE ⋮ A literature survey of low-rank tensor approximation techniques ⋮ Parameter-Robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier--Stokes Control ⋮ Parallel Algorithms for Tensor Train Arithmetic
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