| Publication | Date of Publication | Type |
|---|
| Spectral neural operators | 2024-03-27 | Paper |
| Minimization methods for approximating tensors and their comparison | 2024-03-01 | Paper |
| Tensor Train Decomposition for Adversarial Attacks on Computer Vision Models | 2023-12-19 | Paper |
| Black Box Approximation in the Tensor Train Format Initialized by ANOVA Decomposition | 2023-09-08 | Paper |
| On the structure of the Schur complement matrix for the Stokes equation | 2023-09-03 | Paper |
| Local convergence of alternating low‐rank optimization methods with overrelaxation | 2023-08-17 | Paper |
| On the efficient preconditioning of the Stokes equations in tight geometries | 2023-07-11 | Paper |
| Tensor networks in machine learning | 2023-05-09 | Paper |
| Adaptive Cross Tubal Tensor Approximation | 2023-05-08 | Paper |
| Growing axons: greedy learning of neural networks with application to function approximation | 2023-03-09 | Paper |
| Extension of dynamic mode decomposition for dynamic systems with incomplete information based on t-model of optimal prediction | 2023-02-10 | Paper |
| General Covariance Data Augmentation for Neural PDE Solvers | 2023-01-30 | Paper |
| PROTES: Probabilistic Optimization with Tensor Sampling | 2023-01-28 | Paper |
| FMM-Net: neural network architecture based on the Fast Multipole Method | 2022-12-25 | Paper |
| Optimization of Functions Given in the Tensor Train Format | 2022-09-29 | Paper |
| Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions | 2022-08-26 | Paper |
| Cross Tensor Approximation for Image and Video Completion | 2022-07-13 | Paper |
| Constructive TT-representation of the tensors given as index interaction functions with applications | 2022-06-08 | Paper |
| Direct optimization of BPX preconditioners | 2022-05-12 | Paper |
| Deep neural networks and adaptive quadrature for solving variational problems | 2022-04-22 | Paper |
| Active Subspace of Neural Networks: Structural Analysis and Universal Attacks | 2022-03-01 | Paper |
| Extension of Dynamic Mode Decomposition for dynamic systems with incomplete information based on t-model of optimal prediction | 2022-02-23 | Paper |
| Direct optimization of BPX preconditioners | 2021-10-28 | Paper |
| New applications of matrix methods | 2021-07-07 | Paper |
| Reduced-order modeling of deep neural networks | 2021-07-07 | Paper |
| Structuring data with block term decomposition: decomposition of joint tensors and variational block term decomposition as a parametrized mixture distribution model | 2021-07-07 | Paper |
| Fast, memory-efficient low-rank approximation of SimRank | 2021-04-22 | Paper |
| Solution of the Fokker-Planck equation by cross approximation method in the tensor train format | 2021-02-16 | Paper |
| Tensor Completion via Gaussian Process--Based Initialization | 2021-01-29 | Paper |
| Two-phase approaches to optimal model-based design of experiments: how many experiments and which ones? | 2021-01-22 | Paper |
| Simple non-extensive sparsification of the hierarchical matrices | 2020-06-21 | Paper |
| Deep Representation Learning for Dynamical Systems Modeling | 2020-02-10 | Paper |
| Black-box learning of multigrid parameters | 2020-01-31 | Paper |
| Randomized Algorithms for Computation of Tucker decomposition and Higher Order SVD (HOSVD) | 2020-01-20 | Paper |
| Tensor Completion via Gaussian Process Based Initialization | 2019-12-11 | Paper |
| Growing axons: greedy learning of neural networks with application to function approximation | 2019-10-28 | Paper |
| Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential | 2019-09-28 | Paper |
| Neural networks for topology optimization | 2019-09-19 | Paper |
| Tensor train spectral method for learning of hidden Markov models (HMM) | 2019-09-11 | Paper |
| Approximate solution of linear systems with Laplace-like operators via cross approximation in the frequency domain | 2019-09-11 | Paper |
| Robust regularization of topology optimization problems with \textit{a posteriori} error estimators | 2019-05-10 | Paper |
| Alternating Least Squares as Moving Subspace Correction | 2018-12-19 | Paper |
| Convergence analysis of projected fixed‐point iteration on a low‐rank matrix manifold | 2018-11-29 | Paper |
| Application of machine learning to viscoplastic flow modeling | 2018-09-18 | Paper |
| Scalable topology optimization with the kernel-independent fast multipole method | 2018-08-10 | Paper |
| How to optimize preconditioners for the conjugate gradient method: a stochastic approach | 2018-06-15 | Paper |
| ``Compress and Eliminate” Solver for Symmetric Positive Definite Sparse Matrices | 2018-06-15 | Paper |
| Jacobi--Davidson Method on Low-Rank Matrix Manifolds | 2018-04-25 | Paper |
| Desingularization of Bounded-Rank Matrix Sets | 2018-04-06 | Paper |
| Numerical tensor methods. Tensor trains in mathematics and computer science (to appear) | 2018-02-19 | Paper |
| QTT-isogeometric solver in two dimensions | 2018-02-08 | Paper |
| Function approximation using gradient information with application to parametric and stochastic differential equations | 2018-02-05 | Paper |
| Robust topology optimization using a posteriori error estimator for the finite element method | 2017-12-08 | Paper |
| Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 2 Applications and Future Perspectives | 2017-11-22 | Paper |
| Rectangular maximum-volume submatrices and their applications | 2017-11-15 | Paper |
| Deep Multigrid: learning prolongation and restriction matrices | 2017-11-10 | Paper |
| QTT-finite-element approximation for multiscale problems. I: Model problems in one dimension | 2017-09-01 | Paper |
| Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation | 2017-08-09 | Paper |
| Improved n-Term Karatsuba-Like Formulas in GF(2) | 2017-07-27 | Paper |
| Regularization of topology optimization problem by the FEM a posteriori error estimator | 2017-06-12 | Paper |
| Fast topological-shape optimization with boundary elements in two dimensions | 2017-05-23 | Paper |
| Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions | 2017-05-18 | Paper |
| The DEPOSIT computer code based on the low rank approximations | 2017-05-05 | Paper |
| Vico-Greengard-Ferrando quadratures in the tensor solver for integral equations | 2017-04-05 | Paper |
| Grid-based electronic structure calculations: the tensor decomposition approach | 2016-12-20 | Paper |
| A low-rank approach to the computation of path integrals | 2016-12-05 | Paper |
| Robust discretization in quantized tensor train format for elliptic problems in two dimensions | 2016-12-04 | Paper |
| Computation of extreme eigenvalues in higher dimensions using block tensor train format | 2016-09-12 | Paper |
| Fast low‐rank approximations of multidimensional integrals in ion‐atomic collisions modelling | 2016-07-19 | Paper |
| Iterative representing set selection for nested cross approximation | 2016-07-19 | Paper |
| Engineering optimization with the fast boundary element method | 2016-06-10 | Paper |
| Calculating vibrational spectra of molecules using tensor train decomposition | 2016-05-26 | Paper |
| Convergence analysis of projected fixed-point iteration on a low-rank matrix manifold | 2016-04-06 | Paper |
| Preconditioners for hierarchical matrices based on their extended sparse form | 2016-02-24 | Paper |
| Fast Toeplitz linear system inversion for solving two-dimensional acoustic inverse problem | 2015-12-10 | Paper |
| From Low-Rank Approximation to a Rational Krylov Subspace Method for the Lyapunov Equation | 2015-12-09 | Paper |
| Rectangular submatrices of maximum volume and their computation | 2015-09-28 | Paper |
| Low-rank retractions: a survey and new results | 2015-09-21 | Paper |
| Fast Multidimensional Convolution in Low-Rank Tensor Formats via Cross Approximation | 2015-06-09 | Paper |
| Time Integration of Tensor Trains | 2015-05-27 | Paper |
| A projector-splitting integrator for dynamical low-rank approximation | 2014-05-23 | Paper |
| Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs | 2014-03-26 | Paper |
| DMRG approach to fast linear algebra in the TT-format | 2014-03-26 | Paper |
| Tensor-train ranks for matrices and their inverses | 2014-03-26 | Paper |
| Fast low-rank solution of the Poisson equation with application to the Stokes problem | 2013-06-10 | Paper |
| Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation | 2013-03-06 | Paper |
| Constructive representation of functions in low-rank tensor formats | 2013-03-04 | Paper |
| Low-Rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients | 2013-01-24 | Paper |
| Solution of Linear Systems and Matrix Inversion in the TT-Format | 2013-01-24 | Paper |
| A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients | 2012-05-14 | Paper |
| Wedderburn Rank Reduction and Krylov Subspace Method for Tensor Approximation. Part 1: Tucker Case | 2012-05-07 | Paper |
| Tensor-Train Decomposition | 2012-02-23 | Paper |
| Algebraic Wavelet Transform via Quantics Tensor Train Decomposition | 2011-12-07 | Paper |
| Representation of quasiseparable matrices using excluded sums and equivalent charges | 2011-12-02 | Paper |
| Cross approximation in tensor electron density computations | 2011-09-02 | Paper |
| QTT approximation of elliptic solution operators in higher dimensions | 2011-08-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3086656 | 2011-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3084840 | 2011-03-25 | Paper |
| Tensor-Train Decomposition | 2011-01-01 | Paper |
| Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition | 2010-11-04 | Paper |
| Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions | 2010-10-19 | Paper |
| Fast Simultaneous Orthogonal Reduction to Triangular Matrices | 2010-05-25 | Paper |
| Fast orthogonalization to the kernel of the discrete gradient operator with application to Stokes problem | 2010-02-09 | Paper |
| Recursive decomposition of multidimensional tensors | 2010-02-05 | Paper |
| A new tensor decomposition | 2010-02-05 | Paper |
| Approximation of matrices with logarithmic number of parameters | 2010-01-12 | Paper |
| The tensor structure of the inverse of a banded Toeplitz matrix | 2010-01-12 | Paper |
| TT-cross approximation for multidimensional arrays | 2010-01-01 | Paper |
| TT-cross approximation for multidimensional arrays | 2009-12-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3652463 | 2009-12-17 | Paper |
| Linear algebra for tensor problems | 2009-09-14 | Paper |
| Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time | 2009-07-22 | Paper |
| Matrix inversion cases with size-independent tensor rank estimates | 2009-07-02 | Paper |
| Approximation of Toeplitz matrices by sums of circulants and small-rank matrices | 2009-03-09 | Paper |
| Optimal Karatsuba-like formulae for certain bilinear forms in GF(2) | 2008-10-06 | Paper |
| Lower bounds for separable approximations of the Hilbert kernel | 2008-07-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5448153 | 2008-03-20 | Paper |
| The integral operator with logarithmic kernel has only one positive eigenvalue | 2008-03-14 | Paper |
| A unifying approach to the construction of circulant preconditioners | 2006-12-07 | Paper |
| Tensor properties of multilevel Toeplitz and related matrices | 2005-12-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5317969 | 2005-09-21 | Paper |
| Use of divided differences and B splines for constructing fast discrete transforms of wavelet type on nonuniform grids | 2005-09-08 | Paper |
| Matrix approximations and solvers using tensor products and non-standard wavelet transforms related to irregular grids | 2004-10-21 | Paper |
